Multi-step inequalities

• a < 6

• a > 6

• a ≤ 6

• a ≥ 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• add 6 to both sides

• distribute 4 to the quantity (8a-6)

• add a to both sides

• combine 8a-6 to get 2

• a<132

• a>11

• a<33

• a<11

4x - 3 < -1x + 12

• x > 3
• x < 3
• x < 5
• x > 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-2x + 2 > 3x - 8 

• x > -9
• x > 2
• x < -9 
• x < 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

3(x - 3) ≤ 2(x + 2)

• x ≤ -5
• x ≥ 5
• x ≥ 13
• x ≤ 13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she can spend no more than $35 in all.

• .50x + 20 ≥ 35

• .50x < 35

• .50 + 20x ≤ 35

• .50x - 20 = 35

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450
• 0.85x + 375 < 450
• 0.85 + 375x > 450
• 0.85 + 375x < 450

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Question 1: When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥