Free Printable Math 7A Midterm Review

1.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

2.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

3.

Which integer represents a withdrawal from your bank account of $50

a)

-$50

b)

$50

c)

+$50

4.

At midnight, the temperature was 30 degrees. By 6:00 a.m, it had dropped 5 degrees, and by noon, it had increased by 11 degrees. What was the temperature at noon?

a)

36 degrees

b)

27 degrees

c)

39 degrees

d)

16 degrees

5.

At 6am in Buffalo, the temperature was -13 degrees. By noon, the temperature was 27 degrees. How much did the temperature change?

a)

23 degree change

b)

14 degree change

c)

40 degree change

d)

32 degree change

6.

-5(x-10)=-35

a)

x=17

b)

x=-17

c)

x=15

d)

x=-7

7.

Factor

8m − 24

a)

can't be factored

b)

m(8 − 24)

c)

4m(2 − 6)

d)

8(m − 3)

8.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

9.

Solve for w:

\frac{2w}{5}-9=11

a)

$w=50$

b)

$w=10$

c)

$w=32$

d)

$w=23$

10.

Simplify: (7a + 4) - (9a + 2)

a)

-2a + 6

b)

16a + 6

c)

-2a + 2

d)

2a + 2

11.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

12.

$\frac{1}{3}\left(3x+7\right)+\frac{2}{9}\left(\frac{9}{2}x+3\right)$

a)

2x + 3

b)

$\frac{15}{3}x\ +\ 30$

c)

$\frac{9}{2}x+11$

d)

-2x + $\frac{3}{2}$

13.

The perimeter of the rectangle ABCD is:

a)

2x + 3

b)

4x + 6

c)

8x + 12

14.

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes?

a)

$3.50

b)

$7.50

c)

$9.00

d)

$16.50

15.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

16.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

17.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

18.

The temperature at 6:00 pm was 15°C. The temperature dropped 2°C per hour. What was the temperature at 4:00 am?

a)

-10°C

b)

5°C

c)

-5°C

d)

10°C

19.

What is the absolute value of: ∣ -3 ∣

a)

3

b)

-3

c)

0

d)

9

20.

Which day on the table had the balance closest to zero?

a)

Monday

b)

Wednesday

c)

Thursday

d)

Friday

21.

Simplify:

(4y + 3) - (y - 2)

a)

5y + 5

b)

3y + 5

c)

3y - 5

d)

5y + 1

22.

What is the simplified answer for the ratio 24 messages : 10 messages?

a)

8:5

b)

4:5

c)

6:5

d)

12:5

23.

Combine like terms: 10a + 4b + 3a - 15b

a)

14a + 18b

b)

13a - 11b

c)

13a + 11b

d)

13a - 19b

24.

The number of pictures your printer can print are shown in the table. Find the unit rate of pictures per minute.

a)

2 pic/min

b)

4 pic/min

c)

6 pic/min

d)

8 pic/min

25.

Solve:

3k - 2 = 10

a)

k = 4

b)

k = 6

c)

k = 2

d)

k = 8

26.

Solve:

3 (x + 1) = -24

a)

x = -8

b)

x = 8

c)

x = -9

d)

x = 9

27.

Additive Inverse of 15

(a)

28.

Additive Inverse of -10

(a)

29.

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the headphones?

Write the inequality to the problem.

a)

14x+30 ≥ 240

b)

14x+30 ≤ 240

c)

30x+14 ≥ 240

d)

30x+14 ≤ 240

30.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

31.

Which angle relationship is this?

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Angles About a Point

32.

Which angle relationship is this?

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Angles About a Point

33.

Complementary angles are angles that together equal

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

100 degrees

34.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

35.

What is the value of x?

a)

15

b)

90

c)

75

d)

10

36.

Angle M and Angle R are complementary. Angle M measures 55 degrees. Angle R measures (2x + 10) degrees.

Which equation could be used to find x?

a)

2x + 10 = 90

b)

2x + 65 = 90

c)

2x + 65 = 180

d)

2x + 65 = 360

37.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

38.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

39.

Solve for x

a)

20

b)

25

c)

120

d)

180

40.

Find the value of x.

a)

x=125

b)

x=55

c)

x=45

41.

Find the values of y and z.

a)

y=76, z=114

b)

y=104, z=76

c)

y=76, z=104

d)

z=114, y=76

42.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

43.

1. Find X

a)

28

b)

5

c)

55

d)

40

44.

If the diameter is 48m, what is the radius?

a)

96m

b)

24m

c)

12m

d)

4m

45.

If the radius is 34in, what is the diameter?

a)

17in

b)

68in

c)

3.4in

d)

22in

46.

What is the exact circumference? (in terms of pi)

a)

$10\pi\$

b)

$5\pi$

c)

$20\pi$

47.

What is the exact circumference? (in terms of pi)

a)

$6\pi$

b)

$12\pi$

c)

$3\pi$

48.

What is the diameter of a circle with a circumference of 11.27π ft?

a)

$11.27\pi^2$

b)

11.27

c)

$\frac{11.27}{\pi}$

d)

22.54

49.

What is the diameter of a circle with a circumference of 132 ft?

a)

$132\pi$

b)

$\frac{66}{\pi}$

c)

$\frac{132}{\pi}$

d)

$64\pi$

50.

How much fencing is required to enclose a circular garden whose radius is 14 m?

a)

43.96

b)

87.92

c)

138.03

d)

276.35

51.

What is the area of a circle with a radius of 8cm?

A=\pi\cdot r^2

a)

200.96

b)

25.12

c)

50.24

52.

What is the area of a circle with a diameter of 8 in? (Remember that you need the radius...not diameter)

A=\pi\cdot r^2

a)

200.96

b)

113.04

c)

50.24

53.

9. What is the approximate area of the figure pictured?

a)

3.53 cm²

b)

7.07 cm²

c)

5.30 cm²

d)

21.20 cm²

54.

How many solutions does this equation have?

$2x\ +\ 1\ =\ 1\ +\ 2x$

a)

No Solution

b)

Infinite Solution

c)

One Solution

d)

37 solutions

55.

How many solutions does this equation have?

$5x\ +\ 5\ =\ 8\ +\ 5x$

a)

No Solution

b)

Infinite Solution

c)

One Solution

d)

37 solutions

56.

How many solutions does this equation have?

$4x\ +\ 1\ +\ 2\ =\ 8\ +\ 6x$

a)

No Solution

b)

Infinite Solution

c)

One Solution

d)

37 solutions

57.

Solve using the product law of exponents

(5⁵)(5³)

a)

25⁸

b)

5¹⁵

c)

25¹⁵

d)

5⁸

58.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

59.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

60.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

61.

$\frac{18w^{15}v^{10}}{6w^3v^2}$

a)

$12w^{12}v^8$

b)

$3w^{12}v^8$

c)

$3w^5v^5$

d)

$12w^5v^5$

62.

Simplify

\left(\frac{2^0}{3^2}\right)^{ }

a)

$\frac{1}{9}$

b)

1

c)

49

d)

$\frac{6}{1}$

63.

Simplify (-5.7)⁰

a)

1

b)

0

c)

-1

d)

-5.7

64.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

65.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

66.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

67.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

68.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

69.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

70.

Solve: 2(4x-3) - 8 = 4 + 2x

a)

x=5/3

b)

x=3

c)

x=1

d)

x=2

Math 7A Midterm Review

Total questions: 70

Worksheet time: 3hrs 7mins

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