Free Printable Two-Step Equations with Rational Numbers

1.

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

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

2.

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

a)

$x=9$

b)

$x=10$

c)

$x=-11$

d)

$x=30$

3.

$\frac{2}{5}\ h\ +\ 6\ =\ 8$

What is the first step that should be done to both sides?

a)

+6

b)

-6

c)

+8

d)

-8

4.

Solve $2.5p-4.1=1.5$

a)

$p=0.26$

b)

$p=0.764$

c)

$p=2.24$

d)

$p=22.4$

5.

Translate this word problem into an equation: Hannah ordered books for her son from an online retailer. Each book costs $7.25 and there is a shipping fee of $6.75 for the entire order. How many books did Hannah order if her total cost was $93.75?

a)

$93.75-7.25x=6.75$

b)

$7.25+6.75x=93.75$

c)

$7.25x+6.75=\ 93.75$

d)

$x=\left(93.75-6.75\right)\div7.25$

6.

Translate this word problem into an equation: Dawson’s Garage charges $55 per hour to do car repairs plus the cost of the parts. If the cost of the parts was $142 and the total cost was $362, how many hours did the repairs take?

a)

$h=\frac{\left(362-142\right)}{55}$

b)

$55h+142=362$

c)

$55+142h=362$

7.

50 = 28.1 + 0.15a

a)

a= 150

b)

a= 146

c)

a= 6

d)

a= 155

8.

7.5x - 9.15 = 47.1

a)

x = 48.75

b)

x = -7.8

c)

x = -63.75

d)

x = 7.5

9.

-11.55 = 3.5y + 8.05

a)

y = -5.6

b)

y = -1

c)

y = 2.77

d)

y = 5.43

10.

2.4 - 3.25b = 12.15

a)

b = -3

b)

b = 10

c)

b = 4.47

d)

b = -5.66

11.

$\frac{x}{1.2}-4.8=5.45$

a)

x=12.3

b)

x=3.12

c)

x=12.6

12.

$5.5x-8.2=11.6$

a)

x=-3.6

b)

x=6.3

c)

x=3.6

13.

$\frac{x}{3}-2.2=0.1$

a)

x=6.9

b)

x=3.6

c)

x=4.8

14.

$-2.6x+2.4=-3.06$

a)

x=2.1

b)

x=5.6

c)

x=-3.4

15.

$2.6x-3.6=35.4$

a)

x=15

b)

x= -15

c)

x=15.6

Two-Step Equations with Rational Numbers

Total questions: 15

Worksheet time: 4hrs 45mins

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