Free Printable Unit 1: Number Systems

Worksheets

Unit 1: Number Systems - Unit 5 Geometry

Total questions: 72

Worksheet time: 4hrs 46mins

Name

Class

Date

You can spend no more than $10.60 at the movies, complete the following three

$x\ge10.60$

$x\le10.60$

$x>10.60$

$x<10.60$

Less than or equal to

≤

≥

Less Than

≤

≥

Greater than or equal to

≤

≥

Greater than

≤

≥

When you graph an inequality, you used a CLOSED dot when you use which symbols?

≤, ≥

<, >

≤, <

≥, >

Which inequality matches the graph?

x<3

x>3

x<3

x>3

Solve the inequality.
x + 5 ≤ 13

x ≥ 8

x ≥ 18

x ≤ 8

x ≤ 18

Pick the correct letter for:
6 > x

10.

The amount of gas Madeline buys, and the total cost of the gas. What depends on what?

The total cost of gas depends on the amount of gas Madeline buys

The amount of gas Madeline buys depends on the total cost of gas

11.

The solution to an inequality shows__________.

only 1 solution

only 2 solutions

multiple solutions

12.

The amount of money Jake has and the number of candy bars he can buy. What is the independent and what is the dependent variable?

Indep: Amount of money Jake has

Dep: Candy Bars he can buy

Indep: Candy bars he can buy

Dep: Amount of money Jake has

13.

Is x = 9 a solution to the given inequality.
x > 9

TRUE

FALSE

14.

Evaluate 8a - b if a = 10 and b = 6

1000

9000

15.

Evaluate 2a + 4b
if a = 10 and b = 6

16.

b² + 4
when b = 3

17.

(7 + 41) ÷ 2 – 15 =

18.

What does 3² mean?

3 x 2

3 x 3

2 x 2 x 2

19.

Solve the following:
(2 + 7 - 1) ÷ 2²

72.25

8.75

20.

Evaluate Expressions a=3 b=4

7a + 8b x 2

110

100

21.

Find the perimeter of the rectangle

2x - 2

6x - 15

4x - 4

6x - 15

22.

Find the perimeter of the rectangle.

3x + 7

6x + 14

18x + 6

23.

Find the perimeter of the rectangle.

20x - 4

10x - 2

9x² - 2x

18x - 4

24.

Find the area of the rectangle.

6x - 15

4x - 4

2x - 2

5x - 2

25.

Find the area of the rectangle.

2x + 4

x + 2

8x - 16

4x - 8

26.

Which of the following is equivalent to 4(6x + 3)

10x + 3

10x + 12

24x + 3

24x + 12

27.

Which of the following is equivalent to 2x + 3?

2x - 3

3x - x + 3

2(x + 3)

x + 3 + x + 3

28.

Which expression is equivalent to 5(x + 3) + 2(3x + 4)

11x + 23

11x + 7

10x + 23

11x + 14

29.

Write the expression:
4 less than 5 times p

5p - 4

4 - 5p

4p - 5

5 - 4p

30.

Write the expression:
the sum of 6 and x multiplied by 4

6 + 4x

4(6 + x)

4(6) + x

4x + 6

31.

Which vocabulary word is defined below:

A letter or symbol used to represent a number or quantities that vary.

coefficient

variable

exponent

like terms

32.

Which vocabulary word is defined below:

The rules to be followed when simplifying expressions.

term

order of operations

constant

associative property of addition

33.

Write in exponential form.

7 x 7 x 7 x 7 x 7 x 7

7⁵

6⁷

7³

7⁶

34.

Write in exponential form.

2 x 2 x 2 x 2 x 2

2⁵

5²

10²

6³

35.

Evaluate this expression:
3(4)²

144

None of these

36.

the difference between forty-six and a number

46 x n

46/n

n-46

46 − n

37.

Write an algebraic expression for:
14 decreased by a number

14+n

14-n

n-14

14 decreased by a number

38.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

True

False

39.

r less than 5

r - 5

5 - r

r + 5

5 + r

40.

Mrs. Rice bought 27 books for the class. What was the cost for one book if she spent a total of $67.50?

$2.13

$0.21

$0.25

$2.50

41.

Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?

$1.30

$6.50

$13.00

$0.65

42.

What is the reciprocal of 2 1/4?

9/4

4/9

2 2/8

18/8

43.

What is the reciprocal of 1 2/3

5/3

1 4/6

6/8

3/5

44.

Do you need to move the decimal/ re-write the problem before dividing?

Yes

45.

What is the definition of division?

The opposite.

The splitting into equal parts or groups.

The answer; the number of items in each group.

The larger number that is being separated into smaller groups.

46.

A repeating decimal is a decimal...

whose digits repeat forever

whose digits stop at a certain point

whose digits have a pattern

47.

What is the definition of quotient?

The opposite.

The splitting into equal parts or groups.

The answer; the number of items in each group.

The larger number that is being separated into smaller groups.

48.

Eight friends went out to dinner. The total bill was $102. If everyone split the bill evenly, how much did each person pay?

$12.75

$17.00

$12.60

$17.25

49.

Hank has a large bag of trail mix that weighs 7.8 pounds. He uses the mix in the large bag to make bags each containing 0.6 pound of mix. How many bags containing 0.6 pound can be made?

1.3

1.4

50.

Find the area?

15 in²

30 in²

15 in

30 in

51.

Find the area of the figure.

43 sq inches

102 sq inches

37 inches

90 sq inches

52.

A right rectangular prism is packed with unit cubes of side length¼ foot as shown. How many ¼ foot cubes make up the right rectangular prism?

53.

What is the surface area of the figure?

64 square cm

112 square cm

96 square cm

28 square cm

54.

A storage box is shaped like a rectangular prism, as shown below. Caydn stored ½ inch cubes in the box. How many cubes are needed to completed fill the box?

35 cubes

105 cubes

26 cubes

52 cubes

55.

The box pictured below has 6 faces that do not overlap. The box will unfold into one of the figures below. Which figure is it?

56.

Find the surface area of the rectangular prism with the following dimensions:
length = 11 m
height = 7 m
width = 2 m

226 m squared

220 m squared

150 m squared

154 m squared

57.

What is the surface area?

70 and 3/5 ft²

51 ft ²

147 ft²

87 ft ²

58.

How many faces does this shape have?

59.

Find the area of the figure.

10 cm²

24 cm²

12 cm²

20 cm²

60.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

16 customers per hour

15 customers per hour

12 customers per hour

20 customers per hour

61.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

$8 per pound

$5 per pound

$35 per pound

0.125 pounds per dollar

62.

It snowed 14 inches in 5 hours. What is the unit rate?

3 inches

1.5 inches

5 inches

2.8 inches

63.

The car travels 440 miles in 8 hours. What is the unit rate?

12 miles in 1 hour

55 miles in 1 hour

110 miles in 1 hour

44 miles in 1 hour

64.

There are 10 football players, 4 soccer players, and 2 tennis players. What is the ratio of soccer players to all sports players?

1:4

1:3

4:10

4:15

65.

What is the value of this expression?

7³+ 6³

234 + 456= 690

343 + 216= 559

123 + 345= 468

444 + 224= 668

66.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

v - 4 = 10

v + 4 = 10

10 - 4 = v

Answer not Given

67.

1467 + x = 1653

x = 3120

x = 186

x = 286

x = 3020

68.

2( x + 9)

18x

2x + 18

69.

What is the first step to solve this equation:
3x = 44

Add 3 to both sides

Subtract 3 from both sides

Multiply 3 on both sides

Divide 3 on both sides.

70.

Which inequality matches the graph?

x>-2

x<-2

x>-2

x<-2

71.

5. 6b = 30

x = 36

x = 24

x = 180

x = 5

72.

x + 12 = 20

x = 32

x = -32

x = 8

x = -8

Reset

Unit 1: Number Systems - Unit 5 Geometry

Total questions: 72

Worksheet time: 4hrs 46mins

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