Solving and graphing two-step inequalities

Solve for x.

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Tags

CCSS.7.EE.B.4B

Solve for y.

11 > -3y + 2

• -3 > y

• -3 < y

• 3 > y

• 3 < y

Tags

CCSS.7.EE.B.4B

Solve for n.

6n + 4 > -26

• n > -6

• n > -5

• n > 8

• n > -4

Tags

CCSS.7.EE.B.4B

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

Solve for u.

  $\frac{u}{7\ }-\ 1\ \le1$  

• 14≥u

• 14≤u

• u≤14

• u ≤ -14

Tags

CCSS.7.EE.B.4B

 $-2\ +\ \frac{m}{4}\le-7$  
Which graph matches the solution ?

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

Which graph matches the solution?

7n - 1 > 76

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

When do we switch the inequality symbol?

• when multiplying or dividing by a NEGATIVE

• when adding and subtracting a NEGATIVE

• we never switch the inequality

• When there is a negative in the problem

Tags

CCSS.6.EE.B.8

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

• x - 134 < 400

• x + 134 < 400

• x - 134 ≤ 400

• x + 134 ≤ 400

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve for f.

23 < f + 12

• f > 11

• f > 35

• f < 35

• f < 11

Tags

CCSS.7.EE.B.4B