Solving and Graphing Inequalities

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Tags

CCSS.6.EE.B.8

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

-2 (x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• ∞

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

7(x + 3) - 5x < 13

• x>-4

• x < 17

• x<-4

• x > -17

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

3(x - 2) - 2x < 18

• x<24

• x>12

• x<12

• x>24

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Monica earns $363 a week. Rachel works for $8.25 an hour.Which inequality represents how many hours must Rachel work to make as much as or more than Monica?

• 363≥8.25h
• 363<8.25h
• 363≤8.25h
• 363>8.25h

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500
• 500-25w ≥ 200
• 500+25w ≤ 200
• 200-25w ≤ 500

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20
• 1.75 + 3.50t ≤ 20
• 3.50 + 1.75t ≥ 20
• 1.75t + 3.50 ≤ 20

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Twice a certain number, increased by 5, is less than three times the same number.

• 2x + 5 > 3x
• 2x + 5 < 3x
• 2x + 5 ≤ 3x
• 2x + 5 ≥ 3x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3