Quiz 2.4 Solving Multi-Step Inequalities

What is the FIRST step to solving this inequality?

 $-4\left(x-9\right)+2x\ge-27$  

• Subtract 2x on both sides

• Distribute: multiply -4 by x and by -9

• Add x to 2x

• Add 9 to both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

TRUE or FALSE:

When solving an inequality, you leave the inequality symbol the same even if you divide by a negative coefficient to isolate the variable.

• TRUE

• FALSE

• There is not enough information to determine this.

Tags

CCSS.6.EE.B.8

 $4-\frac{1}{3}x>11$  

•  $x<-21$  

•  $x>21$  

•  $x<2.33$  

•  $x<6.67$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $6-x\le14$  

•  $x\ge-8$  

•  $x\ge8$  

•  $x\le-8$  

• 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $3-4x<31$  

•  $x>-7$  

•  $x>21$  

•  $x<-7$  

•  $x<-1$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $\frac{3}{4}x+5>11$  

•  $x>8$  

•  $x>-8$  

•  $x>-1$  

•  $x<4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $3x+2<-4$  

•  $x<-2$  

•  $x<2$  

•  $x<-6$  

•  $x>-2$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8

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

• <, >
• ≤, ≥ 

Tags

CCSS.6.EE.B.8

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12
• 2x + 8 > 12
• 2(x+8) ≠ 12
• 8(2+x) 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3