Pre-algebra - Unit 11: Course Review and Exam

Which of the following is the best estimate for -2 1/4 · 7.89 + 13/3 ÷ (-4.17)?

-17

Solve the equation x + 3 = -6. -2 -3 2 -9

-9

Which of the following statements describe this sequence: 3, 6, 9, 12...? I. This is an arithmetic sequence. II. The expression used to find the nth term would be 3n. III. The next term in the sequence is 36. IV. The common ratio for this sequence is 3. I and II I, II, III, and IV I, II, and IV II and IV

I and II

Which of the following statements describe this sequence: 1, 3, 9, 27, ...? I. This is an arithmetic sequence. II. The common ratio for this sequence is 3. III. The next term in the sequence is 54. IV. The sequence can be described by the expression n + 3. I and IV I, II, and III I and II II

II

All of the following statements are true except _____. Zero is a whole number. Negative 8.25 is a rational number. Negative one is a natural number. Four is an integer.

Negative one is a natural number.

Classify the different types of quadrilaterals. Be sure to place an answer in each box. Use the clues in the boxes to help you place the correct quadrilateral in the correct box.

Quadrilaterals Trapezoid Parallelogram Rectangle Rhombus Square

The mean of a set of numbers is 8, and the mode is 9. Which of the following sets of numbers do these values describe? 3, 7, 9, 9, 10, 14 1, 5, 8, 10, 11, 13 4, 6, 8, 9, 9, 12 3, 5, 7, 9, 12, 12

4, 6, 8, 9, 9, 12

Twelve more than the product of a number and four is fewer than 60. Write the above sentence as an algebraic inequality.

4x+12<60

The scale of a map is 1 inch to 15 miles. It is about 75 miles between two cities. How many inches should separate the cities on the map? 3 inches 4 inches 5 inches 6 inches

5 inches

It takes Anya 2 hours and 30 minutes to drive the 125 miles to her Grandma's house. If Anya drives at a constant speed the entire time, how fast does she go? [Hint: Use the formula d = rt.] 50 mph 54 mph 63 mph 42 mph

50 mph

Solve n/3 + (-4) = -2. 6 -18 18 -2

6

If the area of a circle is approximately 113 square yards, about how long is the radius? (Use 3.14 for π.) 6 yards 12 yards 18 yards 36 yards

6 yards

What is the number six million, thirty thousand, expressed in scientific notation? 6.03 × 106 6.3 × 105 6.3 × 106 6.03 × 104

6.03 × 106

What is the least common multiple of 6, 9, and 15? 3 90 810 30

90

What is the volume of a rectangular crate that has dimensions 8 inches by 8 inches by 1 1/4 feet? 80 in.^3 1,024 in.^3 960 in.^3 31 in.^3

960 in.^3

How many possibilities are there if you must create a 4-digit password using the digits 0 through 5? You may repeat numbers. 1,296 625 360 24

1,296

What is the volume of a rectangular crate that has dimensions 9 inches by 9 inches by 1 1/2 feet? 1,458 in.^3 121.5 in.^3 1,012.5 in.^3 36 in.^3

1,458 in.^3

Haley read five more than half as many books as her brother did last summer. Haley read seven books. Which equation could you use to find how many books (b) her brother read? 2b- 5 = 7 1/2 b+ 7 = 5 1/2 b+ 5 = 7 1/2 (7) + 5 =b

1/2b+ 5 = 7

How many whole sandwiches can be made with 2 pounds of cheese if each sandwich has 3 ounces of cheese on it? 10 11 6 5

10

If a = m^ 2 + 2, what is the value of a when m = -3? -7 -4 8 11

11

Jared gets paid $7.15 an hour to help at his dad's shop. He also mows his neighbor's lawn each week for $20. Jared earned $167.25 in the last three weeks. How many hours did Jared work at his dad's shop in those three weeks? 32 hours 3 hours 15 hours 20 1/2hours

15 hours

If the circumference of a circle is approximately 113 yards, about how long is the radius? (Use 3.14 for π .) 57 yards 36 yards 18 yards 6 yards

18 yards

Which of the following statements is true? |-14| < |14| 20^0= 1 4.1 × 10^-3≥ 0.041 sqrt 20< 4

20^0= 1

If a car is driving at a constant speed of 40 mph, how long will it take the car to travel 130 miles? [Hint: Use the formula d = rt.] 3 hours 3 hours, 15 minutes 3 hours, 30 minutes 3 hours, 45 minutes

3 hours, 15 minutes

What is the number three thousand eighty expressed in scientific notation? 3.08 × 10^3 3.8 × 10^2 3.08 × 10^2 3.8 × 10^3

3.08 × 10^3

Which of the following numbers could be used as a common denominator for adding the fractions 2/63, -4/35, and 8/21? 105 63 315 7

315

Tyler's age is three less than his brother's age. The sum of their ages is 11. How old is Tyler? 14 7 4 2

4

The mean of a set of six numbers is 8, and the median is 9. Five of the numbers are 1, 5, 10, 11, and 13. What is the sixth number? 6 7 8 9

8

There are 18 students in Mario's class. Mario's teacher is planning to separate the class into groups of three. How many different combinations of groups are possible? 54 4,896 6 816

816

How many whole sandwiches can be made with 3 pounds of turkey if each sandwich has 5 ounces of turkey on it? 4 6 9 10

9

Tyler is three-fourths of his brother's age. The sum of their ages is 21. How old is Tyler? 9 12 16 28

9

What would you do to solve the equation -3n + (-4) = 5? Add 4, then divide by -3. Subtract 4, then divide by -3. Multiply by -3, then add 4. Divide by -3, then subtract 4.

Add 4, then divide by -3.

All of the following statements are true except _____. All squares are rhombuses. A parallelogram has two pairs of parallel sides. No rectangles are trapezoids. All parallelograms are rectangles.

All parallelograms are rectangles.

tudents in Briana's reading class are required to read one of three novels for their next project. The teacher wants to make a graph showing how many students chose each novel. The best choice of graph for the teacher to use is a .

Bar Graph

The area of a parallelogram is 36 cm^2. The height of the parallelogram is 3 centimeters. How long is the base?

Base = 12 centimeters

The area of a person's yard can be measured in cubic feet. True False

False

The slope of the line that goes through the points (0, 4) and (1, 2) is -1/2. True False

False

The slope of the line that goes through the points (0, -4) and (-1, 2) is -6. True False

True

Which of the following units would be the most appropriate unit to measure the length of a car? cubic feet inches millimeters square yards

inches

To solve the equation x - 3 = -2, you would _____ 3 on both sides of the equation.

add

If the sum of two angles is 90°, then the two angles are ___.

complementary

To solve the equation -4m = 8, you would _____ -4 on both sides of the equation.

divide by

If all the dimensions of a cube are doubled, then the new volume is _____ times greater.

eight

If the dimensions of a parallelogram are doubled, then the new area is ____ times greater.

four

Students in Mrs. Tram's science class are making graphs to show how the temperature changes throughout the day. The best choice of graph for the students to use is a ___.

line graph

To solve the equation 1/4 a = 12, you would _________ 4 on both sides of the equation.

multiply by

If the sum of two angles is 180°, then the two angles are .

supplementary

Find the solution to the equation -2(x + 5) = -16.

x = 3

A car salesman earns a 20% commission on every car that he sells. Approximately what commission would he make if he sold a car for $9,895? $500 $1,000 $1,500 $2,000

$2,000

An 8-oz bottle of ketchup costs $1.39. If the unit rate stays the same, how much should a 14-oz bottle cost? $0.79 $2.43 $2.78 $1.45

$2.43

A 10-oz bottle of ketchup costs $1.59. If the unit rate stays the same, how much should a 16-oz bottle cost? $0.99 $1.06 $2.80 $2.54

$2.54

At a restaurant, your family wants to tip the server 15%. The bill is $29.85. Approximately how much should the tip be? $3.00 $4.50 $6.00 $7.50

$4.50

What are the coordinates of the midpoint between (3, -7) and (-5, 2)? (-2, -5) (-1, -2.5) (-4, -4.5) (1, 2.5)

(-1, -2.5)

What are the coordinates of the midpoint between (3, -5) and (-7, 2)? (-5, -3.5) (-4, -3) (-2, -1.5) (10, -7)

(-2, -1.5)

What is the value of b 3 - c 2, when b = -2 and c = 3? -12 -17 1 -15

-17

Which of the following is the best estimate for -9.79 ÷ 1 4/5 - 1.35 · 10/3? -8 -2 -18 -13

-8

How many possibilities are there if you are creating a 4-digit password using the digits 0 through 9? You may repeat numbers. 40 6,561 5,040 10,000

10,000

Darian gets paid $6.35 an hour to help out at his dad's shop. He also mows his neighbor's lawn each week for $25. He earned $119.85 in the last two weeks. How many hours did Darian work at his dad's shop in those two weeks? 11 hours 15 hours 5 1/2hours 19 hours

11 hours

Eric is planning to paint the four pillars that are attached to the front of his house. But, he needs to know how many square feet he'll be painting before he buys the paint. The pillars are each 10 feet tall and have a 1-foot diameter. What is the square footage that he'll be painting? [Note: Eric will not be painting the ends of the pillars.] (Use 3.14 for π.) 1,256 ft^2 125.6 ft^2 314 ft^2 251.2 ft^2

125.6 ft^2

There are 22 students in Mario's class. Mario's teacher is planning to pair the students up for a project. How many different combinations of pairs are possible? 11 44 231 462

231

The following graph represents a high school that has 842 students. If the sector representing the freshmen is approximately 28%, about how many students are freshmen? 101 211 257 236

236

All of the following statements are true except _____. 3.018 × 10-4= 0.0003018 |-14| = |14| 2^-1= -2 square root 28> 5

2^-1= -2

Haley read three less than twice as many books as her brother did last summer. Haley read five books. Which equation could you use to find how many books her brother read (b)? 3 - 2(5) =b 2(5) - 3 =b 2b- 3 = 5 3 - 2b= 5

2b- 3 = 5

The scale of a map is 1 centimeter to 25 kilometers. It is about 85 kilometers between two cities. How many centimeters should separate them on the map? 2 1/2cm 3 cm 3 1/2cm 4 cm

3 1/2 cm

What is the value of 2 + (-2/3) 2 ÷ 1/3 ? 0 16 3 1/3 -2

3 1/3

What is the value of 3 + (-1/4) 2 ÷ 1/2? 6 1/8 21 1/8 7 3 1/8

3 1/8

Between which two integers does square root 17 lie? 3 and 4 4 and 5 7 and 8 8 and 9

4 and 5

Select all of the following pairs of angles that are equal in measure. vertical angles corresponding angles supplementary angles alternate interior angles complementary angles adjacent angles alternate exterior angles

vertical angles corresponding angles alternate interior angles alternate exterior angles

The perimeter of a rectangle is 36 centimeters. If the length of the rectangle is 6 centimeters, what is the width?

width = 12 centimeters

Find the solution to the equation 3(y - 5) = -12.

y = 1

Which of the following equations shows the relationship between x and y in the table? x | y 1 | 4 2 | 6 3 | 8 4| 10 y=x+ 3 y= 3x+ 1 y= 2x+ 2 y= 4x

y= 2x+ 2

x | y 1 | 2 2 | 5 3 | 8 4 | 11 Which of the following equations shows the relationship between x and y in the table? y= 2x y=x+ 3 y=x+ 1 y= 3x- 1

y= 3x- 1