Free Printable Write and solve 2 step equations

1.

$\frac{x}{-2}+3=-3$

a)

$x=0$

b)

$x=12$

c)

$x=-3$

d)

$x=-6$

2.

$-4x+3=-29$

a)

$x=4$

b)

$x=6$

c)

$x=2$

d)

$x=8$

3.

$\frac{x}{-11}+8=6$

a)

$x=-22$

b)

$x=1$

c)

$x=11$

d)

$x=22$

4.

$-5x-1=-16$

a)

$x=3$

b)

$x=-4$

c)

$x=2$

d)

$x=5$

5.

\frac{x}{1}+3=33

a)

$x=9$

b)

$x=10$

c)

$x=-11$

d)

$x=30$

6.

14x-10=4

a)

$x=-8$

b)

$x=10$

c)

$x=1$

d)

$x=-14$

7.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

8.

-4x-7=-19

a)

$x=3$

b)

$x=-10$

c)

$x=-9$

d)

$x=12$

9.

\frac{x}{-1}+5=12

a)

$x=10$

b)

$x=-7$

c)

$x=-4$

d)

$x=3$

10.

$-6x-4=8$

a)

$x=-10$

b)

$x=14$

c)

$x=6$

d)

$x=-2$

11.

-2x-1=-7

a)

$x=-3$

b)

$x=7$

c)

$x=3$

d)

$x=-8$

12.

\frac{x}{6}-5=-2

a)

$x=24$

b)

$x=18$

c)

$x=2$

d)

$x=-2$

13.

$-5x-6=-16$

a)

$x=-2$

b)

$x=10$

c)

$x=-6$

d)

$x=2$

14.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

15.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

16.

-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

17.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

18.

4x+1=9

a)

1

b)

2

c)

3

d)

4

19.

14x-10=4

a)

$x=-8$

b)

$x=10$

c)

$x=1$

d)

$x=-14$

20.

-2x-1=-7

a)

$x=-3$

b)

$x=7$

c)

$x=3$

d)

$x=-8$

21.

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

a)

add 8 to both sides, then divide both sides by 5

b)

add 8 to both sides, then divide both sides by 40

c)

subtract 8 from both sides, then divide both sides by 5

d)

subtract 8 from both sides, then multiply both sides by 5

22.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

23.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

24.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

25.

Find the missing angle

a)

65

b)

75

c)

55

d)

50

26.

Inside any triangle the sum of all the angles in degrees is always:

a)

360

b)

90

c)

150

d)

|80

27.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

28.

What is a 2-step problem?

a)

An equation where 2 steps are needed to solve it.

b)

An equation where only one step is needed to solve it.

c)

A problem with only one operation present.

d)

A problem where you find the square-root of a number.

29.

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

30.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

7x+6=331

b)

13x=331

c)

6x+7=331

d)

331-7=6x

31.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

32.

Eight less than 7 times a number is the same as 4 more than 3 times the number

a)

x + 3 = x

b)

8 = x + 4 + 3

c)

8 - 7x = 4 + 3x

d)

7x - 8 = 3x + 4

33.

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.

34.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

35.

Did Sarah make an error? If so, which is the best description of her error?

a)

She didn't distribute correctly. The second step should read 3x - 12 = 24

b)

She didn't distribute correctly. The second step should read -3x - 12 = 24

c)

She didn't distribute correctly. The second step should read -3x + 12 = 24

d)

She didn't make an error.

36.

Solve for y.

a)

y = -5.6

b)

y = 5.6

c)

y = -8.75

d)

y = 8.75

37.

Reagan earned $5.00 for allowance. She bought an ice cream cone for $1.25 and a pack of stickers for 50 cents. How much money does Mandy have left?

a)

3.25

b)

6.75

c)

4.35

d)

11.75

38.

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

39.

Solve for x.

2(x + 15) = -6

a)

x = -10.5

b)

x = -18

c)

x = 18

d)

x = 10.5

40.

Solve for y.

6(y - 5) = 21

a)

x = 4.16

b)

x = 8.5

c)

x = -1.5

d)

x = 306

41.

-9r + 12 = -24

a)

12

b)

3

c)

4

d)

2

42.

13 less than the product of a number and 6 is 5

a)

N x 6 -13=5

b)

N -13 x 6=5

c)

6 x 5 -13= n

d)

-13+ 5 x n = 6

43.

One fourth of the sum of a number and two is three

a)

2(1/4+n)=3

b)

3(2+n)=1/4

c)

n(2+1/4)=3

d)

1/4(2+n)=3

44.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

45.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

46.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10 to both sides

b)

Subtract 10 from both sides

c)

Add 3 to one side

d)

Divide by -3 on both sides

47.

What is the first step (after simplifying) in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5 from both sides

c)

Multiply by 7 on both sides

d)

Subtract 7 from both sides

48.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

49.

8w - 12 = 20

(a)

50.

$\frac{r}{7}-\ 6\ =\ 5$

(a)

51.

9j - 20 = 16

(a)

52.

$\frac{a}{4}\ -\ 2\ =\ 6$

(a)

53.

Jim paid a gym membership fee of $50,plus $20 per month. Jim has paid a total of $290 to the gym. Which equation would solve how many months has Jim been a member of the gym?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m +290 = 20

54.

$\frac{1}{2}x\ +5\ =\ 10$

SHOW YOUR STEPS ON YOUR NOTEBOOK PAPER!

a)

5

b)

10

c)

-5

d)

15

55.

$\frac{n}{3}\ -\ 8\ =\ -2$

SHOW YOUR STEPS ON YOUR NOTEBOOK PAPER!

a)

6

b)

18

c)

2

d)

-10

56.

2y + 5 =19

SHOW YOUR STEPS TO SOLVE ON YOUR NOTEBOOK PAPER!

a)

7

b)

12

c)

24

d)

14

57.

Mr. M is going to the carnival to ride the rides. It costs $12 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 12 = 35

b)

.50x = 35

c)

.50 + 12x = 35

d)

.50x - 35 = 12

58.

Solve for w:

-6w-5=25

a)

$-5$

b)

$5$

c)

$4$

d)

$-4$

59.

Solve for f:

\frac{f}{3}-5=-2

a)

$9$

b)

$21$

c)

$-21$

d)

$-9$

60.

Solve for z:

\frac{z}{7}+3=-11

a)

$-98$

b)

$98$

c)

$56$

d)

$-56$

61.

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.

62.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for? (WRITE AN EQUATION IN YOUR NOTEBOOK & SOLVE)

a)

2.5 hours

b)

4.5 hours

c)

7.5 hours

d)

10.5 hours

63.