Common Core 8.EE.C.7.B worksheet

Question 1

A rectangle is (x + 5) cm long and 3 cm wide. A square has sides of (x − 2) cm. Their perimeters are equal, so 2(x + 5 + 3) = 4(x − 2). Find x.

x = 

Question 2

Ines solved 8x + 5 = 7x + 7 by adding 7x to both sides. Explain the mistake by finding the correct value of x.

x = 

Question 3

Streaming plan A costs $44 up front plus $2 per film. Plan B costs $5 up front plus $5 per film. For how many films do they cost the same?

Answer 

Question 4

Solve: −2x − 11 = x − 20

x = 

Question 5

Solve: 5(x + 6) = 2x + 27

x = 

Question 6

Aisha has $18 and saves $2 a week. Mateo has nothing yet and saves $4 a week. After how many weeks will they have the same amount?

Answer 

Question 7

Solve: 0.5x − 4.8 = 0.1x − 0.8

x = 

Question 8

Solve: x/5 + 1 = x/10 − 3

x = 

Question 9

Candle A is 29 cm tall and burns 5 cm per hour. Candle B is 23 cm tall and burns 3 cm per hour. After how many hours are they the same height?

Answer 

Question 10

Solve: 3(x + 2) = 4(x − 2) + 17

x = 

Question 11

Solve: 2x + 13 = 4x + 23

x = 

Question 12

A rectangle is (x + 2) cm long and 3 cm wide. A square has sides of (x − 2) cm. Their perimeters are equal, so 2(x + 2 + 3) = 4(x − 2). Find x.

x = 

Question 13

Hana solved 7x + 5 = x + 65 by adding 1x to both sides. Explain the mistake by finding the correct value of x.

x = 

Question 14

Streaming plan A costs $26 up front plus $3 per film. Plan B costs $15 up front plus $4 per film. For how many films do they cost the same?

Answer 

Question 15

Solve: −5x + 2 = 2x − 12

x = 

Question 16

Solve: 2(x + 3) = 3x + 9

x =