6.6（2）Solving linear inequalities in one variable

Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number
• No, because you never flip the sign. 

Tags

CCSS.6.EE.B.8

-4x + 1 > 21

• x > -5

• x < -5

• x > -80

• x < -80

Tags

CCSS.7.EE.B.4B

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

• Add 8 to both sides of the inequality.

• Divide by negative four on both sides of the inequality.

• Subtract negative eight to both sides of the inequality.

• Subtract eight to both sides of the inequality.

Tags

CCSS.HSA.REI.A.1

Solve the following inequality and choose the best answer: 4x - 8 < -16

• The graph would be an open circle shading right of 2

• The graph would have a closed circle shading left of -2

• The graph would have an open circled shading left of -2

• The graph would have a closed circle shading right of 2

Tags

CCSS.7.EE.B.4B

Solve:
6x+10>5x-12

• x>2
• x<2
• x<-22
• x>-22

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:
3(x - 2) < 2(x + 9)

• x<24
• x>12
• x<12
• x>24

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400
• 12x + 400 < 1200
• 12x + 400 > 1200
• 12x + 400 < 1200

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d
• 25 - 2.5d < 50 - 3.25d
• 25 + 2.5d > 50 + 3.25d
• 25 + 2.5d < 50 + 3.25d

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Which is the solution to the following inequality?

d - 5 > -4

-3

• d < 17

• d > 17

• d < 7

• d > -7

Tags

CCSS.7.EE.B.4B