Free Printable 7th Grade Midterm Review

1.

Solve. -8 = 3n + 4

a)

4

b)

1 1/3

c)

-1 1/3

d)

-4

2.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

3.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

4.

Find the Error
What error did the student make when solving the equation:
5x + 6 = 66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300

a)

The student subtracted 6 from both sides instead of adding

b)

Student multiplied by 5 instead of dividing by 5

c)

Student got the wrong answer when subtracting 66-6

d)

The student did not correctly eliminate the variable from one side of the equation

5.

Use the Distributive Property to solve the equation.
4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

6.

a)

x= 12

b)

x= -12

c)

x= -22

d)

x= 22

7.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

8.

28 + 3r = 10r

a)

4

b)

7

c)

20

d)

28

9.

-8y = -3y -15

a)

3

b)

-3

c)

5

d)

-5

10.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

11.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

12.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

13.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

14.

Solve:
8 - 3k < 8(1 - 7k)

a)

k < 5

b)

k > 5

c)

k < -33

d)

k < 0

15.

Which is a solution of
5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

16.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

17.

Which number line shows the solution set to the inequality below?
x - 3 > -3

a)

A

b)

B

c)

C

d)

D

18.

what does the number line show

a)

x = 3

b)

x > 3

c)

x < 3

d)

x > 6

19.

solve the following inequality
5-(4x -5) ≤ 30

a)

x ≤ -5

b)

x < 10

c)

x ≥ -5

d)

x ≥ 10

20.

Is the quotient of -25 and -5 positive or negative

a)

positive

b)

negative

21.

64 ÷ (-8)

a)

8

b)

-8

c)

-9

d)

-7

22.

-7 + (-4) =

a)

-3

b)

11

c)

-11

d)

-3

23.

Solve:
(-2)(-1)(-3)(-4)(-1)

a)

-11

b)

24

c)

-24

d)

11

24.

Answer the following: -12 - (-8)

a)

A. -4

b)

B. 4

c)

C. 20

d)

D. -22

25.

A dolphin is swimming 10 feet below the surface. It descends another 12 feet before rising 4 feet. Which of the following would be the correct way to solve this word problem?

a)

-10 + -12 + -4

b)

-10 - 12 + 4

c)

10 - 12 - 4

d)

-10 + 12 + 4

26.

-12 + 9

a)

21

b)

3

c)

-3

d)

-21

27.

-27 / -27

a)

0

b)

-0

c)

1

d)

-1

28.

– 5 + ( - 4)

a)

1

b)

-1

c)

9

d)

-9

29.

The Thomas Jefferson Memorial is on 18.36 acres of land and the Franklin Roosevelt Memorial is on 7.5 acres of land. How many more acres does the Jefferson Memorial have than the Roosevelt Memorial?

a)

9.86 acres

b)

10.86 acres

c)

11.31 acres

d)

17.61 acres

30.

7.13 x 5.5

a)

39.215

b)

3.9215

c)

392.15

d)

3921.5

31.

Find the sum. 5.26 + 36.4 + 7

a)

42.6

b)

41.73

c)

48.66

d)

89.7

32.

A bag of oranges costs $7.65. Five friends want to share the bag. How much will each friend pay?

a)

$38.25

b)

$15.30

c)

$1.13

d)

$1.53

33.

What is the sum of 1/2 + 1/3 + 1/6?

a)

3/14

b)

3/11

c)

1

d)

6/8

34.

What is the least common denominator you could use to subtract 1/3 and 1/4?

a)

3

b)

4

c)

24

d)

12

35.

11/12 - 3/4

a)

14/12 = 1 2/12 = 1 1/6

b)

8/8 = 1

c)

2/12 = 1/6

d)

8/12 = 2/3

36.

5/12 x 8/15.
Express your answer in lowest terms.

a)

40/180

b)

8/36

c)

2/9

d)

4/18

37.

1/4 ÷ 2

a)

1/8

b)

2

c)

8

d)

1/2

38.

36 ÷ 6 3/4

a)

1/243

b)

243

c)

3/16

d)

16/3 = 5 1/3

39.

a)

13/3

b)

13/27

c)

9/39

d)

3/13

40.

a)

9/12

b)

9/14

c)

7/8

d)

6/24

41.

The improper fraction for this mixed number is:

a)

5/22

b)

12/2

c)

4/12

d)

12/5

42.

20/3= what as a mixed number?

a)

5 5/3

b)

6 2/3

c)

7 1/3

d)

6 3/3

43.

4 1/3 + 2 1/3

a)

6 1/3

b)

6 2/3

c)

6 2/6

d)

7 2/3

44.

Multiply these fractions

a)

2/18

b)

2/7

c)

1 1/3

d)

18/24

45.

a)

2 ¹/₅

b)

2 ⁴/₁₅

c)

6 ⁸/₁₅

d)

1 ¹/₅

46.

Joel made some muffins. He gave 1/4 of the muffins to a neighbor. He took 3/8 of the muffins to school. What fraction of the muffins did he have left?

a)

4/12

b)

3/8

c)

5/12

d)

8/8

47.

Bobby has 3/4 of a cake. If he shares a 1/8 slice with Morgan, how much does he have left?

a)

4/8

b)

5/8

c)

3/4

d)

7/8

48.

Choose the reciprocal of 4/5

a)

0

b)

1/5

c)

1/4

d)

5/4

49.

Sergio has 3/4 lb of peanuts. He divides them into 1/16-lb snack bags. How many bags does he fill?

a)

4

b)

12

c)

13

d)

20

50.

Find the area.

a)

32 in²

b)

12 in²

c)

32 in

d)

4 in²

51.

What is the area of this shape?

a)

56

b)

50

c)

78

d)

I have no idea how to do this. I need to come to tutoring.

52.

What is the area of the shaded region?

a)

19.8 cm²

b)

25.16 cm²

c)

32.6 cm²

d)

14.96 cm²

53.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

54.

Find AREA

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

55.

Find the area of the trapezoid

a)

36 meters squared

b)

72 meters squared

c)

18 meters squared

56.

The area of the circle is:

a)

200.96 units²

b)

50.27 units²

c)

8 units²

d)

25.13 units²

57.

a)

49 mi²

b)

14 mi²

c)

98 mi²

d)

2401 mi²

58.

what is the area of this semicircle ?

a)

25.12cm²

b)

200.96cm²

c)

50.24cm²

d)

none of the above

59.

What is the area of the composite figure?

a)

144 m²

b)

111 m²

c)

45 m²

d)

70 m²

60.

What is the area of the arrow?

a)

17 in2

b)

40 in2

c)

52 in2

d)

61 in2

61.

a)

122.46 mi²

b)

122. 45 mi²

c)

175.84 mi²

d)

175.85 mi²

62.

The figure shows 2 circles inside a trapezoid.

Which procedure should be used to find the area of the shaded region?

a)

Subtract the perimeter of the trapezoid from the area of both circles.

b)

Subtract the circumference of both circles from the area of the trapezoid.

c)

Subtract the area of the trapezoid from the area of both circles.

d)

Subtract the area of both circles from the area of the trapezoid.

63.

Find the area of the shaded region:

a)

350 cm²

b)

137.5 cm²

c)

212.5 cm²

d)

484.2 cm²

64.

A group of 3 friends each have video games at their home. Then each friend buys 5 more video games. Now the three friends have a total of 30 video games. How many video games did each friend start with?

a)

3(x+5) = 30

b)

x(3+5) = 30

c)

5(x+3) = 30

d)

30(3+5) = x

65.

You want to buy a new pair of shoes that costs $95.00. You have already saved up $27.00 and you plan to save $4 per week. How many weeks until you have enough money to buy the shoes?

a)

68 weeks

b)

17 weeks

c)

91 weeks

d)

64 weeks

66.

6^2+\left(-14\right)÷\ 2\ –\ (-8)

a)

7

b)

19

c)

13

d)

37

67.

Paul bought a notebook for $2.50 and 3 pencils. He spent a total of $5.47. How much did each pencil cost?

a)

$.99

b)

$2.97

c)

$7.97

d)

$1.17

68.

Which inequality represents:

5 times a number is not less than twice the number plus 9

a)

$5x>2x+9$

b)

$5x<2x+9$

c)

$5x\ge2x+9$

d)

$5x\le2x+9$

69.

Solve for x.

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

70.

The solution of this equation has an error. Identify at which step the error occurred.

2 ( x + 4) + 6 = 14

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

71.

Find the error

a)

There is no error

b)

They should have subtracted 3 to both sides

c)

They should have subtracted 2x to both sides

d)

They should have divided 7 to both sides

e)

The answer should be 6/7

72.

A student solved this problem. Which, if any, describe the mistake(s) made?

a)

He distributed incorrectly on step 1. 6(x + 2) = 6x + 8

b)

He added 3x twice to the left side and added nothing to the right side. He made the scale unbalanced.

c)

On step 4, he should have added 12 to get rid of an added 12.

d)

There are no mistakes

73.

Find the Error
What error did the student make when solving the equation:
5x + 6 = 66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300

a)

The student subtracted 6 from both sides instead of adding

b)

Student multiplied by 5 instead of dividing by 5

c)

Student got the wrong answer when subtracting 66-6

d)

The student did not correctly eliminate the variable from one side of the equation

74.

Simplify the expression -2(x + 5).

a)

-2x + 10

b)

-2x - 10

c)

-2x + 5

d)

-2x - 5

75.

Use the Distributive Property

5(2x + 3)

a)

10x + 3

b)

10x + 15

c)

25x

d)

7x + 8

76.

Use the Distributive Property to rewrite the expression.

-3(2x + 2y - 5)

a)

-6x - 6y - 15

b)

-6x + 6y + 15

c)

-6x - 6y + 15

d)

-6x - 2y + 5

77.

7g + 5 + 6g - 3

a)

13g - 3

b)

12g + 5

c)

13g + 2

d)

13g - 2

78.

a)

6x-1

b)

10x+7

c)

6x+1

d)

8x+1

7th Grade Midterm Review

Total questions: 78

Worksheet time: 3hrs 23mins

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