Envision Solving Equations and Inequalities

Shaan bought a video game console and some games for $350. The video game console cost $200. Each game cost $25. Write an equation that represents how many games Shaan purchased.

• 350 + 25x = 200

• 200 + 25x = 350

• 200 + 25x > 350

• 200x + 25 = 350

Ainsley bought some shirts for her clothing store $15 each. She received $50 off her entire purchase and spent a total oof $400. Which equation shows how many shirts Ainsley purchased for her store?

• 15x + 50 = 400

• 15 - 50x = 400

• 15x - 50 = 400

• 50 - 15x = 400

Connor earns $12 for each newspaper subscription he sells. Each week he saves $50 of his paycheck. If he wants to have at least $400 in spending money next week, which inequality shows how many newspaper subscription he needs to sell?

• 12 + 50x ≥ 400

• 12x + 50 ≥ 400

• 12x + 50 ≤ 400

• 12 + 50x ≤ 400

Alexa started a race with a 50-meter head start. She ran at a rate of 6.25 meters per second. Which equation shows how many seconds it took Alexa to reach 200 meters past the starting line?

• 50 - 6.25x = 200

• 50x + 6.25 = 200

• 50 + 6.25x = 200

• 50x - 6.25 = 200

4x-7≥21

• x≥7

• x≥-8

• x≤8

• x≤7

Solve:
8m - 9 > 71

• m > 10

• m > 1

• m < 1

• m > -48

Solve the equation:
3(x - 1) = 2x + 9

• x = 12

• no solution

• x = 10

• x = 6

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

What inequality does the number line graph represent. 

• x < 2

• x > 2

• x ≥ 2

• x ≤ 2