Equations and Inequalities Review

If x = -2, which equation is true?

• -4x + 5 = 13

• 2x - 4 = 8

• -x + 6 = 4

• 3x + 12 = 18

Use the inequality below to find the value of x: 3x - 12 > 15

• x > 9

• x > 27

• x < 9

• x > 1

Find the solution: -4x - 16 = 4

• x = -5

• x = 5

• x = 20

• x = 3

Solve the following equation: 2x + 18 = 30

• x = 6

• x = 12

• x = 48

• x = 24

Josh bought a bag of chips for $4. He also bought some bags of M&Ms for $2.50 each. Josh did not spend more than $20.50 on the chips and M&Ms. Which inequality can be used to find b, the number of bags of M&Ms that Josh could have bought?

• $4\ +\ 2.5x\ \le20.50$

• $4x\ +\ 2.5\ \le20.50$

• $4\ -\ 2.5x\ \ge20.50$

• $4\ +\ 2.5x\ \ge20.5$

Chris and Juan have a mask collection. 

-The number of masks in Chris' collection can be represented by x. 
-The number of masks in Juan's collection is 3 times the number in Chris' collection. 
-The total number of masks in both collections is 60.

How many masks are in Chris' collection?

• 15

• 20

• 45

• 30

Find the solution to the inequality above.

• x < 4

• x < 1

• x > 4

• x < 5

If x = 20, which inequality is true?

• $3x\ -\ 15\ >\ 30$

• $2x\ +14\ \le10$

• $-2x\ +5\ \ge13$

• $4x\ -\ 2\ <-6$

Match the situation with the inequality below:

1500 - 25x < 500

• A plane is starting at 1,500 feet in the air. If the plane descends 25 feet per minute, how many minutes will it take for the plane to be below 500 feet?

• A plane is starting at 1,500 feet in the air. If the plane rises 25 feet per minute, how many minutes will it take for the plane to be above 500 feet?

• A plane is starting at 25 feet in the air. If the plane rises 1,500 feet per minute, how many minutes will it take for the plane to be above 500 feet?

• A plane is starting at 500 feet in the air. If the plane descends 25 feet per minute, how many minutes will it take for the plane to be below 1,500 feet?

The number line represents the solution set for which inequality?

• 2x - 16 < -8

• 5x + 35 < 70

• -3x - 9 > 12

• -2x + 20 > 10