Free Printable Reviewer in Math 7

1.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

2.

Translate: twelve less than a number

a)

$12-x$

b)

$x-12$

c)

$12x$

d)

$x+12$

3.

Translate: the sum of eight and the product of a number and nine

a)

$9x+8$

b)

$8x+9$

c)

$\frac{x}{9}+8$

d)

$9x-8$

4.

Translate: the square of the sum of a number and sixteen

a)

$x^2+16$

b)

$\left(x+16\right)^2$

c)

$\left(x-16\right)^2$

d)

$x^2-16$

5.

Match the following:

a)

$\sqrt[]{x}$

1.

the square root of a number

b)

$x^2$

2.

a number squared

c)

$\sqrt[3]{x}$

3.

the cube root of a number

d)

$x^3$

4.

a number cubed

6.

Translate: seven less than a number squared

a)

$7-x^2$

b)

$\left(x-7\right)^2$

c)

$x^2-7$

d)

$x^2+7$

7.

Translate: the sum of eleven and the square root of a number

a)

$\sqrt[]{x+11}$

b)

$\sqrt[]{x}+11$

c)

$x^2+11$

d)

$\left(x+11\right)^2$

8.

Translate: five times the sum of a number and four

a)

$5x+4$

b)

$5\left(x+4\right)$

c)

$5\left(4x\right)$

d)

$4\left(x+5\right)$

9.

Translate: the product of three and four less than a number

a)

$3\left(4-x\right)$

b)

$3\left(x-4\right)$

c)

$3x-4$

d)

$4-3x$

10.

Translate: thirteen less than the product of negative six and a number

a)

$13--6x$

b)

$13-6x$

c)

$6x-13$

d)

$-6x-13$

11.

Translate: the sum of the cube root of a number and five

a)

$\sqrt[3]{x+5}$

b)

$\sqrt[3]{x}+5$

c)

$\left(x+5\right)^3$

d)

$x^3+5$

12.

Translate: the square of the difference of a number and twenty

a)

$x^2-20$

b)

$\left(x-20\right)^2$

c)

$\left(20-x\right)^2$

d)

$20-x^2$

13.

The difference of a number t and 2

a)

t + 2

b)

t - 2

c)

2 - t

14.

The sum of a number k and a number j reduced by 10

a)

k + j - 10

b)

(k + j) + 10

c)

(k - j) - 10

d)

(k + j) - 10

15.

8 decreased by the sum of 3 and a number c

a)

8 - (3 - c)

b)

8 - 3 - c

c)

8 - (3 + c)

d)

8 - 3 + c

16.

"Combined" represents what operation?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

17.

Translate the verbal phrase: the sum of twice the number m and n

a)

$2\left(m+n\right)$

b)

$2m+n$

c)

$m^2+n^2$

d)

$\left(m+n\right)^2$

18.

twice a number minus 25 is 2

a)

2b - 25 = 2

b)

25 - 2b = 2

c)

25b - 2 = 2

d)

2 - 25b = 2

19.

9 minus the product of 3 and y

a)

3y - 9

b)

3 - y = 9

c)

9 - 3y

d)

9 + 3y

20.

Translate this phrase into an algebraic expression.
The quotient of four and a number increased by ten.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

21.

Translate this phrase into an algebraic expression.
The difference of 100 and the sum of 6 and w

a)

100 - 6 + w

b)

100 / (6 + w)

c)

100 - (6 + w)

d)

100 / 6 + w

22.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

23.

In the expression below, which is the constant?

$10-y$

a)

-y

b)

1

c)

10

d)

There are no constants in the expression.

24.

Identify the variable in the expression.

$2b^2-4b+6$

a)

2b

b)

b

c)

6

d)

a

25.

In the expression below 2 and 3 are the ___

$2x+3y-4$

a)

Variables

b)

Constants

c)

Coefficents

d)

Terms

26.

How many terms are in the expression below?

$m^2-3n+5x-12$

a)

2

b)

4

c)

3

d)

1

27.

___ are the parts of an algebraic expression that are separated by operations.

a)

Variable

b)

Constant

c)

Coefficent

d)

Terms

28.

A ___ is a symbol used to represent a quantity that can change.

a)

Variable

b)

Constant

c)

Coefficient

d)

Term

29.

A ___ is a number that is multiplied by the variable in an algebraic expression.

a)

Variable

b)

Constant

c)

Coefficient

d)

Term

30.

Classify

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

31.

Polynomial or not?

a)

polynomial

b)

not a polynomial

32.

Classify by the degree and number of terms

$3x^4-5x^2+3$

a)

Quartic Polynomial

b)

Quartic Trinomial

c)

Quadratic Trinomial

d)

Quadratic Ploynomial

33.

Which of the following is not an expression

a)

5

b)

2x - 4

c)

7x - 4 = 32

d)

$\frac{3s}{4}$

34.

Is 5x + 7 a monomial?

a)

Yes

b)

No

35.

What are the steps to solve the following expression?

50 − 16 ÷ 2 x (12 + 4)

a)

parenthesis

multiplication

subtraction

division

b)

parenthesis

division

multiplication

subtraction

c)

parenthesis

multiplication

division

subtraction

d)

parenthesis

subtraction

multiplication

division

36.

12 ÷ 2 x 3 + ( 4³ - 12 ) =

(a)

37.

What is the correct way to simplify this expression?

6 x (12 + 3)

a)

Add 3 and 12, and then add that sum to 6.

b)

Add 3 and 12, and then multiply that sum by 6.

c)

Multiply 6 by 12, and then add 3 to that product.

d)

Multiply 6 by 12, and then multiply 6 by 3. Then find the difference between these two products.

38.

(11 x 4) + 9

a)

53

b)

63

c)

83

d)

143

39.

Which statement describes how to simplify 8 + [4 x (3 + 6)]

a)

Add 8 and 4, multiply the sum by 3, and then add 6.

b)

Multiply 4 by 3, add 6 to that product, and then add that to 8.

c)

Add 8 and 4, add 3 and 6, and then multiply both sums together.

d)

Add 3 and 6, multiply the sum by 4, and then add 8 to that product.

40.

Kamiko wrote a problem for homework. The answer to her problem is 33. Which problem did Kamiko write?

a)

3 x (4 + 5) + 6 =

b)

(3 x 4) + 5 + 1 =

c)

2 x 4 + (5 + 6) =

d)

3 x 4 + 5 + 6 =

41.

Ms. Barrientos wrote these directions on the board.

Add 6 and 3

Multiply the sum by 9.

Subtract 4 from the product.

Which expression represents Ms. Barrientos's directions?

a)

6 + 3 x 9 - 4

b)

6 + (3 x 9) - 4

c)

6 + 3 x (9 - 4)

d)

(6 + 3) x 9 - 4

42.

Which operation should Kenji do first to simplify the number expression?

9 - 2[(3 - 2) + 6]

a)

3 - 2

b)

2 + 6

c)

2 x 3

d)

9 - 2

43.

What is the first step to complete in simplifying this expression?

8 [(40 - 15) $\div$ 5] + 3

a)

Add 5 and 3.

b)

Divide 15 by 5.

c)

Multiply 8 by 40.

d)

Subtract 15 from 40.

44.

Solve: 5 + 3 x 8

a)

64

b)

120

c)

39

d)

29

45.

a)

48

b)

54

c)

320

d)

38

46.

a)

20

b)

40

c)

30

d)

50

47.

a)

118

b)

120

c)

108

d)

100

48.

Solve . |-12| + 8 - 20

a)

-24

b)

1

c)

24

d)

0

49.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

50.

What step would I do second ? (4-2) x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

51.

2 + (9²- 4)

a)

16

b)

77

c)

79

52.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

53.

3 x 8 - (9 - 7)³

a)

16

b)

18

c)

0

54.

Which of the following has the parentheses placed properly to have an answer of 6?

a)

(32 + 16) ÷ 8

b)

32 + (16 ÷ 8)

c)

32 + 16 ÷ 8

d)

(32 + 16 ÷ 8)

55.

Which of the following numerical expressions does NOT simplify to 34? NOTE: the * represents multiplication

a)

14 + (5 * 4)

b)

3[14 - (2 + 4)]

c)

58 - 4(10 - 4)

d)

[9 + (3 * 7)] + 4

56.

a)

1

b)

4

c)

144

d)

288

57.

a)

48

b)

54

c)

320

d)

38

58.

a)

143

b)

153

c)

163

d)

200

59.

a)

20

b)

40

c)

30

d)

50

60.

a)

44

b)

45

c)

46

d)

46

61.

a)

43

b)

44

c)

46

d)

81

62.

[5.4F]

a)

15

b)

25

c)

16

d)

35

63.

a)

60

b)

118

c)

70

d)

50

64.

a)

118

b)

120

c)

108

d)

100

65.

Evaluate 4y

y = 3

a)

7

b)

12

66.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

67.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

68.

Identify the variable(s) in the expression 3x + 9

a)

x

b)

y

c)

9

d)

3x

69.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

70.

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

71.

What would be the second step in this problem? (3 + 4) 9 + 3 =

a)

parenthesis

b)

multiplication

c)

addition

d)

exponent

72.

(6 + 2) (3 + 2)

a)

18

b)

26

c)

16

d)

40

73.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

74.

Write an algebraic expression for "12 more than number".

a)

x + 12

b)

12x

c)

x - 12

75.

Write an algebraic expression for "8 less than a number".

a)

8x

b)

x - 8

c)

8 - x

76.

Evaluate 2r + 1

r = 3

a)

24

b)

5

c)

7

d)

8

77.

Evaluate m²

m = 7

a)

9

b)

14

c)

49

d)

51

78.

Evaluate 5m + 7

m = 5

a)

12

b)

25

c)

32

79.

Evaluate b² + 4

b = 3

a)

10

b)

12

c)

13

d)

11

80.

p + 3

when p = 8

a)

5

b)

9

c)

10

d)

11

81.

2y

when y = 8

a)

16

b)

12

c)

10

d)

8

82.

2k - 6

when k = 10

a)

6

b)

14

c)

20

d)

8

83.

3(x + 4)

when x = 2

a)

10

b)

24

c)

18

d)

12

84.

4x - 2

when x = 6

a)

20

b)

21

c)

22

d)

23

85.

6(2x + 3)

when x = 4

a)

108

b)

51

c)

24

d)

66

86.

21 + 7x

when x = 2

a)

30

b)

27

c)

50

d)

35

87.

9(5h - 2)

when h = 2

a)

92

b)

48

c)

68

d)

72

88.

6y + 30

when y = 5

a)

30

b)

60

c)

71

d)

82

89.

10g + 8g + 2

when g = 10

a)

182

b)

190

c)

1820

d)

500

90.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

91.

12 ÷ a + 8
when a = 4

a)

1

b)

11

c)

12

d)

2

92.

2x + x²; for x = 3

a)

12

b)

15

93.

Identify the degree of the polynomial

3x⁴ + 2x² - 7

a)

1st degree

b)

2nd degree

c)

3rd degree

d)

4th degree

94.

Identify the type of polynomial shown

2x² + 3x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial with more than 3 terms

95.

The largest exponent found in the polynomial

a)

Term

b)

Degree

c)

Constant

d)

Leading Coefficient

96.

A term that has no variable

a)

Term

b)

Degree

c)

Constant

d)

Leading Coefficient

97.

Standard form is arranging the terms of a polynomial in what order?

a)

highest to lowest coefficient

b)

highest to lowest degree

c)

lowest to highest coefficient

d)

lowest to highest degree

98.

Which expressions are NOT polynomials. Choose all that apply.

a)

6x² - 14

b)

$\frac{6}{x^2-4}$

c)

²/₃x - 7

d)

3x^-3 + 4x² - 2x

99.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Cubic

d)

Quadratic

100.

Classify by degree of polynomial:
3x² – 8x + 1

a)

Quartic

b)

Linear

c)

Quadratic

d)

Cubic

101.

What is a polynomial?

a)

A series of terms joined together by addition or subtraction

b)

The leading term of an equation

c)

The number associated with a variable

d)

A number and a variable combined

102.

What is the degree of 8

(a)

103.

Is 0 a polynomial?

a)

yes

b)

No

104.

The largest exponent found in the polynomial

a)

Term

b)

Degree

c)

Constant

d)

Leading Coefficient

105.

Simplify the expression:
( - 8v⁴ + 4v³ + 3v)
+ (- 8v⁴+ 4v - 7)

a)

-17v⁴ + 4v³ + 2v - 7

b)

-16v⁴ + 4v³ + 10v - 7

c)

-16v⁴ + 4v³ + 7v - 7

d)

-16v⁴ + 4v³ + 2v - 7

106.

Simplify the expression:
(- 6p⁴ + p³ + 1)
- ( 8p⁴- 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

107.

Find the sum.
(2x² + 5x - 7) +
(- 4x² + 6x + 3)

a)

2x²+ 3x + 1

b)

-2x²- 11x - 4

c)

2x² + 5x - 7

d)

-2x² + 11x - 4

108.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

109.

Find the difference.
(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ -3p² +16p -10

d)

4p³ +3p² + 16p + 10

110.

Solve the following problem.
(3x - 4) + (12x + 10)

a)

x - 12

b)

15x + 6

c)

36x + 40

d)

17x + 9,000

111.

Solve the following problem.
(9x + 17) + (19x - 27)

a)

28x + 44

b)

28x - 10

c)

-28x + 10

d)

-171x - 459

112.

Solve the following problem.
(13x + 30) - (20x + 6)

a)

-7x + 24

b)

-33x - 42

c)

133x + 36

d)

260x + 180

113.

Simplify the following expression
(r² + s²) – (5r² + 4s²)

a)

–4r² +5s²

b)

–4r² – 3s²

c)

–5r⁴ – 4s⁴

d)

–4r² + 3s²

114.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

115.

Simplify (2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

116.

Simplify (2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

117.

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

118.

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

a)

125 + 7x - 14x² +6x⁴

b)

6x⁴ -14x² - 7x +125

c)

125 + 14x² + 7x - 6x⁴

d)

-6x⁴+ 14x² + 7x - 125

119.

Is the polynomial in standard form?

7x³ – 8x² + 9

a)

yes

b)

no

120.

Find the Sum:

(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

121.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

122.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

123.

Simplify the expression:
(- 6p⁴ + p³ + 1)
- ( 8p⁴- 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

Reviewer in Math 7

Total questions: 123

Worksheet time: 31hrs 45mins

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