Linear Equations

The rectangle shown has an area of 55 square units. Write and solve an equation to find the value of x.

• x = 1.5

• x = 4

• x = 0.5

• x = 2

Tags

CCSS.7.EE.B.4A

Which of the following equations would have infinitely many solutions?

• 4x + 12 - 8 = 2x + 3 + 2x

• 2( -8x + 2 ) = -18

• 5( x - 3 ) = 5x + 15

• 7( 2x - 1 ) = 1 + 14x - 8

Tags

CCSS.8.EE.C.7A

Find the value of x needed to make the equation true:

• x = 2

• x = -2

• x = 1/2

• x = -1/5

Two angles are complementary. The larger angle is 46 degrees more than three times the smaller angle. Find the measure of the smaller angle.

• 79 degrees

• 49 degrees

• 11 degrees

• 9 degrees

Tags

CCSS.8.EE.C.8C

The graph shows the number of followers that two celebrities have on their social media accounts.

What can you conclude from the point of intersection on the graph?

• After 10 weeks, Celebrity A will have 5,000 more followers than Celebrity B.

• After 10 weeks, Celebrity B will have 7,000 more followers than Celebrity A.

• After 5 weeks, each celebrity will have the same number of followers.

• After 10 weeks, each celebrity will have the same number of followers.

Tags

CCSS.8.EE.C.8C

Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?

• 5 letters

• 10 letters

• 7 letters

• 50 letters

Tags

CCSS.8.EE.C.8C

Find the value of x needed to make the equation true:

-8.25x + 12 - 1.75x = 10.5x + 1.75

• x = 5

• x = 0.5

• x = 2.5

• x = 0.7

Car A is traveling at a speed of 61 mph and is increasing its speed 0.2 mph each second. Car B is traveling at a speed of 75 mph and is decreasing its speed 0.5 mph each second. After how many seconds will the cars be traveling the same speed, and how fast will they be going?

• After 65 seconds, the cars will both be traveling at 20 mph.

• After 20 seconds, the cars will both be traveling at 65 mph.

• After 10 seconds, the cars will both be traveling at 66 mph.

• After 18 seconds, the cars will both be traveling at a speed of 70 mph.

Tags

CCSS.8.EE.C.8C

At Billy's Burgers, two bacon cheeseburgers and three orders of curly fries would cost $16.45. One order of curly fries and three bacon cheeseburgers would cost $16.66. What is the cost of one bacon cheeseburger?

• $2.29

• $4.29

• $4.79

• $5.49

Tags

CCSS.8.EE.C.8C

A musical charges $3.50 for children's tickets and $5.00 for adult's tickets. Last night, twice as many adults attended the musical than children. If the ticket sales totaled $823.50. How many children attended the musical last night?

• 122

• 78

• 61

• 52

Tags

CCSS.8.EE.C.8C