Free Printable Year 7 - Algebra Revision

1.

Identify the coefficient in the expression
4m + n + 2

a)

2

b)

4

c)

m

d)

n

2.

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

a)

5

b)

2

c)

4

d)

3

3.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

4.

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

a)

3

b)

4

c)

5

d)

6

5.

A term can be made up of which of the following?

a)

a number

b)

a variable

c)

a coefficient with a variable

d)

all of the above

6.

Identify the constant in the expression
4y + 2 + x

a)

x

b)

y

c)

4y

d)

2

7.

How is the number 9 best described in the expression
9m + 3n + 4

a)

coefficient

b)

variable

c)

constant

d)

term

8.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

9.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

10.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

11.

What is the coefficient of y?
8 + 5x - y

a)

8

b)

-1

c)

5

d)

1

12.

In the expression 4x - 12, what is 4x?

a)

coefficient

b)

constant

c)

term

d)

variable

13.

x,y,a,s,t... These are called

a)

terms

b)

variables

c)

constants

d)

coefficients

14.

Write the following term/expression in algebraic form:

The sum of x, y, and z

(a)

15.

Write the following term/expression in algebraic form:

The product of 7 and d

(a)

16.

Write the following term/expression in algebraic form:

b is multiplied by a

(a)

17.

Write the following term/expression in algebraic form:

5 is subtracted from t, then the result is multiplied by 2

(a)

18.

Write an expression for the following situation:

It costs $5 to get into the county fair. It costs $2 for one ride ticket. How much will you spend to go to the fair and purchase t tickets?

(a)

19.

Write an expression for the following situation:

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your siblings. How much will each of you receive if there are c children?

(a)

20.

Write an expression for the following situation:

A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?

(a)

21.

triple the sum of x and 5

a)

3 + x + 5

b)

3 ∙ x + 5

c)

3(x + 5)

d)

(3x) + 5

22.

half of a number, c

a)

c ÷ 2

b)

½ ÷ c

c)

c ÷ ½

d)

c + ½

23.

u decreased by 17

a)

17 - u

b)

u - 17

c)

u + 17

d)

u ÷ 17

24.

the product of y and 7

a)

y x 7

b)

y ∙ 7

c)

y + 7

d)

y ÷ 7

25.

twice h increased by 5

a)

2 + h + 5

b)

h ∙ h + 5

c)

5 ∙ h ∙ 2

d)

2h + 5

26.

What is 5 less than the product of 6 and s?

a)

6s - 5

b)

5 - 6s

c)

5 + 6 - s

d)

6 - s -5

27.

What is a number decreased by seventeen?

a)

n + 17

b)

n - 17

c)

17 + n

d)

17 - n

28.

What is the quotient of sixteen and a number?

a)

n ÷ 6

b)

6 ÷ n

c)

n ÷ 16

d)

16 ÷ n

29.

What is the sum of 14 and x?

a)

x - 14

b)

14(x)

c)

14 + x

d)

14/x

30.

What are the variables of 7x+6y-9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

31.

Product of 4 and p

a)

4/p

b)

4p

c)

12/4p

d)

12/4x

32.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

33.

If $a=3$ , find $7-a$

a)

2

b)

3

c)

4

d)

5

34.

If $b=10$ , find $\frac{40}{b}$ .

a)

10

b)

2

c)

30

d)

4

35.

If $j=4$ , find $2j+3$

a)

27

b)

11

c)

12

d)

9

36.

If $k=5$ , find $\frac{k+3}{4}$

a)

$\frac{53}{4}$

b)

$2$

c)

$4$

d)

$8$

37.

If $r=4,\ s=8$ , find $\frac{5r^2}{s}$

a)

6

b)

8

c)

10

d)

12

38.

If p = 3 and q = 5, find p + q + 2

a)

12

b)

10

c)

8

d)

11

39.

What is the value of 7a + 3 if a = -2?

a)

-11

b)

11

c)

10

d)

-10

40.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

41.

if a = 5 what is the value of 6a+2

(a)

42.

Combine like terms:

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

43.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

44.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

45.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

46.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

47.

Simplify: 4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

48.

Simplify:
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

49.

Combine like terms:

x+y+xy+x

a)

3xy

b)

2x+xy+y

c)

2xy+x

d)

3x+2y

50.

10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

7x + 17

d)

-7x + 17

51.

$5\div h$

a)

$\frac{5}{h}$

b)

$\frac{h}{5}$

c)

$5h$

d)

$h5$

52.

a x b

a)

a x b

b)

a + b

c)

ab

d)

ba

53.

$f\times g\times3$

a)

$fg^3$

b)

$fg3$

c)

$3fg$

d)

$3gf$

54.

$h\times h\times h$

a)

$h^3$

b)

$h3$

c)

$h\times3$

d)

$3h$

55.

$t\times t\times t\times t$

a)

$t4$

b)

$t^4$

c)

$4t$

d)

$tttt$

56.

-6(m+10)

a)

-6m+10

b)

-6m-10

c)

-16m

d)

-6m-60

57.

5(2p+1)+2p

a)

12p+1

b)

17p

c)

14p+1

d)

12p+5

58.

4(4x-4)+5(2x-1)

a)

26x-21

b)

26x-5

c)

26x-11

d)

26x+21

59.

-2y-1-(2y+1)

a)

0

b)

-4y-2

c)

-4y+2

d)

-4y

60.

30xy+10x+3yx-10x

a)

33xy

b)

33yx+20x

c)

40xy-7x

d)

33xy-20x

61.

Collect like terms to simplify the following:

6t² − 6g − 5t² + 2g − 7

a)

t² − 4g − 7

b)

11t² − 8g − 7

c)

22t³ − 7

d)

− 7

62.

Simplify.
$\frac{8s^6}{4s^3}$

a)

$2s^3$

b)

$4s^3$

c)

$2s^2$

d)

$4s^2$

63.

Simplify.
$\frac{7p^3}{5p}$

a)

$2p^2$

b)

$2p^3$

c)

$\frac{7}{5}p^3$

d)

$\frac{7}{5}p^2$

64.

Simplify.
$\frac{-y^8}{6y^2}$

a)

$-6y^6$

b)

$-\frac{1}{6}y^6$

c)

$-6y^4$

d)

$-\frac{1}{6}y^4$

65.

$-a\times-b\times-c=$

(a)

66.

$5m\times2n\times-3=$

(a)

67.

$\frac{6x^3y^2}{6x}=$

a)

0

b)

$x^2y^2$

c)

$x^3y^2$

d)

$\frac{y^2}{x}$

68.

$-5\times2x\times-2=$

(a)

69.

$\frac{8xy}{4x}=$

(a)

70.

$-2x\times3y\times4=$

(a)

71.

Simplify:

\frac{30y}{40y}

a)

$\frac{30}{40}$

b)

$\frac{3}{4}$

c)

$\frac{3y}{4}$

d)

$\frac{30}{40y}$

72.

$\frac{10xy}{12y}$

a)

5x/6

b)

x/2y

c)

x/2

d)

5xy/6

73.

Write a simplified expression for the area of the rectange. Recall that rectangle area = length × width.

(a)

74.

$\frac{9x^2y^2z}{6xy^2}=$

a)

$\frac{3xz}{2}$

b)

$\frac{3x^2y^2z}{2xy^2}$

c)

$\frac{9xz}{6}$

d)

$\frac{3xyz}{2xy}$

75.

$\frac{2a^2}{4}=$

a)

$\frac{a^2}{2}$

b)

$\frac{a^2}{4}$

c)

$2a^2$

d)

$\frac{2}{4}$

76.

$\frac{abc}{bc}=$

a)

$a$

b)

$\frac{a}{bc}$

c)

$\frac{1}{a}$

d)

$abc$

77.

What is the simplified version of $\frac{4x^3}{140x}$ ?

a)

$35x^2$

b)

$\frac{\ 35x^2}{x}$

c)

$\frac{\ x^2}{35}$

d)

$\frac{35}{x^2}$

78.

4(3a + b) + 7f + 3f + 9

a)

7a + 4b + 10f + 9

b)

12a + 4b + 10f + 9

c)

4 + 11f + 9

d)

7ab + 10f + 9

79.

Expand and Simplify:

$\left(2x-3\right)^2-x\left(x+1\right)$

a)

$3x^2-13x+9$

b)

$4x^2-15x+9$

c)

$3x^2-11x+9$

d)

$5x^2-13x+12$

80.

$3\left(x+2\right)\ +2\left(x+1\right)=$

(a)

81.

-6(m+10)

a)

-6m+10

b)

-6m-10

c)

-16m

d)

-6m-60

82.

-4(2h + 3)

a)

-8h - 12

b)

-8h - 3

c)

-8h + 3

d)

-8h +12

83.

2(h + 3) + 3(h + 4)

a)

5h + 18

b)

5h + 7

c)

5h + 10

d)

5h + 14

84.

5(2h + 1) - 2(h + 2)

a)

8h + 1

b)

8h - 1

c)

8h + 3

d)

8h +9

85.

Like terms

a)

terms without a variable

b)

parts of an expression separated by addition or subtraction

c)

equality in value

d)

terms with the same variable raised to the same power

86.

constant

a)

a variable without a coefficient

b)

a number without a variable

c)

the numerical factor of a variable term

d)

the noise by the fan in our classroom

87.

Expand -5(4v + 3)

a)

20v - 15

b)

-54v - 53

c)

-20v + 15

d)

-20v - 15

88.

Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expression represents the number of photos on each page?

a)

p / 60

b)

60 / p

c)

60 + p

d)

60p

89.

Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings.

a)

s + 40

b)

40s

c)

40 - s

d)

40/s

90.

x + y = 50

a)

expression

b)

equation

91.

Create an expression to represent the following real-world word problem.

You spend $20 for a shirt and d dollars on jeans

a)

20 - d

b)

20 + d

c)

d - 20

d)

20d

92.

Create an expression to represent the following real-world word problem.

Five times Mike's age, m, increased by 9

a)

5(m + 9)

b)

9(5 + m)

c)

9m + 5

d)

5m + 9

93.

Write the following term/expression in algebraic form:

5 is subtracted from t, then the result is multiplied by 2

(a)

94.

A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?

a)

8h - 20

b)

8h + 20

c)

8 + 20

d)

8 - 20h

95.

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your sisters. How much will each of you receive if there are c children?

a)

100 - c

b)

100 + c

c)

100 ÷ c

d)

100c

96.

Tracy has 16 oatmeal cookies. She splits them evenly among b bags. Choose the expression that shows how many cookies are in each bag.

a)

b - 16

b)

16

c)

16b

d)

16 ÷ b

97.

Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

a)

35 - b

b)

b

c)

35

d)

b + 35

98.

You and four friends plan a surprise party. Each of you contributes the same amount of money m for food. What is the algebraic expression for the total amount of money contributed for food?

a)

5m

b)

4 + m

c)

5 / m

d)

4m

99.

Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

a)

35 - b

b)

b

c)

35

d)

b + 35

100.

Simplify $\frac{2a+3a}{a}$

a)

$5a$

b)

$5$

c)

$\frac{5a}{a}$

d)

$5a^2$

101.

If $a=2,\ b=3$ calculate the value of $2a+3b$

a)

$31$

b)

$55$

c)

$13$

d)

$10$

102.

If $a=-2,\ b=3$ calculate the value of $2a+3b$

a)

$5$

b)

$4$

c)

$11$

d)

$10$

103.

If $a=1,\ b=2\ and\ c=-2$ calculate the value of $abc$

a)

-4

b)

$4$

c)

$22$

d)

$-22$

104.

Find the rule for the table.

a)

3x + 3

b)

2x + 3

c)

3x - 1

d)

4x + 1

105.

Find the rule for the table.

a)

4x + 5

b)

3x + 5

c)

3x + 4

d)

5x + 3

106.

Find the rule for the table.

a)

3x + 2

b)

4x + 2

c)

4x + 1

d)

5x - 1

107.

Find the rule for the table.

a)

3x - 1

b)

3x + 1

c)

2x + 2

d)

2x - 1

108.

Find the rule for the table.

a)

2x - 2

b)

x + 1

c)

2x

d)

2x - 1

109.

Find the rule for the table.

a)

9x + 4

b)

10x

c)

10x + 1

d)

11x - 2

110.

Find the rule for the table.

a)

x - 1

b)

2x - 6

c)

3x - 11

d)

2x - 5

111.

Find the rule for the table.

a)

2x - 7

b)

x - 3

c)

3x - 12

d)

2x - 6

112.

Find the rule for the table.

a)

2x - 1

b)

3x - 1

c)

2x + 4

d)

3x + 1

113.

Find the rule for the table.

a)

-2x - 5

b)

2x - 5

c)

-2x - 3

d)

2x - 3

114.

y=x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

115.

Which table of values can be defined by y=x+5?

a)

a

b)

b

c)

c

116.

Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

117.

FInd the rule for the following set of values:

a)

y = -x + 1

b)

y = x - 1

c)

y = -x - 1

d)

y = x + 1

118.

FInd the rule for these table of values

a)

y = 2x + 3

b)

y = 2x - 3

c)

y = 3x + 2

d)

y = 3x - 2

119.

Which equation describes the table shown?

a)

y = 1x + 2

b)

y = 1x - 2

c)

y = 2x + 1

d)

y = -2x + 2

120.

Which equation matches this table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

Year 7 - Algebra Revision

Total questions: 120

Worksheet time: 2hrs 58mins

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