Free Printable Equations Explosion

1.

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

2.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

3.

A solution is...

a)

A variable that results in a true sentence

b)

A mathematical sentence showing two expressions are equal.

c)

Numbers expressed using exponents

d)

The value for the variable in an equation.

4.

Inverse Operations are operations which undo each other.

a)

True

b)

False

5.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

6.

What is the inverse operation of subtraction?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

7.

Which of the following is an equation?

a)

8z

b)

8z - 5

c)

8z = 2

d)

8 divided by x

8.

Select all of the equations that are true when

y=-3

a)

$5-3y=14$

b)

$2y-4y+9=15$

c)

$4y-7=19$

d)

$5y+3=-4y$

9.

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

10.

Solve for x.

2x-8=-8

a)

$x=8$

b)

$x=-12$

c)

$x=-8$

d)

$x=0$

11.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

12.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

13.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

14.

Solve 2x -7 = -23

a)

-8

b)

8

c)

-7

d)

18

15.

Solve for x.

6\left(x+2\right)=-36

a)

$x=-8$

b)

$x=5$

c)

$x=-4$

d)

$x=8$

16.

Solve for y.

5y-14=8y+4

a)

$y=6$

b)

$y=-\frac{18}{13}$

c)

$y=-6$

d)

$y=\frac{10}{3}$

17.

Solve for k.

12k-15=3\left(2k+3\right)

a)

$k=4$

b)

$k=2$

c)

$k=-4$

d)

$k=-2$

18.

Solve for x.

$10x+7=x-5$ Simplify your answer

a)

$-\frac{12}{9}$

b)

$x=-4$

c)

$x=-3$

d)

$x=-\frac{4}{3}$

19.

Solve for h.

3h+2\left(4h-4\right)=3

a)

$h=4$

b)

$h=2$

c)

$h=3$

d)

$h=1$

20.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

21.

15x + 54 – 39x = -90

a)

1.5

b)

8/3

c)

-2/3

d)

6

22.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

23.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

24.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

25.

12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

26.

An equation...

a)

has an equal sign

b)

does NOT have an equal sign

27.

Which equation best describes the situation below?

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

28.

Solve for y in the following equation:

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

29.

What do you need to do to both sides to isolate the variable?

$16\ =\ \frac{k}{11}$

a)

Divide both sides by 11

b)

Subtract 11 from both sides

c)

Multiply both sides by 11

d)

Add 11 to both sides

30.

x + 12 = 20

a)

x= 32

b)

x = 12

c)

x = 8

d)

42

31.

What is the solution of 42 = 7f?

a)

294

b)

35

c)

49

d)

6

32.

Solve.
$\frac{y}{9}=\ 3$

a)

12

b)

27

c)

6

d)

3

33.

$\frac{2w}{3}\ =\ 10$

a)

$6\ \frac{2}{3}$

b)

15

c)

30

d)

$10\ \frac{2}{3}$

34.

Write an equation to represent the problem given:
After paying $5.12 for a salad, Nora has $27.10. How much money did she have before buying the salad?

a)

n + $5.12 = $27.10

b)

n - $5.12 = $27.10

c)

n - $5.12 = -$27.10

d)

$5.12 - n = $27.10

35.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

36.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

37.

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

a)

2

b)

1.2

c)

12

d)

-2

38.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

39.

Solve the equation. Check your answer.
-2.5b = 20.5

a)

8.2

b)

-0.12

c)

0.12

d)

-8.2

40.

-3 ( f - 8 ) = 39

a)

-21

b)

-10.3

c)

-5

d)

5

41.

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

a)

-90

b)

90

c)

18/5

d)

-18/5

42.

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

a)

3

b)

-3

c)

27

d)

-27

43.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

44.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

45.

-5 - 6a = -59

a)

a= 11

b)

a= -6

c)

a= 9

d)

a= 2

46.

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.

47.

Solve. -7x - 11 = 3

a)

2

b)

14

c)

-8

d)

-2

48.

$7+\frac{a}{3}=5$

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

49.

$33=4a-7$

a)

a=-10

b)

a=10

c)

a=4.5

d)

a=6.5

50.

Where/what is the mistake?

a)

Line 2 - You should add 12 to both sides.

b)

Line 4 - You should multiply both sides by the reciprocal.

c)

Line 4 - You should multiply both sides by the original fraction.

d)

Line 5 - There was a calculation error.

51.

How do you plan to enjoy your Easter Break?

4 lines

Equations Explosion

Total questions: 51

Worksheet time: 2hrs 7mins

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