Free Printable 7-8a review

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7-8a review

Total questions: 108

Worksheet time: 3hrs 15mins

Name

Class

Date

What is the scale factor?

.25

If the scale factor is 4, what is the measurement of slide length x?

1.25

On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?

100 km

130 km

70 km

150 km

If the scale factor is less than one, the new figure will be

an enlargement

a reduction

a scale factor

bigger

If the scale factor is greater than one, the new figure will be

a reduction

an enlargement

a scale

not proportional

Which is an example of a reduction?

k = 1/2

k = 1

3:2

250%

Which is an example of an enlargement?

k = 1/2

k = 1

2:3

2.5

a⁷

a¹⁰

a³

a^-3

Which expression is equivalent to the given?

10.

Evaluate the expression using the quotient rule.

3⁴

1/3⁴

3^-12

3³²

11.

Evaluate the expression using the quotient rule.

x¹³

x⁵

x³⁶

x^-5

12.

Anything raised to a power of zero is always:

itself

negative

13.

Simplify:
(x³)(x²)

x⁵

x⁶

x^1.5

14.

n² x n^-3 x n⁵ x n

n⁵

n⁴

n¹¹

n¹²

15.

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

2/5

1/21

4/25

1/7

16.

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

Independent

Dependent

17.

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

Yes

18.

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

1/3

2/9

1/6

1/4

19.

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

1/6

5/6

1/3

2/3

20.

The perimeter of a rectangle is 46 cm. Its width is 5 centimeters. Find the length

10 cm

18 cm

4.6 cm

36 cm

21.

If the area of a rectangle is 50 square feet and the width is 10 feet, what is the perimeter?

5 feet

15 feet

30 feet

60 feet

22.

Which best describes the graph represented in this table?

proportional

non-proportional

23.

What is the equation?

y=x/4

y=4x

y= x + 4

y = x - 4

24.

What is the Constant of Proportionality?

k=46

k=92

k=0.2

not proportional

25.

What is the constant of proportionality?

26.

Which pair of angles are alternate exterior angles?

Angle 7 and Angle 4

Angle 2 and Angle 6

Angle 8 and Angle 1

Angle 2 and Angle 8

27.

Name the angle relationship.

Alternate Interior

Alternate Exterior

Corresponding

Vertical Angles

28.

What is the relationship of the angles?

Corresponding angles

Same Side Interior

Alternate Interior

Alternate Exterior

29.

Name the angle relationship.

Alternate Interior

Alternate Exterior

Corresponding

Vertical Angles

30.

Name the angle relationship.

Alternate Interior

Alternate Exterior

Corresponding

Vertical Angles

31.

Name the angle relationship.

Same Side Interior

Alternate Interior

Corresponding

Vertical Angles

32.

Name the angle relationship.

Corresponding

Alternate Interior

Vertical Angles

Supplementary

33.

Find the m∠D.

108

34.

Which of the following is NOT one of the angle measures?

35.

What is the value of x?

36.

What is the value of x?

37.

Determine the slope and y-intercept. y = 3/2x + 3

slope: 5 y-intercept: (0,3)

slope: 3/2 y-intercept: (0,3)

slope: 4 y-intercept: (0,3/2)

slope: 1/5 y-intercept: (0,5)

38.

Determine the slope and y-intercept. 4x + y = -10

slope: 4 y-intercept: (0,10)

slope: -4 y-intercept: (0,-10)

slope: -4 y-intercept: (0,10)

slope: 4 y-intercept: (0,-10)

39.

Write the equation of the line.

y=(3/5)x+1

y=(3/5)x-1

y=(5/3)x+1

y=(3/5)x+1

40.

Write the equation for the line.

y= -1x+3

y= 4x+3

y=(1/4)x+3

y= -4x+3

41.

^{What is the solution?}

-2

(1, 2)

(1, -1)

42.

What is the
slope-intercept form
of the equation
-8x+2y=4

none

y=2-4x

y=4x+2

y=4x-8y

43.

If m=3 and b=6, what is the correct slope intercept equation?

none

y=3x-6

y=3x+6

y=6x+3

44.

Find the slope given the table:

m = 5/7

m = -7/5

m = 7/5

m = -5/7

45.

Which equation below is a line that goes through (0,5) and has a slope of 3?

y=5x+3

y=-5x+3

y=3x+5

y=-3x+5

46.

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

47.

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

48.

Which example is not a function?

Example 1 and 3

Example 2 and 3

Example 2

Example 1

49.

Function

Not a Function

50.

Function

Not a Function

51.

Is this set of ordered pairs a function or not a function?

Function

Not a Function

52.

√24 in simplest radical form.

2√6

2√3

53.

Simplify:
√45

9√5

3√5

5√9

3√15

54.

Simplify:
√200

10√2

2√10

50√2

2√50

55.

_{^{Find the missing side}}

6.4

56.

_{^{Find the missing side}}

108

83.6

57.

Which set of sides would make a right triangle?

4,5,6

8,10,12

5,12,13

5,10,12

58.

Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent of change?

24%

20%

11%

50%

59.

Last year, 2,376 people attended a summer music festival. This year, attendance was 2,950. What was the percent of change in attendance to the nearest whole percent?

Increase 24%

Increase 19%

Decrease 24%

Decrease 19%

60.

Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the percent of change?

17% Decrease

18% Decrease

19% Decrease

20% Decrease

61.

What percentage of the data is between 40 and 90?

25 %

50%

75%

100%

62.

What percentage of the data is between 90 and 140?

25 %

50%

75%

100%

63.

What percent of students have heights between 60 inches and 66 inches?

75%

50%

100%

25%

64.

What percent of the data is between 30 and 35 on the number line?

25%

50%

75%

100%

65.

How long is side x?

2 ft

3 ft

4 ft

6 ft

66.

How long is side x?

1.5

2/3

67.

Find side length X.

68.

Which graph(s) show nonlinear functions?

Graph I, only

Graph II, only

Graph I and Graph II, only.

Graph I, Graph II, and Graph III

69.

Which function is linear?

y = 2x + 4

y = 2x² + 4

y = 2x(4 − 3x)

xy = 15

70.

Is the function Linear or Nonlinear?

Linear

Nonlinear

71.

Is the function Linear or Nonlinear?

Linear

Nonlinear

72.

What is the smallest integer that x can be if -3x − 4 < 12?

-5

-4

-3

-2

73.

If you go into a store with 60$ and spend 20% of it and then spend 40% of what remained. How much would you still have?

$24

$4.80

$28.80

$16

74.

In triangle ABC, the m∠A = (21x - 1)°, the m∠B = (26x + 6)°, and m∠C = (11x + 1)°. What is the m∠B?

84°

34°

62°

90°

75.

Select all that apply. Which of the following statements are correct?

Corresponding angles

x = 13

Same side interior angles

The two angle measures are 127º and 53º

x = 3.75

76.

Write and solve an equation to determine the value of x. Round to the nearest tenth.

31.1

57.5

171.7

6.1

77.

Using the value of x in question 7, solve for angle A.

97.6

93.6

101.6

6.1

78.

What is the GCF?

5x²+ 20x

20x

79.

What is the GCF?

24x³ + 36x²

6x²

12x²

12x³

80.

What is the GCF?

16x⁵+ 12x⁴ - x³

x⁵

12x

6x³

x³

81.

6m² + 16m

2(3m² + 8m)

2m(3m + 8)

2m(3m - 8m)

not factorable

82.

If the area of a circle is 25 π in² , then the diameter is?

10 in

5 in

25 in

pi in

83.

If the circumference of a circle is 22 π ft, what is the radius?

22 ft

11ft

π ft

no ft

84.

Find the area of a circle with a radius of 8ft. to the nearest tenth.

1,519.8 ft.²

69.1 ft.²

379.94 ft.²

379.9 ft.²

85.

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

3x²- x

4x²+ 2x

3x² + 3x

3x² + 2x

86.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

2x² + x + 2

x + 2

2x² + x - 10

x - 10

87.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

x_² + 6x + 8

2x²+ 5x - 7

-x²-6x + 8

-2x² + 11x - 4

88.

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

-8n² - 8n + 3

-7n² - 8n + 3

-6n²- 8n + 3

-7n² - 4n + 3

89.

How would you write 564,000,000 in scientific notation?

5.64 x 10^-7

5.64 x 10⁶

5.64 x 10⁸

56.4 x 10⁷

90.

Find the difference
(3.8 x 10⁴) - (2 x 10³)

1.8 x 10⁴

1.8 x 10¹

3.6 x 10¹

3.6 x 10⁴

91.

(8.4 * 10⁶)/(2.1 * 10³)

0.4 * 10⁴

400 * 10^-3

4 * 10³

4 * 10²

92.

How would you write 0.0005 in scientific notation?

50 x 10⁵

5 x 10^-⁴

5 x 10⁴

.5 x 10³

93.

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

4.3092 x 10¹

3.9098 x 10⁷

3.9098 x 10⁸

5.7678 x 10⁸

94.

The Diplodocus dinosaur is believed to have become extinct approximately 1.38x10⁸years ago. The Oviraptor is believed to have become extinct approximately 7x10⁷years ago. How many years were there between the extinction of these two dinosaur types?

6.8 x 10⁸

6.8 x 10⁹

68 x 10⁸

6.8 x 10⁷

95.

A microgram is equal to 1 x 10 ^-6grams. How many times greater than a microgram is 1 x 10²grams?

1 x 10^-8

1 x 10^-4

1 x 10⁴

1 x 10⁸

96.

The distance from the sun to the Andromeda galaxy is 1.2 x 10¹⁹ miles. Light travels at a speed of 5.88 x 10¹² miles per year (called a light-year). How long does it take light from the sun to the Andromeda galaxy?

2.04 x 10⁶ years

2.04 x 10⁷ years

7.056 x 10²¹ years

7.056 x 10⁷ years

97.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

3.326 x 10⁵

3.326 x 10⁶

1.99 x 10³⁰

1.99 x 10⁶

98.

Which of the following is closest to the area of the figure shown?(use 3)

420 cm²

512 cm²

320 cm²

1,124 cm²

99.

The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .

284.52 square feet

228 square feet

317 square feet

116.71 square feet

100.

-4x + 14 ≤ 54

x ≥ - 10

x ≤ -10

x ≥ 10

x ≤ 10

101.

-9a - 1 < 26

a < -3

a < 3

a > -3

a > 3

102.

Which integer is a solution for the inequality? -3x − 4 < 5

-2

-3

-4

-5

103.

Which of the following graphs illustrate the inequality

x\le-4

104.

Which figure shows the inequality x > -4?

Figure 1

Figure 2

Figure 3

Figure 4

105.

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

≤, ≥

<, >

106.

When graphing an inequality, you use an open dot when you use which symbol?

<, >

≤, ≥

107.

Which equation represents a line with a slope of 2 and a y-intercept of -3?

y = -3x + 2

y = 3x + 2

y = 2x - 3

y = -2x + 3

108.

Which set of ordered pairs represents a function?

(5,1) (6,2) (7,3) (5,4)

(2,3) (3,2) (2,5) (4,6)

(4,5) (5,6) (6,7) (7,8)

(1,2) (2,3) (1,4) (3,5)

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7-8a review

Total questions: 108

Worksheet time: 3hrs 15mins

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