Math Praxis Test

90, 90, 95, 90, 85, 90 Caleb's scores for the first 6 quizzes in his algebra class are shown above. If he receives a score of 95 on the 7th quiz, which of the following statements will be true? A.The average (arithmetic mean) of the 7 quiz scores is less than the average of the first 6 quiz scores. B.The mode of the 7 quiz scores is greater than the mode of the first 6 quiz scores. C.The median of the 7 quiz scores is equal to the median of the first 6 quiz scores. D.The range of the 7 quiz scores is greater than the range of the first 6 quiz scores.

C.The median of the 7 quiz scores is equal to the median of the first 6 quiz scores.

A unit square is partitioned into identical parts having equal areas. One of the parts is removed from the square, and a shape is formed by the parts that remain after the removal. For which of the following areas of the removed part will the shape that is formed have the greatest area? A.1/4 B.1/5 C.1/6 D.1/7

D. 1/7

Which of the following expressions is equivalent to −4(3−2x) ? A.−2x−12 B.2x−12 C.−8x−12 D.8x−12

D.8x−12

What is the least common multiple of 12, 20, and 30? A. 2 B. 60 C.240 D.360

B. 60

A window's size is 8 feet by 4 feet. Which of the following units is most appropriate to use to convert the dimensions to metric units? A.Kilometers B.Meters C.Millimeters D.Nanometers

B.Meters Option (B) is correct. The question requires an understanding of relative sizes of United States customary units and metric units. Since 1 meter is approximately 3.28 feet, meters are the most appropriate unit to use to convert 8 feet and 4 feet to metric units.

(0×10^4)+(4×10^3)+(0×10^2)+(5×10^1)+(2×10^0) What number is represented by the base-10 expression shown?

4052 Correct Answer: 4052 The correct answer is 4,052. The question requires an understanding of how to write numbers using base-10 numerals, number names, and expanded form.

Mary has a rectangular garden in her backyard. The garden measures 5 3/4 feet wide by 7 1/2 feet long. What is the area of the garden? A.26 1/2 square feet B.35 3/8 square feet C.36 1/8 square feet D.43 1/8 square feet

43 1/8 Square Feet

Lilly, Madelyn, Natalie, and Olivia each walked from their houses to the mall. Lilly walked 1/4 mile, Madelyn walked 3/8 mile, Natalie walked 5/6 mile, and Olivia walked 7/12 mile. Which list shows these distances in order from least to greatest?

B.1/4 mi, 3/8 mi, 7/12 mi, 5/6 mi

Which of the following inequalities is equivalent to the inequality 4x+4≤9x+84x+4≤9x+8? A.x≥−45x≥−45 B.x≤−45 C.x≥−125 D.x≤−125

A.x≥−45

f r is a real number, which of the following illustrates the commutative property of multiplication? A.(32)(r)=(3)(2r)( B.(32)(r)=(r)(32) C.(32)(r)=(30)(r)+(2)(r) D.(32)(r)=(32)(r)(1)

B. (32)(r)=(r)(32) Option (B) is correct. The question requires an understanding of how to identify properties of operations. The commutative property of multiplication states that given any two numbers A and B, A×B=B×A; that is, the order of the factors in a multiplication problem does not affect the product.

If y=2, what is the value of 4−2(4y)+5y? A.−22 B. −2 C. 22 D. 26

B. -2 Correct Answer: B Option (B) is correct. The question requires an understanding of how to evaluate simple algebraic expressions. The first step is to substitute 2 in place of the variable y, which yields the arithmetic expression 4−2(4×2)+5×2. Using the order of operations, 4−2(4×2)+5×2= 4−2×8+10=4−16+10=−2

Two friends went out for lunch and decided to share the dessert. One of them ate 1/2 of the dessert, and the other ate 1/3 of the remaining part. What fraction of the dessert was left over? A.1/6 B.1/3 C.2/3 D.5/6

B. 1/3

At a flower shop, there are 5 different kinds of flowers: tulips, lilies, daisies, carnations, and roses. There are also 3 different colors of vases to hold the flowers: blue, green, and pink. If one kind of flower and one color of vase to hold them are to be selected at random, what is the probability that the selection will be lilies held in a pink vase? A. 2/8 B.2/15 C. 1/8 D.1/15

D. 1/15

What is the prime factorization of 3,780? A.2×5×6×7×9 B.3×4×5×7×9 C.2×3×6×7×15 D.2×2×3×3×3×5×7

D.2×2×3×3×3×5×7 Option (D) is correct. The question requires an understanding of how to identify and use prime and composite numbers. The prime factorization of a number is that number written as a product of its prime factors. The prime factors of 3,780 are 2, 3, 5, and 7, and 3,780 = 2×2×3×3×3×5×7

0.7 is 1/1,000 of what number? A. 0.0007 B. 0.007 C. 70 D.700

D.700 Option (D) is correct. The question requires an understanding of place value by recognizing that a digit in one place represents ten times what it represents in the place to its right and one-tenth of what it represents in the place to its left and the ability to extend this concept several places to the right or left. If 0.7 is 11,00011,000 of a number n, then 0.7= 1/1,000n. Therefore, n=0.7×1,000 Working backward, one can also observe that the decimal point moves three places to the left when finding one-thousandth of a number.

4x(3x+2y) What does 2y represent in the expression shown? A.A binomial B.A factor C.A coefficient D.A monomial

D.A monomial Option (D) is correct. The question requires an understanding of how to use mathematical terms to identify parts of expressions and describe expressions. A monomial is an algebraic expression that consists of one term that is a number, a variable, or a product of a number and a variable, where all exponents are whole numbers.

The surface area of a cube is 54 in2 What is the volume of the cube? A. 27 in3 B. 54 in3 C. 81 in3 D.108 in3

a. 27in 3 Option (A) is correct. The question requires an understanding of how to solve problems involving elapsed time, money, length, volume, and mass. If the length of the side of the cube is s in, then its surface area is 6s2 in2. Since the surface area is 54 in2, then the length of the side of the cube, in inches, can be found by solving the equation 6s2=54, which yields s=3. The volume of the cube can then be found by solving the equation V=s3, thus V=33. Therefore the volume is 27 in3.

Answer the question below by clicking on the correct response. Question: The first three figures in a pattern are shown. The 1st figure is composed of two triangles and one square. Each figure after the 1st figure is composed of two triangles and one square more than the preceding figure. How many line segments are in the 10th figure of the pattern? A.35 B.38 C.41 D.44

a. 35

The cost to rent a bus for a field trip is $34.25 per hour, and the duration of the trip is 4 hours and 45 minutes. Which of the following expressions is best for doing a mental calculation to closely estimate the total cost, in dollars, of renting the bus for the trip? A.34×5 B.34×4.75 C.34.25×4.75 D.35×5

A. 34x5 Option (A) is correct. The question requires an understanding of how to use mental math, estimation, and rounding strategies to solve problems and determine reasonableness of results. The total cost of the trip can be calculated by multiplying the hourly rate by trip duration, in hours. The cost of the bus per hour is best estimated as $34, and the duration of the trip is best estimated as 5 hours. Therefore, the best expression to estimate the total cost using a mental calculation is 34×534×5.

Which word describes each angle in an equilateral triangle? A.Acute B.Obtuse C.Right D.Straight

A. Acute angle

Carlos makes an annual salary of $65,295. Which of the following is Carlos' salary rounded to the nearest thousand? A.$65,000 B.$65,300 C.$66,000 D.$70,000

A.$65,000

In a bag there are 28 candies, of which 17 are peppermints and the rest are caramel chews. What is the ratio of the number of caramel chews to the number of peppermints in the bag? A.11:17 B.17:11 C.17:28 D.28:17

A.11:17

(2x+5x−2)−(x+y−3y−5x+2) Which of the following is equivalent to the expression shown? A.11x+2y−4 B.3x−2y−4 C.11x−2y D.x−2y

A.11x+2y−4

Which of the following is an algebraic expression? A.6x−4 B.6y<4 C.6z=4 D.6+4

A.6x−4

A certain polygon has the following attributes: There are 2 pairs of parallel sides. It is a quadrilateral. One pair of parallel sides has length 2, and the other pair of parallel sides has length 4. Which of the following types of polygons has all of the attributes listed? A.Parallelogram B.Rhombus C.Triangle D.Square

A.Parallelogram Option (A) is correct. The question requires an understanding of how to use attributes to classify or draw polygons and solids. A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with two pairs of parallel sides. A rhombus is a parallelogram with all sides of the same length. A square is a rhombus with at least one right angle. For attributes 1 and 2, the polygon is not a triangle. For attribute 3, the polygon is neither a rhombus nor a square. Therefore, the polygon must be a parallelogram.

Which of the following is a statistical question? Select all that apply. A.What is the daily high temperature for an August day in Cheyenne, Wyoming? B.How many speeches did George Washington make during his life? C.How many minutes did Hannah spend talking on her phone on August 28, 2016 ? D.What was the average number of miles a week run by the members of the Hereford High School cross-country team last month?

A.What is the daily high temperature for an August day in Cheyenne, Wyoming? D.What was the average number of miles a week run by the members of the Hereford High School cross-country team last month? Options (A) and (D) are correct. The question requires an understanding of how to identify statistical questions. A statistical question is one that can be answered by collecting data and where there will be variability in the data collected. To answer the question in (A), one must collect the daily high temperature for each day in August. Such values will vary. To answer the question in (D), one must collect the number of miles a week run by each of the members of the team during the past month. Such values will vary. The questions in (B) and (C) can be answered simply by counting.

3 less than 4 times the sum of the number x and 15 Which of the following expressions best represents the verbal phrase shown? A.4x+15−3 B.3−4x+15 C.4(x+15)−3 D.3−4(x+15)

C. 4(x+15)−3 Option (C) is correct. The question requires an understanding of how to translate between verbal statements and algebraic expressions or equations. The product of a number and a sum requires parentheses around the sum. Therefore, "4 times the sum of the number x and 15" can be represented by the expression 4(x+15. "Less than" can be translated as subtraction, where what comes before "less than" is taken away from what comes after it. Therefore, the verbal phrase can be represented by the expression 4(x+15)−3.

a=5,000(1+r) The formula shown can be used to find the amount of money in dollars, a, in an account at the end of one year when $5,000 is invested at simple annual interest rate r for the year. Which of the following represents the independent variable in the formula? A.a B.5,000 C.r D.1+r

C. r Option (C) is correct. The question requires an understanding of how to differentiate between dependent and independent variables in formulas. In the given formula, there are two variables, a and r. The formula can be used to investigate how the amount of money a varies depending on the interest rate r. Therefore, the dependent variable is a and the independent variable is r.

A machine that works at a constant rate processes 18 pounds of fruit every 3 hours. At this rate, how many hours does it take the machine to process 72 pounds of fruit? A. 4 B.10 C.12 D.15

C.12

At an apple orchard, between 280 and 300 bushels of apples are picked each day during peak harvest season. There are between 42 and 48 pounds of apples in each bushel. Which of the following could be the number of pounds of apples picked at the orchard in one day during peak harvest season? A. 9,000 B.11,000 C.13,000 D.15,000

C.13,000

The formula V=IR relates the voltage V, in volts, to the current I, in amps, and the resistance R, in ohms, in a circuit. What is the current produced by a 9-volt battery in a circuit with 4 ohms of resistance? A.1.50 amps B.2.00 amps C.2.25 amps D.2.50 amps

C.2.25 amps Option (C) is correct. The question requires an understanding of how to use formulas to determine unknown quantities. Since V=9 volts and R=ohms, I=V R=9/4=2.25

A painter used 1 1/21 cans of paint to paint 2/3 of a room. At this rate, how much more paint does the painter need to paint the remainder of the room? A.1/3 can B.1/2 can C.3/4 can D.1 can

C.3/4 can

1 tablespoon =1/16cup 1 teaspoon =1/3 tablespoon 1 fluid ounce =2 tablespoons Each row of the table shows equivalent measurements. Based on the equivalent measurements, which of the following quantities is greatest? A.12 tablespoons B.7/8cup C.8 fluid ounces D.45 teaspoons

C.8 fluid ounces Option (C) is correct. The question requires an understanding of how to convert units within the U.S. customary system. To answer the question, one can convert all measurements to the same unit, for example, tablespoons. The quantity in (A) is already 12 tablespoons. The quantity in (B) is 7/8 cup, which is equivalent to 7/8×16 or 14 tablespoons. The quantity in (C) is 8 fluid ounces, which is equivalent to 8×2, or 16 tablespoons. Lastly, the quantity in (D) is 45 teaspoons, which is equivalent to 45× 1/3, or 15 tablespoons

Which of the following graphs represents the solution set to the inequality 18b−5<20b+11?

Draw the solution set

r=5b In a flower shop, there are 5 roses in every bouquet. The equation shown gives the number of roses r used to make b bouquets. Select the appropriate choices to correctly complete each sentence:

b is the independent variable r is the dependent variable Options (B) and (A) are correct. The question requires an understanding of how to differentiate between dependent and independent variables in formulas. In the given formula, there are two variables, b and r. Since the formula investigates how the number of roses r used increases depending on the number of bouquets b, the dependent variable is r and the independent variable is b. DrY mIX