Solve Equations Inequalities

In order to isolate the variable in the equation below we must:

6x - 12 = 20

• Add both sides by 12

• Subtract both sides by 12

• Multiply both sides by 6

• Divide both sides by 6

Addie saved more than $36. Which inequality represents the amount that she saved? 

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

• 30 + s ≥ 45

• 30 - s ≥ 45

• 30 + s ≤ 45

• 30 - s ≤ 45

• f < 0.5

• f > 0.5

• f < 1.2

• f > 1.2

Solve for x

4x + 3 ≤ −6

• x ≥ −9

• x ≤ −9

• x ≥ −2.25

• x ≤ −2.25

m ≤ 15

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

Solve the linear inequality.

• x > 1

• x > 5

• x > -1

• x < -1

The budget for a banquet is $1,900. If it costs $3.75 to serve a single meal at this banquet, which inequality describes the possible numbers of meals (m) that can be served?

Read each answer choice carefully!

Solve the linear inequality

• x < 0

• x > 0

• x < 3

• x > 3