PRAXIS 5001 - MULTIPLE CHOICE SAMPLE QUESTIONS (MATH)

Rodrigo left his workplace at 4:50 P.M., and it took him 3/4 of an hour to get home. At what time did Rodrigo get home?

5:35 P.M.

Mrs. Fields' science class takes care of a plant at school. The class is responsible for watering the plant and measuring its growth. The students' measurements are charted in the table. Number of Months (m) Height of the Plant (h) in inches 1 8 2 13 3 18 4 23 Which of the following equations relates the height ofthe plant, h, and the number ofmonths, m, assuming a constant rate of growth?

5m + 3 = h

Which of the following correctly combines like terms for the following equation? 3x - 4 + 6x + 5 - 4x - 2 = 16

5x - 1 = 16

Into how many equilateral triangles can a regular hexagon be decomposed?

6 (In each triangle, the angle that is opposed to the base measures 360°÷6=60°360°÷6=60°. Then, each base angle measures (180°−60°)÷2=120°÷2=60°. It follows that, in each triangle, all angles have the same measure; thus, the 6 triangles are equilateral.)

A school fundraiser is selling candy bars to raise money for a new gymnasium. If Billy sells a total of $650 worth of candy bars for $x per candy bar, which equation would be used to find out how many candy bars Billy sold?

650 / x

The figure presents a sequence of figures in a 3 column table, with 4 rows of data. The heading for column 1 is "Term." The heading for column 2 is "Figure." The heading for column 3 is "Lines Needed." The 4 rows of data are as follows. Row 1. Term 1**: 1 square, 4** lines. Row 2. Term 2**: 1 square, 1 cross, 1 square, 10** lines. Row 3. Term 3**: 1 square, 1 cross, 1 square, 1 cross, 1 square, 16** lines. Row 4: All three columns indicate that the table continues In the sequence of figures shown, the first term is made of a single square and each successive term is made by adding one cross and one square to the preceding term. To form each square, 4 line segments are needed, and to form each cross, 2 line segments are needed. Which of the following expressions can be used to find the number of line segments needed to form the nth term in the sequence of figures?

6n-2

Alireza has been reading a 600-page novel at a constant rate. The graph shows the number of pages y he has read after x days of reading. If he continues reading at the same rate, how many days will it take him to read the novel from beginning to end?

8 days to read

{9, 11, 1, 4, 7, 12, 10, 4, 9, 2, 5, 9, 8 } The figure presents a box plot. 15 equally spaced tick marks are indicated on a number line. The letters A, B, C, D, and E are indicated at some of the tick marks on the number line. A is indicated at the third tick mark, B is indicated at the sixth tick mark, C is indicated at the seventh tick mark, D is indicated at the ninth tick mark, and E is indicated at the twelfth tick mark. The whiskers range from point A to point E, and the box ranges from point B to point D, with an interior vertical line segment at point C. The list shows the number of books each of the 13 students in a class read over the summer. The teacher wants to summarize the data using the boxplot shown. What is the value of C on this boxplot? (Median)

8 is the median

ETS: Which of the following is an example of the commutative property of addition?

8+9 = 9+8

Jamal bought a pair of headphones priced at $17.99. If the sales tax rate is 8 percent, which of the following proportions can be used to find the amount of sales tax x, in dollars, for the headphones?

8/100 = x/17.99

The Clearbrook Wildcats basketball team scored an average of 77 points in four games. In the first three games, the team scored 70, 76, and 82 points. How many points did they score in their last game?

80 pts

The net shown above forms a right triangular prism. Which of the following represents the surface area of the right triangular prism?

84 The surface area of the three-dimensional figure is the sum of the areas of its faces. The faces of the right triangular prism are a 6-by-5 rectangle, a 6-by-4 rectangle, a 6-by-3 rectangle, and two congruent right triangles, each of which has sides of lengths 4 and 3. The areas of the rectangular faces are, respectively, 6×56×5, or 30; 6×46×4, or 24; and 6×36×3, or 18. The area of each of the triangular faces is 12×3×412×3×4, or 6. Therefore, the surface area of the figure is 30+24+18+2×630+24+18+2×6, or 84.

Consider the algorithm shown. Step 1: Select a numerical value for the variable k. Step 2: Add 3 to k. Step 3: Multiply the result by 8. Step 4: Cube the result. Step 5: End. Executing the algorithm shown is equivalent to evaluating which of the following algebraic expressions?

8^3(k+3)^3

Cube A has a volume of 1 cubic inch. The length of each side of cube B is 1 inch greater than the length of each side of cube A. The volume of cube B is how many times the volume of cube A?

8x the volume The length of each side in cube B is 1 inch greater than the 1 inch length of each side in cube A, so each side in cube B has length 2 inches. The volume of cube B is thus 8 cubic inches, which is 8 times the volume of cube A.

The Statue of Liberty casts a shadow that is 37 meters long at the same time that a nearby vertical 5-meter pole casts a shadow that is 2 meters long. Based on shadow height, the height, in meters, of the Statue of Liberty must be within which of the following ranges?

90 meters to 95 meters (L/37 = 5/2)

In the xy-plane, point A has coordinates (2,1) and point B has coordinates (5,1). Which of the following could be the coordinates for point C so that the area of triangle ABCA B C is equal to 9 square units?

A (5,7)

A basket contains A apples and P pears, and there are two fewer apples than three times the number of pears. Which of the following equations can be used to represent algebraically the relationship between the number of apples and the number of pears in the basket?

A+2=3P

Tasha has T books, and Aisha has A books. Aisha has twice as many books as Tasha, and altogether they have 30 books. Which of the following proportions can be used to find out how many books Aisha has?

A:(T+A)=2:3A:(T+A)=2:3

Which of the following can be used to name the ray that has endpoint A and goes in the direction of C in the figure shown?

AC and AB

Mr. Smythe has asked his students to come up with function rules for the following table of data. xx yy -1 1 0 0 Adam says that the function rule is y=−xy=-x, Belinda says that the function rule is y=−x2y=-x2, and Chandra says that the function rule is y=−x2−2xy=-x2-2x. Which of the three equations could be the function rule for the table?

Adam's and Chandra's only

Sara went to the store to buy some clothes. She bought six shirts, half as many pairs of pants as shirts, and a fourth as many sweaters as shirts. How many pieces of clothing did Sara buy? Which of the following statements about the solution to the word problem shown must be true?

Because of the real-world context, the solution must belong to the set of all natural numbers; therefore, the solution is not acceptable. The solution to the given word problem must belong to the set of all natural numbers because the unit is pieces of clothing, which is a positive and discrete unit. According to the word problem, Sara bought 6 shirts, 3 pairs of pants, and 112112 sweaters, totaling 10121012 pieces of clothing. The solution is, therefore, not acceptable since it is not a natural number.

Ms. Gupta is making 3 batches of chocolate chip cookies for a picnic. Each batch requires 1 and 1/2 cups of sugar and 3 and 1/4 cups of flour. Which of the following is the best estimate of the total amount of sugar and flour Ms. Gupta uses for the cookies?

Between 12 and 15 cups

Question: Which of the following statements must be true about the two non-right angles of a right triangle?

Both angles are acute.

3x^5 + 7x^3 − 53x^5 + 7x^3 − 5 Which of the following lists the coefficients and degrees of the terms in the polynomial shown?

Coefficients: 3, 7, −5−5 ; Degrees: 5, 3, 0

A mathematics teacher determines that the median score for the most recent test was 80 percent. Which of the following is the most accurate interpretation of the result?

Half of the students scored below 80 percent

Which of the following could be used to describe the polygon shown? (rectangle with middle two sides having extra squares that stick out)

Irregular and concave (The polygon can be described as irregular because its sides are of different lengths, and the polygon can be described as concave because it is possible to connect two vertices of the polygon with a segment that is not contained in the interior of the polygon.)

A model of an equation is shown above; what is the value of M? (4M-8 = M+1)

M=3

On a major league roster of 25 players, three players have a yearly salary of $15 million each, two players have a yearly salary of $10 million each, and the remaining players have yearly salaries of $1 million each. Which of the following best represents a typical player's yearly salary?

Median (20/25 players make $1 mil)

Mrs. Peters teaches a class with native English speakers and English-language-learners (ELL). She needs to introduce new mathematics terminology for the upcoming instructional unit. Which of the following would be the best strategy for implementing the new terminology?

Mrs. Peters explains each term to the class and then uses the term in a variety of sentences

In which quadrant is the point (−8,2) located?

Quadrant II

In the number 567,894, what is the value of the digit 6 ?

Sixty thousand

Mr. Harris is planning to teach a unit on division to students for the first time. Which of the following would be the best first instructional lesson for Mr. Harris to present to his students?

Solving a division problem using a concrete manipulative

The digit 5 is in what place in the number 3.141593?

Ten-thousandths place

Mrs. McCoy writes two equations on the board for her class. +5 - 5 = 0 -20 + 20 = 0 Which of the following properties of integers is Mrs. McCoy most likely trying to illustrate?

The additive inverse property (-a+a=0, a-a=0)

The rectangular region shown in Figure 1 is cut along the dotted line and reassembled as shown in Figure 2. Which of the following statements about the area and perimeter of Figure 1 and Figure 2 is true?

The area of Figure 1 is greater than the area of Figure 2, and the perimeter of Figure 1 is greater than the perimeter of Figure 2. Since the two figures are composed of exactly the same subparts, their areas are equal. Figure 2 features the hypotenuses of the two triangles, each of which contributes additional length to the perimeter of Figure 2.

2y^2+17x^2+14x^2y+8xy^2+1 Which THREE of the following statements are correct about the algebraic expression shown?

The coefficients are 2, 17, 14, 8, and 1. The variables are x and y. The degree of the expression is 3. (The degrees of the monomials are 2, 2, 3, 3, and 0, so the degree of the expression is 3 and hence option is correct)

15(4+3)=15×4+15×3 The equation shown demonstrates which of the following?

The distributive property of multiplication over addition (for any real numbers a, b, and c, a(b+c) is equal to ab+ac)

Question: 1,2,4 ... The first three terms of a certain sequence are shown. Which of the following mathematical relationships could describe the terms of the sequence? Select all that apply.

The first term is 1. Each subsequent term of the sequence is obtained by multiplying a constant quantity by the preceding term. The first term is 1. Each subsequent term of the sequence is obtained by adding the preceding term and a quantity that increases by 1 with each new term.

7, 9, 10, 11, 14, 15, 15, 15, 17, 18, 18, 20, 26, 26, 27, 28, 30 The list shows the times spent eating lunch for the 17 students in Ms. Begay's class. Which of the following statements about the times must be true? Select all that apply.

The median is 17 minutes. The mean is 18 minutes.

Which of the following scenarios would be the most appropriate situation to estimate?

The number of pizzas needed for a birthday party

A salesperson records data consisting of total sales each day for one year. If the least and greatest total sales values are deleted from the data set, which of the following is most likely true about the effect of the deletion?

The range and mean of the data set will change, but not the median.

Triangular prism

Triangular Prism (The question requires an understanding of three-dimensional geometry. Triangular pyramids and rectangular prisms have four and six faces, respectively. Triangular prisms have five faces: two are triangles, and three are quadrilaterals. Rectangular pyramids also have five faces: one is a rectangle, and four are triangles. Triangular prisms have nine edges, while rectangular pyramids only have eight edges.)

A mathematics teacher noticed the students' performance on the recent assessment of the multiplication introductory unit was much lower than expected. Which of the following strategies could the teacher utilize to help the students understand the concept of multiplication?

Use manipulatives to demonstrate that the product of 3 and 3 is the same as the sum of adding 3 together three times

A fifth grade teacher is beginning a unit on equivalent fractions with her students. If this is an introductory lesson, which of the following activities would be the most effective in helping the students understand the concept of equivalent fractions?

Use pattern blocks to model fractions equivalent to ½ of the hexagon

1/1, 1/2, 1/3, 1/4 (shaded) Which of the following is demonstrated by the figure shown?

When the numerator stays the same and the denominator increases, the fraction decreases.

In a certain number, a and b represent digits, and a represents 10^4 times what b represents. Which of the following could be the place value of a and b?

a is in the tens place, and b is in the thousandths place.

ETS: Which of the following best describes the polygon above:

concave polygon (concave = sides in, convex = sides out)

Bill went to sleep at 9:57 P.M. and awoke the next morning at 6:28 A.M. For how many hours and minutes did he sleep?

d/2

A teacher provides students with a table on the historical populations of the United States during the 19th century, divided by decade. Which of the following would be the most appropriate display for the information?

line graph (best used to identify the change of a variable over time - such as the change in population over the length of a century)

Heewon is filling water bottles for a bicycle race. The number of bottles, n, needed for the race is n=2h+1, where h is the number of hours she expects to be racing. Which of the following statements is true about the variables n and h ?

n is dependent, h is independent

ETS: 5 <(or equal to) 7-p

p<(or equal to) 2

−12x−6 > 4−3x Which of the following is the graph of the solutions to the inequality shown?

x > 4 (white circle) The inequality can be solved by first adding 6 and 3x3x to each side of the inequality and then adding like terms, resulting in 52x>1052x>10. Multiplying each side by 2525 yields x>4x>4. On the number line, this inequality corresponds to a graph of the numbers greater than 4 but not including 4.

If 125+4x=7y125+4x=7y, what is x in terms of y ?

x=(7y−125)÷4x=(7y−125)÷4

−3(x−4)≥9 Which of the following inequalities is equivalent to the inequality shown?

x≤1

Mr. Harris wants to divide a long string of gummy candy into pieces for his class. He folds the gummy candy in half and makes one cut along the end of the folded string, so that he now has three pieces. He asks his students to create an equation so he can find out how many cuts he should make in the candy to have enough for all of the students. Which of the following equations represents the data in the table? (0, 1) (1, 3) (2, 5)

y = 2x + 1

ETS: (4,-20), (7,-38), (12,-68), (15,-86) equation?

y=-6x+4

Which of the following addition sentences represents the model shown (based on picture)

−5+1=−4

Item Cost of Each Package Utensils $1.50 Cups $2.00 Plates $2.00 Tablecloths $4.50 The table shows the costs of supplies for a birthday party. Anton buys 6 packages of utensils, 4 packages of cups, 2 packages of plates, and 2 packages of tablecloths. Anton's total purchase is subject to a 7.5%7 point 5 percent sales tax. How much will the party supplies cost Anton?

$32.25

Rosa left a 20% tip on a restaurant bill of $47.30. What amount did Rosa leave for the tip?

$9.46

The function f(x)=x2+3 is represented by which table of values?

(-2, 7), (-1, 4), (0, 3), (3, 12)

3×2 + 7×2 The expression shown results when the distributive property of multiplication over addition is applied to which of the following expressions?

(3+7) x 2

**Which of the following is the expanded form of 3,056.45?

(3×1,000)+(5×10)+(6×1)+(4×110)+(5×1100)

514%514% is equivalent to which of the following?

0.0525

Which of the following numbers is least?

0.1005

Which list of numbers is ordered from least to greatest?

0.350, 0.35⎯⎯⎯⎯ , 9/25, 2/5

Wai tossed a fair coin 9 times with an outcome of H H T T T T H H H, where H means heads and T means tails. What is the probability that the next toss will be T ?

0.5 (always 0.5)

Which of the following numbers is neither prime nor composite?

1

(2a−a+3) − (−5a+6a+2) Which of the following is equivalent to the expression shown?

1 (a + 3 - a -2)

The figure shows a ruler with inches marked and two line segments drawn. To the nearest eighth of an inch, how much longer, in inches, is the length of AB‾‾‾AB‾ than the length of CD‾‾‾CD‾ ? (3 and 6/8 - 2 and 2/8 approx.)

1 and 3/8

Which of the following lists shows all the factors of 24 ?

1, 2, 3, 4, 6, 8, 12, 24

Tony made 1,500 milliliters of lemonade for a party. Which of the following represents the amount of lemonade, in liters, that Tony made?

1.5 L

ETS: A student plans to simultaneously toss a fair number cube, with faces numbered 1-6, and a fair coin. What is the probability that the cube will land with the face numbered 4 and the coin will land heads up?

1/12

Which of the following is equivalent to 1/4÷1/8 ?

1/4 × 8

If the number 180 is written as the product of its prime factors in the form (a^2)(b^2)(c), what is the numerical value of a + b + c, where c = 5 and a and b do not equal 1?

10

ETS: A 4th grade class started working on math worksheets at 1:30 p.m. and stopped working at 3:10 p.m. How long did the class work on Math worksheets?

100 minutes

What is the area, in square inches, of the polygon shown?

1080 (one foot is equivalent to 12 inches and 1 yard is equivalent to 3 feet. The lengths, in inches, of the labeled sides in the polygon are 36 inches, 18 inches, 18 inches, and 24 inches. The polygon can be decomposed into two rectangles: one having a length of 36 inches and a width of 18 inches, and the other having a length of 24 inches and a width of 18 inches. The first has an area of 36×1836×18, or 648 square inches, and the second has an area of 24×1824×18, or 432 square inches. The area of the polygon is the sum of the areas of these two rectangles, which equals 648+432648+432, or 1,080 square inches.)

Elisa's number: 5,723,683 Troy's number: 2,678,533 Both Elisa and Troy wrote a number, as shown. The digit 7 in Elisa's number represents how many times what the digit 7 represents in Troy's number?

10x more

ETS: Jack had 3 babysitting jobs this week. He worked the same number of hours H on each job. He was payed ($12/hr) at job 1, $4 per half hr at job 2, and $5 per 20 mins at job 3. Which of the following expressions could be used to find the total amount that Jack earned?

12H + 8H + 15H

A class is learning about ratios and percentages. The teacher tells the class that at last Friday night's football game there were between 800 and 1000 people. Of those at the football game, about 13-17 percent of the people had blonde hair. Which of the following is the most reasonable estimate of the number of people at the football game with blonde hair?

135 (btw 120 and 150)

When Bob eats a sandwich, Bob always eats only half of his sandwich at lunch and saves the other half for a snack later in the day. If Bob eats a sandwich for 15 days in a row, what is the number of full sandwiches Bob ate during lunch in those 15 days? Which of the following equations should a student use to solve the problem?

15 * (1/2)

A pencil is 18 centimeters in length. How long is the pencil in millimeters?

180 (1 cm = 10 mm)

ETS: The only prime factors of a certain number are 2, 3 and 7. Which of the following could be the number?

18x28 (504)

ETS: In the expression 4x^2 + 7, what is the degree of 4x^2?

2

8+24÷4×(6−4)8+24÷4×(6−4) Which of the following is equivalent to the expression shown?

20 (pemdas)

3y+2y3y+2y What is the value of the algebraic expression shown when y=5y=5 ?

25

25x^2 + 6y^3 + 4x − 25y +3x^2 −4y^2

25x^2 and 3x^2

Which of the following is equal to 4(5−2)2−234(5−2)2−23 ?

28 (PEMDAS)

Which of the following are equivalent to dividing 288 by 24 ? Select all that apply.

288/4/6, 2 (144/24), (240/24) + (48/24)

What is the prime factorization of 180 ?

2^2 × 3^2 × 5

(x−2)(y+1) + (y−1)(x−2) Which of the following expressions is equivalent to the expression shown?

2y(x-2)

A pancake recipe requires 1 tablespoon of baking powder per 2 cups of flour. If 2 cups of flour make 4 pancakes, how many tablespoons of baking powder are needed to make 12 pancakes?

3 tblspn

Which of the following pairs of numbers estimates the number 3.274613 point 2 7 4 6 1 to the nearest tenth and to the nearest thousandth, respectively?

3.3 and 3.275

30M+15R=90030M+15R=900 In a certain year, Rodney earned a total of $900 mowing lawns and raking leaves for his neighbors. He received $30 for each lawn he mowed and $15 for each job raking leaves he had. In the formula above, M represents the number of lawns Rodney mowed for his neighbors and R represents the number of jobs raking leaves he had during the year. If Rodney mowed 15 lawns that year, how many jobs raking leaves did he have?

30 leaves jobs

8a−3b What is the value of the expression shown when a=2 and b=−5?

31

ETS: To make fruit punch, Edie mixes two kinds of juices in the following ratio: 1 cup of blueberry to 3 cups of red raspberry..how many cups of red raspberry does Edie need to make 48 cups of fruit punch?

36

Which of the following is an algebraic equation?

3x−5=2

A family of 5 consumes 1212 gallon of milk a day. How many 1-gallon jugs of milk must the family buy to have enough milk for a week?

4 jugs

xx f(x) 100 60 24 45 18 30 12 Some values of the linear function f(x) are given in the table shown. What is the value of f(100) ?

40

ETS: After a lesson on rounding and estimation, a teacher tells students that a cook has made 157 sandwiches for 4 lunch periods. The teacher asks the students to estimate the average number of sandwiches that will be served in each lunch period. Which of the following students correctly estimated the answer?

40 (not 39.25, we are estimating and talking about WHOLE sandwiches)

Activity Time Dance class 15 minutes Running 8 minutes Walking 20 minutes The table shows the time it takes Larissa to burn 100 calories while performing each of three activities. Larissa's workout routine includes a 30-minute dance class, 10 minutes of running, and 15 minutes of walking. How many calories did Larissa burn to complete her workout?

400 30-minute dance class would burn 100×2 = 200 calories; 10 minutes of the running would burn 100/8 × 10, or 125 calories; and 15 minutes of walking would burn 100/20 × 15, or 75 calories. Therefore, Larissa burned a total of 200+125+75, or 400 calories

ETS: Riding on a school bus are 20 9th graders, 10 10th graders, 9 11th graders, and 7 12th graders - what percent are 9th graders?

43%

If the geometric sequence below continues to increase in the same way, what is the next number in the sequence? 2, 6, 18, 54, 162, ...

486

What is the degree ofthe monomial 3x^2 y^3 = 3xxyyy?

5

Color Probability Red 1/3 Blue x Green 1/6 Yellow 1/12 A spinner is divided into 12 congruent sections. Each section is either red, blue, green, or yellow. The table shows the theoretical probability of landing on a color when spinning the spinner once. How many sections are blue?

5 sections are blue

ETS: What is the area in sq. units of the figure above?

52 = (4x10) + (4x6)/2 =

In a certain year, 5 percent of the 2,800 employees of a company had a perfect attendance record. Which of the following computations can be used to determine the number of employees with a perfect attendance record?

1/20×2,800

A wholesale nut company makes 10-pound and 25-pound bags of trail mix. For the 10-pound bag, the company uses 3 pounds of raisins, and the rest is nuts. If the proportion of raisins to nuts is the same in the 25-pound bag as in the 10-pound bag, how many pounds of nuts does the company need for the 25-pound bag?

17.5 = (7/10 of 25)

*Which of the following expresses 3/16 as a percent?

18.75% = (3/16) x 100

At a yard sale, Tenille sold drinking glasses for $2.00 each and plates for $3.50 each. Nicholas spent a total of $18.00 on drinking glasses and plates at Tenille's yard sale. If Nicholas bought at least one glass and one plate, how many drinking glasses did he buy?

2 glasses

All of the following equations, when simplified, equal the same value except one. Which of the following equations, when simplified, is NOT equal to the other equations?

2(40 * .2) + 5(.4 * (1/4) ) = 2(8) + 5(.1) = 16 + .5 = 16.5 (not negative 16.5)

Which of the following is the product of two even numbers and an odd number, each of which is greater than 1 ?

20 = (2x2x5)

Which expression best represents y in terms of x? (1, -1) (2, -3), (3,-5)

y=1-2x

Which of the following equations is written in slope-intercept form?

y=3x+5 (y=mx+b)

Item Price Cheese $1.63 Milk $1.19 Juice $1.99 Cereal $1.19 Bread $0.89 Butter $1.39 A shopper purchases one of each of the items in the list above at the prices indicated. Which of the following is closest to the change the shopper would receive after paying with a $20 bill? (Assume there is no sales tax.)

$12 (from $11.72)

Which of the following requires the most advanced understanding of relationships between arithmetic operations?

(4 * 3) + (4 * 3 - 2) = (12) + (12 - 2) = 22 (the others only used addition and subtraction)

Which of the following points on a number line is the greatest distance from .5?

-1.5

2, 3, a3 , a4 , a5 , ... The first two terms of the sequence shown are 2 and 3. Each subsequent term, beginning with the third, is found by adding the two preceding terms and multiplying the sum by −2. What is the value of a5, the fifth term of the sequence?

-8

Which of the following lists all the factors of a composite number?

1, 5,

What is the digit in the hundreds place in the product of 63 * 31?

1953 (answer is 9)

If the pattern above is continued, how many blocks will be in the 7th term?

36 (1, 3...2, 6...3, 10)

If the perimeter of each of the seven regular hexagons in the figure shown is 18, what is the perimeter of the figure?

54

A gas pump can pump a quarter gallon of gas every five seconds. If a person is filling up an empty gas tank that can hold 18 gallons of gas, how long will it take the gas pump to fill the empty gas tank?

6 minutes

A runner is running a 10k race. The runner completes 30% of the race in 20 minutes. If the runner continues at the same pace, how long will it take to complete the race?

67 minutes

Mr. Andrews is in a city whose street grid can be represented by a coordinate plane. Mr. Andrews wants to walk from his current location at a local barbershop, represented on the coordinate plane as (1, 2), to his apartment. Mr. Andrews walks 5 blocks east, or to the right, and 1 block south, or down. Which of the following ordered pairs correctly depicts the location of Mr. Andrews' apartment?

(6,1)

Which of the following is an example of the associative property of multiplication?

(ab)c = a(bc)

x y −10 −5 −5 0 5 10 10 15 Which of the following graphs best represents the relationship between x and y in the table shown?

(read the graph)

Tom wants to mentally calculate a twenty percent tip on his bill of $40. Which of the following is best for Tom to use in the mental calculation of $40?

.1 * 2 (10% x 2 = 20%)

30 - 2 * 50 + 70

0

What is the degree of the monomial 66?

0 (no variables)

The population of a certain city was 50,000 people. One year later, the population of the same city grew to 50,600. What was the percent increase in the city's population in that one-year period?

1.2%

The state sales tax is 7.5%. Which number could also represent 7.5%?

3/40

What is the greatest odd factor of the number 2,112 ?

33

chicken chicken spaghetti chicken pizza pizza tacos chicken pizza pizza pizza tacos spaghetti tacos spaghetti tacos tacos spaghetti tacos tacos A teacher asked 20 students to name their favorite school lunch. The students' responses are shown in the table. The teacher then asked the students to organize and display the data in a bar graph. Which bar graph correctly displays the data?

4 chicken, 5 pizza, 7 taco, 4 spaghetti

Kyle's father set up a savings account for him with an initial balance of $100. Since then, Kyle has been depositing $28 into the account each week. Kyle represents the amount of money he has saved after x weeks by the expression 28x+10028x+100. Which of the following is equivalent to Kyle's expression?

4(7x+25)

Mrs. Keller writes down the following numbers on the board: 4, 2, 6, 8, 9, 1, 3 She instructs her students to write down the smallest number possible with the 8 in the thousands place and the 1 in the tens place. Which of the following would be the correct answer?

4,968,312

What is the median of the data? 15, 18, 19, 54, 74, 94, 67, 82, 48, 31, 15

48 (11 values and 6th is 48)

Which of the following is equal to 5(10^0)?

5 (because 10^0 = 1)

Tom's company has to ship 1,944 boxes of shoes. If a truck can hold 450 boxes, how many trucks does he need to ship all the boxes?

5 boxes

On Greg's map, 1 inch represents 30 miles, and on Lori's map, 1 inch represents 20 miles. The area of a 1-inch by 1-inch square represents how many more square miles on Greg's map than on Lori's map?

500 mi

What is the mean of the data? 15, 18, 19, 54, 74, 94, 67, 82, 48, 31, 15

517 / 11 = 47

The west wall of a square room has a length of 13 feet. What is the perimeter of the room?

52 ft (13 x 4)

Which of the following has the greatest value?

53 hundreds

4/16 - 1/8 = 3/8 10/13 - 3/8 = 7/5 3/5 - 2/3 = ½ If the student continues making the same error, the student's most likely answer to the problem 9/16 - 3/4 would be?

6/12

In the formula d=r×td=r×t, if d equals 60 and t remains constant, which of the following is equivalent to r ?

60/t

Week Customers 1 52 2 79 3 44 4 110 5 90 6 68 7 125 8 96 9 88 Bobby runs a small store. The total number of customers who shopped at the store during each of nine consecutive weeks is recorded in the chart shown. If the number of customers who shopped at the store during the tenth week were included in the data, the mean and median of the data would change but the range would not change. Which of the following could be the number of customers who shopped at the store during the tenth week?

73

A small company employs 19 hourly wage workers. The hourly wage range is from $10 to $25 per hour. If three workers earn the median wage of $13.50 per hour, how many workers earn more than $13.50 per hour?

8 (if 3 workers earn media wage, than remaining 16 are split, meaning that 8 earn less than $13.50, and 8 earn more)

Bill went to the store to purchase new clothes for the upcoming school year. Bill purchased 8 shirts, 4 pairs of shorts, and 2 pairs of pants. If a single outfit consists of one shirt and either one pair of shorts or one pair of pants, how many outfits can Bill create with the clothes he purchased?

8 * (4+2) = 48

Mrs. Campbell is teaching a lesson on slope-intercept form. She requires each student to create a formula that represents a graph he finds visually interesting. Once each student creates a formula, she has the student present and explain his equation and graph to the class. Which of the following learning theories best matches the activity Mrs. Campbell uses with her students?

Constructivist Learning Theory (proposes that students learn by combining knowledge and meaning through interactions with experiences and ideas)

A student walks into class and tells the teacher that a local candy store had a "buy one candy bar get one candy bar free" promotion this weekend. The teacher asks the student how many candy bars she purchased, but the student was only able to remember how many candy bars she received. The teacher uses this opportunity to create a word problem for the class. She asks the class to create an equation that would help the student find out how many candy bars a person would receive (r) if for any candy bar they purchased (p), they received one candy bar for free. One student, Sally, says the equation would be 2p + 1 = r. Which of the following activities would best help Sally recognize the error in her answer?

Create a function table (will show the relationship between pairs and show a model of the equation)

In the figure shown, quadrilateral ABFG is a square and quadrilateral FCDE is a rectangle. Which of the following statements must be true about the figure? Select all that apply.

G lies on the x-axis. D is in the fourth quadrant. The area of the polygon ABCDEFG is 27 square units.

Mrs. Johnson lets her students choose between two word problems: Problem A: If you are digging for dinosaurs and need to fence off your dig site, what's the biggest site you can fence off with 40 ft. of fence? Problem B: What is the largest area you can create with 20 inches of rope? Mrs. Johnson finds a significant majority of her students chose to work Problem A. Which of the following is the most likely reason more students chose Problem A instead of Problem B?

Problem B is less interesting than Problem A

Mr. Barns wants to demonstrate socioeconomic diversity in his mathematics class. Which of the following activities would best allow Mr. Barns to demonstrate socioeconomics diversity for his students?

Requiring students to create household budgets based on various income levels

Which of the following statements can be inferred from the graph shown? Select all that apply. (exports)

The country that had the greatest yearly exports to the United States for each of the years shown had a three-year export total between $11 billion and $12 billion. The exports from Country A to the United States more than doubled from 1995 to 1997.

A teacher tells the students the mode of the scores on the most recent exam was 85. Which of the following is the most accurate interpretation of the result?

The most common score on the test is 85 percent

15 x 19 ------- 135 25 ------- 385 A student is working through a double-digit multiplication problem and turns in the work pictured above. Which of the following best describes the student's error?

The student carried over the hundreds value from the 9 and 15 multiplication (should add 135 and 150, NOT 135 and 250)

A teacher wants to help her students understand the rule of the order of operations. The student simplified the following expression: 3 * (8 - 2) + 6 (24 - 2) + 6 22 + 6 28

The student multiplied before simplifying the operation within the parentheses

Which of the following is equivalent to the inequality: 5 > X - 1

X < 6

Use the table to answer the question: X Y 1 -2 3 4 5 10 9 22 Which of the following equations correctly models the relationship in the table?

Y = 3X - 5

What equation describes the linear relationship shown in the table? X 2 6 9 12 Y 7 19 28 37

Y = 3x + 1

The community pool has a capacity of 50,000 gallons. It is leaking at a rate of 450 gallons per day. The equation g = 50,000 - 450d can be used to find the number of gallons g remaining in the pool after d days. Which of the following statements is true?

g is the dependent variable because the volume is dependent on the number of days d.

A heat wave began at 6:10 a.m. on a Tuesday morning. The temperatures were recorded by Mr. Davis' class. Mr. Davis asked his students to create an equation that represented the rise in temperature and would use x to represent the hours. Time 6:10 a.m. 8:10 a.m. 10:10 a.m. 12:10 p.m. 2:10 p.m. Temperature 70 76 82 88 94

y=3x+70

Which of the following does not pass through quadrants III and IV

y=x^2