Free Printable 7th Grade Review

1.

7 + g = 11

a)

g = 4

b)

g = -4

c)

g = 18

d)

g = -18

2.

z/4 = -8

a)

z = -32

b)

z = 32

c)

z = 2

d)

z = -2

3.

$110\ =\ -11m$

a)

m = 99

b)

m = -10

c)

m = 121

d)

m = -1210

4.

$-11p\ =\ -44$

a)

p = -55

b)

p = -33

c)

p = 484

d)

p = 4

5.

$\frac{n}{2\ }=\ -6$

a)

n = -12

b)

n = -4

c)

n = -3

d)

n = -8

6.

$\frac{a}{3}=\ 15$

a)

a = 45

b)

a = 18

c)

a = 12

d)

a = 5

7.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

a)

Addition

1.

Subtraction

b)

Subtraction

2.

Addition

c)

Multiplication

3.

Division

d)

Division

4.

Multiplication

8.

$3x+2\ =\ -25$

a)

$x\ =\ -8$

b)

$x\ =\ -9$

c)

$x\ =\ 9$

d)

$x\ =\ 24$

9.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

10.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

11.

$-15=-4t+5$

a)

-5

b)

2

c)

5

d)

-2

12.

What is 12% of 40?

a)

5

b)

4.8

c)

4

d)

12

13.

75% of what number is 48?

a)

48

b)

100

c)

64

d)

75

14.

What is 19% of 50?

a)

9.5

b)

10

c)

15

d)

11

15.

a)

2/5

b)

5/6

c)

4/6

d)

1/5

16.

$\frac{9}{10}+\frac{2}{5}=$

a)

7/5

b)

11/15

c)

3/10

d)

13/10

17.

$\frac{7}{8}-\frac{5}{6}$

a)

$\frac{1}{24}$

b)

$\frac{2}{3}$

c)

$\frac{5}{24}$

d)

$\frac{8}{9}$

18.

Convert to an improper fraction

a)

10/5

b)

11/5

c)

14/5

d)

28/5

e)

None of these

19.

Change 5 3/4 into an improper fraction

a)

23/4

b)

4/23

c)

20/4

d)

5 4/3

20.

Solve

a)

6/40

b)

6/10

c)

3/5

d)

12/20

e)

None of these

21.

What is the rule for dividing fractions?

a)

keep, change, opposite

b)

keep, change, flip

c)

keep, keep, change

d)

flip, change, keep

e)

None of these

22.

$\frac{5}{6}\ \times\frac{2}{3}=$

a)

$\frac{10}{18}$

b)

$\frac{5}{9}$

c)

$1\ \frac{2}{3}$

d)

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

23.

$\frac{4}{9}\times\frac{6}{2}=\$

a)

$\frac{2}{18}$

b)

$\frac{2}{7}$

c)

$1\ \frac{1}{3}$

d)

$\frac{2}{1.6}$

24.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

25.

¹/₄ ÷ ¹/₂

a)

²/₆

b)

¹/₈

c)

³/₅

d)

¹/₂

26.

$-20\div5=$

a)

-4

b)

4

c)

-100

d)

100

27.

$44\div\left(-4\right)=$

a)

11

b)

-176

c)

-11

d)

176

28.

$-30\div\left(-10\right)=$

a)

-300

b)

-3

c)

3

d)

300

29.

$\left(-3\right)^2$

a)

-6

b)

-9

c)

9

d)

6

30.

(-8) x ___ = -32

a)

3

b)

-3

c)

4

d)

-4

31.

Mya has 2 dogs, 5 birds, and 2 cats.

What is the ratio of birds to dogs?

a)

2 : 5

b)

9 : 5

c)

5 : 2

d)

3 : 2

32.

I have 2 gallons of water, 1 gallon of soda, 7 gallons of orange juice.

What is the ratio of soda to orange juice?

a)

2 to 7

b)

1 to 2

c)

7 to 1

d)

1 to 7

33.

I have 2 gallons of water, 1 gallon of soda, 7 gallons of orange juice.

What is the ratio of orange juice to TOTAL drinks?

a)

1/2

b)

7/10

c)

2/1

d)

10/7

34.

Match the equivalent ratios:

a)

5/25

1.

1/5

b)

2/4

2.

1/2

c)

3/9

3.

1/3

d)

8/64

4.

1/8

e)

4/16

5.

1/4

35.

The temperature is no more than -20º

a)

t < -20º

b)

t > -20º

c)

t ≥ -20º

d)

t ≤ -20º

36.

At least 15 students are going to the Knowledge Bowl meet.

a)

s < 15

b)

s > 15

c)

s ≤ 15

d)

s ≥ 15

37.

Write the inequality:
The Chicago Cubs have won more than 100 games.

a)

x > 100

b)

x < 100

c)

x ≥ 100

d)

x ≤ 100

38.

What inequality does the number line graph represent?

a)

x >= 3

b)

x > 3

c)

x < -3

d)

x <= 3

39.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

40.

To find the _________ you add up all the numbers and then divide by how many numbers you have.

a)

Mean

b)

Median

c)

Mode

d)

Range

41.

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

a)

Mean

b)

Median

c)

Mode

d)

Range

42.

What is the median of:
6, 12, 16, 11, 8, 4, 1, 11, 4

a)

11

b)

6

c)

8

d)

7

43.

What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7

a)

7

b)

20

c)

7 & 14

d)

none of the above

44.

Lizzy had test scores of: 72, 94, 108, 60
What is the RANGE of her test scores?

a)

12

b)

72

c)

48

d)

98

45.

The number that appears in the set of data the most is called the

a)

mean

b)

mode

c)

median

d)

range

46.

Find the mode of these numbers:

4,3,6,4,3,6,6,3,2,1,3

a)

3

b)

6

c)

4

d)

2

47.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

48.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

49.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

50.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

51.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

52.

Distance around the CIRCLE is called

a)

circumference

b)

radius

c)

pi

d)

perimeter

53.

Find the AREA of this figure.

a)

160 square feet

b)

160 feet

c)

160

d)

1600 feet

54.

What is the PERIMETER of this rectangle?

a)

22 sq. yd.

b)

22

c)

22 cm

d)

22 yd.

55.

Find the area

a)

8 ft²

b)

8 ft³

c)

4 ft²

d)

4 ft³

56.

Find the area:

a)

24 in²

b)

12 in²

c)

6 in²

d)

3.5 in²

57.

Find the perimeter of this triangle.

a)

12 in

b)

22 in

c)

18 in

d)

24 in

58.

The diameter of a circle is 3 centimeters. What is the circumference?

a)

11.5cm2

b)

9.42 cm2

c)

unicorns are awsome

d)

45.3 cm2

59.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

60.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

61.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

62.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

63.

Name the property.
7 + (11 + 10) = (7 + 11) + 10

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

64.

Which of the following is an example of Commutative Property of Addition ?

a)

4 + 2 = 7 + 4

b)

(9 + 8) + 5 = 9 + (8 + 5)

c)

3 + 9 = 9 + 3

d)

6 • 1 = 6

65.

Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2

a)

Yes, because of the associative property

b)

Yes, because of the commutative property

c)

Yes, because of the distributive property

d)

No, these two expressions are not equivalent

66.

Which of the following shows the Identity Property of Multiplication

a)

5 • 0 = 0

b)

8 • 3 = 3 • 8

c)

12 • 1 = 12

d)

8 + 0 = 8

67.

Which property is this an example of?

6 • 7 = 7 • 6

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Inverse Property of Multiplication

d)

Distributive Property

68.

Natural Numbers:

a)

Whole numbers from 1 and up (counting numbers)

b)

a number that cannot be expressed as a fraction (because the decimal goes on forever without repeating)

c)

Positive or negative, large or small, whole numbers, fractions or decimal numbers

d)

A number with no fractional or decimal part and starts with zero

69.

Match the following

a)

Circle

1.

A round shape

b)

Square

2.

A shape with 4 right angles and 4 equal sides

c)

Rectangle

3.

a shape with 4 right angles and 2 pairs of equal sides

d)

Triangle

4.

A shape with three sides

e)

Right Triangle

5.

A three-sided shape with a 90 degree angle

70.

Match the following

a)

Right angle

1.

Triangle with one 90 degree angle

b)

Scalene Triangle

2.

No equal sides or angles

c)

Equilateral Angle

3.

Equal sides and equal angles

d)

Isoceles Triangle

4.

Two equal sides and angles

e)

Acute Triangle

5.

All angles are less than 90 degrees

71.

Match the following

a)

Associative Property

1.

(1+2)+3 = 1+(2+3)

b)

Distributive Property

2.

3(1 +2) = 3x1 + 3x2

c)

Commutative Property

3.

1+2+3 = 3+2+1

d)

Identity Property of multiplication

4.

3x1=3

e)

Identity property of addition

5.

5+0=5

7th Grade Review

Total questions: 71

Worksheet time: 1hrs 11mins

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