Free Printable 1st Semester Cumulative Review 7th Grade

1.

$-\frac{2}{7}\left(\frac{3}{5}\right)$

a)

$-\frac{10}{21}$

b)

$\frac{10}{21}$

c)

$\frac{6}{35}$

d)

$-\frac{6}{35}$

2.

$\frac{1}{6}\left(\frac{3}{5}\right)$

a)

$-\frac{1}{10}$

b)

$\frac{1}{10}$

c)

$\frac{5}{18}$

d)

$-\frac{5}{18}$

3.

$-\frac{6}{7}\left(-\frac{8}{9}\right)$

a)

$\frac{16}{21}$

b)

$-\frac{16}{21}$

c)

$\frac{48}{7}$

d)

$-\frac{48}{7}$

4.

1.3(-2.4)

a)

3.12

b)

-3.12

c)

0.312

d)

-0.312

5.

$\frac{\text{5}}{\text{6 }}\times\left(-\frac{\text{1}}{\text{10}}\right)$ = ?

a)

$\frac{\text{5}}{\text{12}}$

b)

$-\frac{\text{1}}{\text{12}}$

c)

$-\frac{\text{5}}{\text{12}}$

d)

$\frac{\text{}1}{\text{4}}$

6.

(-5)(-6)(7.5)=

(a)

7.

(-4)(-3)(-2)(-4)=

(a)

8.

a)

-5.27

b)

3.57

c)

-3.57

d)

5.27

9.

-6.3(-0.6)

a)

-3.78

b)

5.76

c)

3.78

d)

-5.12

10.

Evaluate and simplify (reduce):

$3\frac{3}{4}\cdot\frac{1}{2}=$

a)

$\frac{27}{8}$

b)

$\frac{15}{8}$

c)

$\frac{30}{4}$

d)

$\frac{15}{2}$

11.

$-12\cdot\frac{1}{3}$

a)

4

b)

-4

c)

36

d)

-36

12.

$\left(\frac{2}{3}\right)\times\left(\frac{1}{2}\right)\times\left(-\frac{3}{4}\right)$

a)

$-\frac{2}{3}$

b)

$\frac{1}{3}$

c)

$-\frac{1}{4}$

d)

$-\frac{1}{2}$

13.

$-7\left(-6\right)=$

a)

$42$

b)

$-42$

c)

$-13$

d)

$13$

14.

What is the value of:

$4\left(-5\right)$

a)

$-20$

b)

$20$

c)

$-1$

d)

$1$

15.

What is the value of:

$18\div\left(-9\right)$

a)

$2$

b)

$-2$

c)

$9$

d)

$-9$

16.

(-7) × (-7)

a)

14

b)

-14

c)

49

d)

-49

17.

20 ÷ (-1)

a)

-20

b)

-19

c)

19

d)

21

18.

(-16) ÷ 4

a)

-4

b)

3

c)

4

d)

-12

19.

A negative times a negative will create a _______.

a)

Negative

b)

Positive

20.

A positive times a negative will always create a _______.

a)

Negative

b)

Positive

21.

(-3)(-2)(-4)

a)

6

b)

24

c)

-6

d)

-24

22.

5(-10)(-9)

a)

-50

b)

-450

c)

450

d)

50

23.

64 ÷ (-8)

a)

8

b)

-8

c)

-9

d)

-7

24.

-5 x -8

a)

-40

b)

-13

c)

-45

d)

40

25.

44/-4=

a)

11

b)

-8

c)

-11

d)

-1/11

26.

Simplify $-12\div\left(-4\right)$

(a)

27.

(-24) ÷ (-6)

a)

3

b)

4

c)

-3

d)

-4

28.

$9\div\left(-3\right)$

(a)

29.

$-20\div\left(-4\right)$

(a)

30.

Select ALL that have a positive solution

a)

3 × 5

b)

15 ÷ -5

c)

-10 × -5

d)

-4 × 6

e)

-30 ÷ -6

31.

-55 ÷ 11 =

a)

-44

b)

44

c)

5

d)

-5

32.

$-85\ \div\left(-5\right)$

(a)

33.

-72 ÷ -8

(a)

34.

An eagle is flying 252 inches above a lake and sees a fish swimming 96 inches under water. What is the distance between the eagle and fish?

a)

156 inches

b)

348 inches

c)

244 inches

d)

358 inches

35.

What is $\ \frac{9}{25}$ written as a decimal?

a)

0.09

b)

0.25

c)

0.925

d)

0.36

e)

2.78

36.

A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?

a)

28 feet

b)

-28 feet

c)

52 feet

d)

-52 feet

37.

The temperature on Sunday was -15^o C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

a)

-27^o C

b)

27^o C

c)

-3^o C

d)

3^o C

38.

Your bank account originally had (-$300). You deposited $500 into your bank account. How much do you have in your bank account now?

a)

$200 in the bank account

b)

(-$200) in the bank account

c)

increased by $200

d)

decreased by $200

39.

Mount Columbia is the highest mountain in the province of Alberta, with a peak of about 2,500 feet above sea level. Lake Toho has the lowest point at 50 feet below sea level.

What is the difference in elevation between Mount Columbia and Lake Toho?

a)

2,213 feet

b)

2,550 feet

c)

2,450 feet

d)

2,650 feet

40.

A submarine is 150 feet below sea level while an airplane is 375 feet above sea level. What is the difference between the height of the submarine and the airplane? Select the correct expression and answer.

a)

375-(-150)

b)

525 feet

c)

325 feet

d)

-150+375

e)

-150-(-375)

41.

Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?

a)

6th floor

b)

7th floor

c)

8th floor

d)

9th floor

42.

A sprinkler was -8 feet below ground level. Mr. S has a machine that digs - 2 feet at a time. How many digs does he need to make in order to reach the sprinkler?

a)

4

b)

-4

c)

16

d)

-16

43.

Suppose $700 is being deducted each month to pay the mortgage. After six months, how much money has been taken out of the pay for the mortgage?

a)

$4200

b)

$-4,200

c)

$116.66

d)

$-166.66

44.

What is the first step in solving this problem:

-12 ÷ 6 (-3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

45.

Simplify: $-12+2\left(8-10\right)^2$

a)

-20

b)

-4

c)

40

d)

-40

46.

Simplify the expression if m = -7 and n = 4:

5m + 9n

a)

71

b)

1

c)

-1

d)

-71

47.

Simplify the following expression if x = 8 and y = -3

x² - xy

a)

88

b)

40

c)

-8

d)

-24

48.

Simplify if w = -4

-7w² + 2w

a)

104

b)

-64

c)

-120

d)

120

49.

Simplify the following expression if a = 4 and b = -2

(20ab) ÷ (a-b)²

a)

40/3

b)

40

c)

-40/9

d)

-13

50.

What is the value of the expression

x² + y² + x - y

when x = -1 and y = 3?

a)

6

b)

8

c)

12

d)

16

51.

Evaluate bc + 5a

when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

52.

What is 16y - u + 34x when x=2 u =14 and y = 3?

a)

102

b)

43

c)

2

d)

107

53.

Evaluate x + y + z + a - c when x=11, y = 3, z = 4, a = 14 and c=10?

a)

22

b)

32

c)

2

d)

17

54.

5m + 9n if m = -7 and n = 4

a)

71

b)

1

c)

-1

d)

-71

55.

x² - xy if x = 8 and y = -3

a)

88

b)

40

c)

-8

d)

-24

56.

(18 - ab) + 4b if a = -2 and b = -5

a)

8

b)

28

c)

48

d)

-12

57.

-7w² + 2w if w = -4

a)

104

b)

-64

c)

-120

d)

120

58.

½(10p - 7q) if p = 9 and q = 2

a)

31

b)

38

c)

52

d)

152

59.

10c - cd + d³ if c = -6 and d = 2

a)

-40

b)

56

c)

54

d)

-64

60.

(12xy)/(x - y) if x = 3 and y = -1

a)

9

b)

-18

c)

18

d)

-9

61.

a)

18

b)

-18

c)

27

d)

-27

62.

a²-b²Evaluate if a=4 and b =-2

a)

4

b)

20

c)

-4

d)

12

63.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

64.

What is the value of the expression
x² + y² + x - y
when x = -1 and y = 3

a)

6

b)

8

c)

12

d)

16

65.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

66.

a²-b²Evaluate if a=4 and b =-2

a)

4

b)

20

c)

-4

d)

12

67.

g²-3(h-g)Evaluate if g=3 and h=-2

a)

6

b)

9

c)

24

d)

5

68.

9a - ab + 5b
if a = 2 and b = 7

a)

37

b)

67

c)

39

d)

32

69.

r³ + 2s²
if r = -3 and s = 4

a)

59

b)

5

c)

37

d)

91

70.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

71.

3(2x + z) when x=8 and z=2

a)

12

b)

30

c)

54

d)

60

72.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

73.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

74.

(2x + 3) + (x + 5)

a)

3x + 5

b)

3x + 8

c)

2x + 5

d)

2x + 8

75.

(6x + 9) - (4x + 6)

a)

10x + 15

b)

2x + 15

c)

10x + 3

d)

2x + 3

76.

(10x + 2) - (8x - 4)

a)

2x - 2

b)

2x + 6

c)

18x + 6

d)

18x - 2

77.

(x + 4) + (3x + 9)

a)

4x + 13

b)

3x + 13

c)

4x +5

78.

(2x - 6) + (4x - 4)

a)

6x + 10

b)

6x - 10

c)

6x + 2

79.

(6x + 3) + (5x +2)

a)

11x + 1

b)

x + 5

c)

11x + 5

80.

(5x - 6) - (x + 2)

a)

4x - 8

b)

4x - 4

c)

4x + 4

81.

(2x + 4) - (7x - 1)

a)

5x + 3

b)

-5x + 5

c)

-5x - 5

82.

(4x + 8) - (6x - 9)

a)

-2x + 1

b)

10x + 17

c)

-2x + 17

83.

(3x - 4) - (7x - 2)

a)

-4x - 2

b)

-4x + 2

c)

4x - 6

84.

Find the GCF for the pair of monomials.

24m, 48mn

*hint: what do they have in common?

a)

24m

b)

24

c)

6n

d)

not factorable

85.

Find the GCF for the monomials.

12xy, 24x

*hint: What do they all have in common?

a)

xy

b)

12x

c)

12xyz

d)

not factorable

86.

Factor:
8x+40

a)

2(4+10x)

b)

8(x+5)

c)

8(2x+5)

d)

2x(x+5)

87.

Factor 4x + 30y.

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

cannot be factored

88.

Factor:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Can't be factored

89.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

90.

Factor:
14x + 20

a)

2(7x + 10)

b)

4(2x + 5)

91.

-6z + 42

a)

6(-z + 7)

b)

-6(z - 7)

c)

Cannot Be Factored

d)

-3(2z + 14)

92.

Factor this expression. If the expression cannot be factored, select that answer.

7x - 3

a)

7(x - 3)

b)

cannot be factored

c)

3(2x - 1)

d)

7x = 3

93.

Use the GCF to factor the expression. If the expression cannot be factored, choose "cannot be factored."

36x+24

a)

cannot be factored

b)

$12\left(3x+2\right)$

c)

$3\left(12x+8\right)$

d)

$4\left(9x+6\right)$

94.

Simplify by combining like terms:

8 + 3x - 2 + x

a)

4x + 6

b)

6 + 4x

c)

3x + 10

d)

3x + 6

95.

Simplify the expression:

9(x + 2)

a)

9x + 2

b)

9x + 18

c)

9 + x + 2

d)

11x

96.

Simplify the algebraic expression:

3n - n

a)

n

b)

2n

c)

3n

d)

4n

97.

Simplify the expression:

5(4 - 2x) + 3x

a)

13x + 20

b)

5x + 20

c)

x + 20

d)

-7x + 20

98.

$12p+3+2p$

a)

17p

b)

10p + 3

c)

14p + 3

d)

13p

99.

$15x+7-5x$

a)

17x

b)

20x + 7

c)

10x + 7

d)

10x - 7

1st Semester Cumulative Review 7th Grade

Total questions: 99

Worksheet time: 4hrs 25mins

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