Free Printable 7th Grade Review

1.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

2.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

3.

Given that $x\ \le\ -5\ \ is\ True.$
Which statment is True?

a)

$-x\ \le\ 0$

b)

$-x\ \ge5$

c)

$-x\ \le\ -5$

d)

$-x\ <\ 5$

4.

Which statment is True?

a)

$\left(2\right)\left(-3\right)\ <\ 0$

b)

$-\left(-2\right)\left(-1\right)>0$

c)

$3\left(-3\right)<0$

d)

$-\frac{-3}{-53}>0$

5.

Given that $2x\ >\ 1\ \ \$
Which statment is True?

a)

$x\ <\ \frac{1}{2}$

b)

$x>\frac{1}{2}$

6.

Given that $2x\ >-\ 1\ \ \$
Which statment is True?

a)

$x\ <\ \frac{-1}{2}$

b)

$x>\frac{-1}{2}$

7.

Which number verify the inequality $x\ \ge0\ \ \$ ?

a)

3

b)

-3

c)

0

d)

1

8.

Which graph represents the inequality 6 > x

a)

A

b)

B

c)

C

d)

D

9.

-2+-2=

a)

4

b)

-4

c)

0

d)

-5

10.

-17 + -23 =

a)

-3

b)

40

c)

-40

d)

3

11.

Which number is closest to 0 on a number line?

a)

-10

b)

-14

c)

-15

12.

Which number is greatest?

a)

-1

b)

-4

c)

-6

13.

Which number is the greatest?

a)

-8

b)

-10

c)

-7

14.

Which of these is the positive number?

a)

2

b)

0

c)

-14

15.

-36 is greater than -35.

a)

True

b)

False

16.

Which number is SMALLER?

9 or -9

a)

9

b)

-9

c)

Neither

17.

-8+4

a)

-4

b)

-12

c)

4

d)

12

18.

-6 + 7

a)

1

b)

-1

c)

13

d)

-13

19.

$-5+8$

a)

3

b)

-13

c)

-5

d)

12

20.

Where do you start on the number line to do this calculation?

a)

Start at 8

b)

Start at -8

c)

Start at 2

d)

Start at -2

21.

5 + -2

a)

3

b)

7

c)

-3

d)

-7

22.

4 + (-5) =

a)

9

b)

-9

c)

1

d)

-1

23.

-7 + - 3 =

a)

10

b)

-4

c)

4

d)

-10

24.

Rewrite the problem as addition.

-5.66 - (-4.1)

a)

5.66 + (-4.1)

b)

-5.66 + 4.1

c)

-5.66 + (-4.1)

d)

-5.66 - 4.1

25.

-13 + 8 = ?

a)

-21

b)

-5

c)

5

d)

21

26.

An equation is :

a)

a mathematical phrase that has an equal sign / una frase matemática que tiene un signo igual

b)

a mathematical phrase that DOES NOT has an equal sign / es una frase matemática que no tiene signo igual

27.

An expression is:

a)

a mathematical phrase that has an equal sign / una frase matemática que tiene un signo igual

b)

a mathematical phrase that DOES NOT have an equal sign / es una frase matemática que no tiene signo igual

28.

A variable is:

a)

an equal sign / un signo igual

b)

a letter used to represent an unknown number / una letra que se usa para representar un número desconocido.

c)

a mathematical phrase / una frase matemática

d)

I don't know / no sé

29.

8 - 2j

a)

Equation

b)

Expression

30.

3(x-2) = 66

a)

Equation

b)

Expression

31.

7h + 90

a)

Expression

b)

Equation

32.

p² + 12 - 3

a)

Equation

b)

Expression

33.

$\frac{1}{2}\left(x-4\right)\ =\ 2x\ +\ 10$

a)

Equation

b)

Expression

34.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

35.

Grace has $45 at most in her purse.

a)

g<45

b)

g>45

c)

g≤45

d)

g≥45

36.

My sister plans to sell more than 250 boxes of cookies.

a)

c>250

b)

c<250

c)

c≤250

d)

c≥250

37.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

38.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

39.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

40.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

41.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

42.

Evaluate 4y if y = 3

a)

7

b)

12

43.

Evaluate m² if m = 5

a)

10

b)

25

44.

Evaluate 2r + 1 if r = -3

a)

-5

b)

5

c)

7

d)

-7

45.

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

a)

12

b)

30

c)

54

d)

60

46.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

47.

Evaluate the expression when h = -6 .

19 + h

a)

-13

b)

-1

c)

7

d)

13

48.

Evaluate x²+ 2x - 1 when x = -3

a)

-2

b)

2

c)

16

d)

-15

49.

Evaluate x² when x = -2

a)

4

b)

-4

c)

2

d)

-2

50.

a²- b²Evaluate if a=4 and b =2

a)

4

b)

20

c)

-4

d)

12

51.

Evaluate 3b + 2d
when
a = 1, b = 3, d = -2

a)

3

b)

5

c)

0

d)

2

52.

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

a)

-100

b)

100

c)

-56

d)

56

53.

Evaluate the expression for the given value of the variable.
3x + 5 when x = 5

a)

18

b)

20

c)

200

d)

15

54.

Which is NOT an equation?

a)

x+14=32

b)

10-2x=10+5x

c)

3+x

d)

12=0.5x-3

55.

Evaluate the expression below for x=16.

$\frac{x}{2}$

a)

32

b)

8

c)

14

d)

18

56.

Evaluate the expression below for h=7.

3h

a)

21

b)

37

c)

4

d)

14

57.

Evaluate the expression below for b=7.

$b-5$

a)

2

b)

75

c)

-12

d)

12

58.

Evaluate the expression below for y=6.

$8y-7$

a)

41

b)

47

c)

79

d)

1

59.

Which has the same absolute value as -55?

a)

0

b)

-1

c)

1

d)

55

60.

Is absolute value always positive?

a)

yes

b)

no

61.

Which statement is true?

a)

The absolute value of 3 is -3

b)

The opposite of 7 is 7

c)

The absolute value of 5 is equal to the opposite of 5

d)

The opposite of -4 is equal to the absolute value of -4

62.

|-20|

a)

20

b)

-20

63.

| –3 |

a)

3

b)

-3

c)

0.30

d)

30

64.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

65.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

66.

Compare |-5| to the |-10|

a)

|-5| > |-10|

b)

|-5| = |-10|

c)

|-5| < |-10|

67.

What is the absolute value of |-37|.

a)

0

b)

37

c)

-37

d)

30

68.

What is the absolute value of |572|.

a)

275

b)

-572

c)

57

d)

572

69.

The absolute value of 79 is 79.

a)

False

b)

True

70.

The absolute value of -3 is the distance between:

a)

3 and -3 on the number line

b)

-3 and 0 on the number line

c)

1 and 3 on the number line

d)

1 and -3 on the number line

71.

a)

|10| = 10

b)

|-10| = 10

c)

|-10| = -10

d)

-|10| = 10

72.

What is the absolute value of -1/5?

a)

1/5

b)

-1/5

c)

0

73.

A negative divided by a negative is a ________

a)

positive

b)

negative

74.

A negative multiplied by a negative is a ________

a)

positive

b)

negative

75.

A negative multiplied by a positive is a ________

a)

positive

b)

negative

76.

-5 x 2 =

a)

-3

b)

-10

c)

-15

d)

10

77.

-7 x (-11) =

a)

77

b)

-18

c)

-77

d)

-70

78.

-12 x 0 =

a)

-129

b)

-1

c)

129

d)

0

79.

9 x (-6) =

a)

-63

b)

3

c)

-54

d)

54

80.

5 x (-7) =

a)

-35

b)

-48

c)

48

d)

56

81.

-10 x 3 =

a)

-9

b)

3

c)

-1

d)

-30

82.

18 ÷ −9 =

a)

-2

b)

2

c)

162

d)

-162

83.

−27 ÷ −9 =

a)

3

b)

-3

c)

243

d)

-243

84.

-14 ÷ 7 =

a)

-2

b)

2

c)

98

d)

-98

85.

Going left on the number line means what?

a)

Negative

b)

Positive

86.

Going right on the number line means what?

a)

Positive

b)

Negative

87.

A mountain climber climbed down a cliff 10 metres at a time. He did this 5 times in one day. What was the overall change in his elevation?

a)

-50m

b)

150m

c)

50m

d)

-150m

88.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

89.

What is the next step you should take?

1 + 18n = 33

a)

subtract 1 to both sides

b)

collect the numbers to the right

c)

add 1 to both sides

d)

multiply 18 to both sides

90.

What is the next step you should take?

-11b + 8 = -3

a)

subtract 8 from both sides

b)

add -3 to both sides

c)

divide 8 to both sides

d)

multiply 3 to both sides

91.

What is the next step you should take?

-11x = -11

a)

add 11 to both sides

b)

subtract 11 from both sides

c)

divide both sides by 11

d)

divide both sides by -11

92.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

93.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

94.

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

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

95.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

96.

2c - 12 = 9c + 2

a)

14

b)

2

c)

-2

97.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

98.

8 - 9t = 21t - 17

a)

t = 6/5

b)

t = 5/6

c)

t = 1

99.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

100.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

101.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

102.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

103.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

104.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

105.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

106.

Evaluate

2^2 = ?

a)

2

b)

4

c)

6

d)

8

107.

Evaluate

3^3 = ?

a)

6

b)

9

c)

27

d)

104

108.

Evaluate

2^3 = ?

a)

2

b)

4

c)

6

d)

8

109.

Evaluate

1^50 = ?

a)

1

b)

51

c)

1,000,000

d)

50

110.

What is the exponent form for the factors
5 x 5 x 5?

a)

3⁵

b)

5³

111.

What are the factors for 5⁴?

a)

5 x 5 x 5

b)

4 x 4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5

112.

What operation do you use with exponents?

a)

addition

b)

subtraction

c)

multiplication

d)

division

113.

What is the exponential form of
4 x 4 x 4 x 4 x 4 x 4

a)

6⁴

b)

4²

c)

4⁶

d)

4 x 6

7th Grade Review

Total questions: 113

Worksheet time: 9hrs 25mins

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