Free Printable Year 7 Equations Revision

1.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

3.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

4.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

5.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

6.

Solve for x:
x + 8 = -3

a)

x = -5

b)

x = 5

c)

x = -11

d)

x = 11

7.

Solve for k:
6k = 30

a)

k = 36

b)

k = 24

c)

k = 180

d)

k = 5

8.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

9.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

10.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

11.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

12.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

13.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

14.

What is the inverse operation of subtraction?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

15.

What would be the best first step to solving the equation?
-6x=-24

a)

multiply both sides by -6

b)

divide both sides by -6

c)

add 6 to both sides

d)

subtract -6 from both sides

16.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

17.

What is the first inverse operation needed to solve for y?

2y - 254= 900

(think: what is step one?)

a)

subtraction

b)

addition

c)

multiplication

d)

division

18.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

19.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

20.

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

a)

c = 3.00 - 0.15m

b)

c = 0.15 + 3.00m

c)

3.00 = c + 0.15

d)

c = 3.00 + 0.15m

21.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

10x = 18

b)

4x + 6 = 18

c)

4 + 6x = 18

d)

not enough info

22.

-3 ( f - 8 ) = 39

a)

-21

b)

-10.3

c)

-5

d)

5

23.

$\frac{y}{5}+12=-6$

a)

-90

b)

90

c)

18/5

d)

-18/5

24.

$\frac{x}{-3}+12=21$

a)

3

b)

-3

c)

27

d)

-27

25.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

26.

Five times as many as seven is thirty-five

a)

5 x 7 = 35

b)

35 = 5 x 7

c)

5 + 7 = 35

d)

35 = 5 + 7

27.

Solve: 4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

28.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

29.

What is the definition of a coefficient?

a)

The letter used to represent a quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number in back of a variable

30.

Which of the following is an expression?

a)

6x + 2x = 6

b)

10 = 5x

c)

2x + 6x - 10

d)

6x² + 10 = 25

31.

Which of the following is an equation?

a)

6x + 2x - 6

b)

6x² + 10 = 25

c)

6x² + 10 - 25

d)

10y - 6 + 34u

32.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

33.

What is the second step in solving the following equation?
-3x + 5 = 20

a)

Subtract 5 from both sides

b)

Divide both sides by -3

c)

Divide both sides by 3

d)

add 3x to both sides

34.

Simplify: $-8\left(x-2\right)$

a)

$-8x+2$

b)

$8x+2$

c)

$-8x+16$

d)

$-8x-16$

35.

Find the value for x: $\frac{x}{2}=10$

a)

20

b)

5

c)

-20

d)

-5

36.

$4b+7=27$

What is the solution for the equation,

a)

-18

b)

5

c)

-19

d)

-9

37.

An equation always has an equals sign.

a)

True

b)

False

38.

When solving equations, we try to keep the equation UNBALANCED.

a)

True

b)

False

39.

When solving equations, we have to do different things to both sides.

a)

True

b)

False

40.

When solving equations, mathematicians want to get the variable (x) all by itself.

a)

True

b)

False

41.

If you add -6 to one side, what do you do to the other side?

a)

Subtract -6

b)

Subtract 6

c)

Add -6

d)

Subtract -6

42.

Solve the equation

6w = 24.

a)

w = 144

b)

w = 18

c)

w = 4

43.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

44.

Jo is thinking of a number. Four less than 9 times the number is 176. How could I find Jo's number?

a)

9x - 4 = 176

b)

4 - 9x = 176

c)

9x + 4 = 176

d)

4x + 9 = 176

45.

What is a variable?

a)

A number that represents an unknown value

b)

A letter that represents an unknown value

46.

A letter used to represent a number value in an equation

a)

term

b)

coefficient

c)

variable

47.

A number that does not change (it stands alone without any variable attached)

a)

constant

b)

coefficient

c)

variable

48.

5y = 7 is an example of an ____________

a)

expression

b)

equation

49.

To solve an equation, the goal is to __________ the variable on one side.

a)

Evaluate

b)

Leviate

c)

Isolate (To get alone)

50.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

51.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

52.

$-\left(3v+1\right)+7\left(6v+6\right)=-37$

a)

$4$

b)

$0$

c)

$2$

d)

$-2$

53.

w/5 = -10

a)

w = -50

b)

w = 50

c)

w = 2

d)

w = -2

54.

11b+7=40

a)

2

b)

1

c)

4

d)

3

55.

Solve for x:
52 = -5x - 3

a)

x = 11

b)

x = -11

c)

x = 275

d)

x = -275

56.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

57.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

58.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

59.

Which equation has x =2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

60.

Is 5 a solution for 3x + 4 = 19

a)

yes

b)

no

61.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

62.

c/2 = -14

a)

c = -7

b)

c = -7

c)

c = -28

d)

c = 28

63.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

64.

Solve for x.

a)

55

b)

60

c)

15

d)

35

65.

Which of the following is an equation?

a)

4x - 7

b)

3 - 7t

c)

7x = 49

d)

43x - 9

66.

What is the inverse operation you would use to solve:
6x = 36

a)

Multiply

b)

Divide

c)

Add

d)

Subtract

67.

What is the inverse operation you would use to solve:
6x = 36

a)

Multiply

b)

Divide

c)

Add

d)

Subtract

68.

Donald washes cars over the weekend. He charges $13 for each car. He made $156 this weekend. How many cars did he wash? Choose an equation you could use to solve this word problem.

a)

13c = 156

b)

c + 13 = 156

c)

c = 156 x 13

d)

c - 13 = 156

69.

One day Julie swam 46 laps in the pool. The next day she swam more. In total, she completed 87 laps in the two days. How many laps did she swim on day 2? Choose an equation you could use to solve this word problem.

a)

87 ÷ 46 = n

b)

n + 46 = 87

c)

n + 87 = 46

d)

n - 46 = 87

70.

Alvaro bought new textbooks. He divided his money equally between 5 new books. If he spent $75 on each book, how much did he pay for all the books? Choose an equation you could use to solve this word problem.

a)

75 ÷ t = 5

b)

t ÷ 5 = 75

c)

t - 75 = 5

d)

75 - t = 5

71.

Jenny brought $43.00 with her to the mall. After buying a few items on sale, she left the mall with $17.50. How much did Jenny spend at the mall? Choose an equation you could use to solve this word problem.

a)

17. 5 - m = 43

b)

43 + m = 17.5

c)

43 - m = 17.5

d)

17.5m = 43

72.

Solve 10p = 40

a)

p = 10

b)

p = 40

c)

p = 4

d)

p = 1/4

73.

Given the equation: 4c = 20, which of the following is a possible solution for c.

a)

c = 16

b)

c = 24

c)

c = 5

d)

c = 80

74.

What does 3x mean?

a)

A. Three times X

b)

B. Three divided by X

c)

C. Three and X

75.

Which operation will cancel out multiplication?

a)

A. Addition

b)

B. Subtraction

c)

C. Multiplication

d)

D. Division

76.

Which operation will cancel out multiplication?

a)

A. Addition

b)

B. Subtraction

c)

C. Multiplication

d)

D. Division

77.

Translate:
Four times a number plus six is 30.

a)

4 + 6 = 30

b)

4x + 6 = 30

c)

x + 4 times 6 = 30

d)

30 = 4x

78.

Write an equation.
Three times a number plus five times the same number is 40.

a)

3x + 5 = 40

b)

3x - 5 = 40

c)

3x + 5x = 40

d)

3x - 5x = 40

79.

Write an equation.
A number is doubled, then 9 is added. The result is 23.

a)

2x + 9 = 23

b)

2x - 9 = 23

c)

2x + 9x = 23
2x + 9x =23

d)

9 - 2x = 23

80.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

81.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It loses water at a rate of 25 gallons per minute

82.

Look at the table below to write an equation that matches the data.

a)

m=50 + w

b)

w= 50m

c)

w= 50 + m

d)

m= 50 - w

83.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

y = 2.75x + 4.25

What does 2.75 represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

84.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

85.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

86.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 15 + 0.20x

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

87.

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 15x + 40

b)

y = 40x + 15

c)

y = 15x

d)

y = 15x - 40

88.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

a)

40x + 20 = 340

b)

20x + 40 = 340

c)

20x - 40 = 340

d)

20 + 340 = 40x

89.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

a)

35x + 7 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

7x + 35 = 63

90.

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

a)

y = 12.50 + 30x

b)

y = 30 + 12.50x

c)

y = 12.50 + 30

d)

12.50x = 30

91.

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

a)

c = 0.12m + 8m

b)

c = 8m + 0.12m

c)

c = 0.12m + 8

d)

c = 0.20m

92.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

93.

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

a)

0.75x + 3y = 50

b)

y = 0.75x + 3

c)

y = 3x + 0.75

d)

3x + 0.75y = 50

e)

50 = -0.75x + y

94.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

95.

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

a)

y= 40

b)

y= 400

c)

y= 415

d)

y= 65

e)

y= 390

96.

The rental rate at Rent A Wreck is $30 per day plus $0.25 per mile driven.

How much would a 100 mile rental cost?

a)

$45

b)

$55

c)

$23

d)

$100

97.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

a)

The additional fee of $8.

b)

The initial fee of $25.

c)

The additional fee of $25.

d)

The initial fee of $8.

98.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

99.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

a)

The additional fee of $8.

b)

The initial fee of $25.

c)

The additional fee of $25.

d)

The initial fee of $8.

100.

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

a)

y = 40 + 2x

b)

y = - 2x + 40

c)

y = 2 + 40x

d)

y = 2 - 40x

Year 7 Equations Revision

Total questions: 100

Worksheet time: 6hrs 4mins

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