Multi-Step Inequalities- ALL Rules (H)

4(2a + 3) < 3(a - 1)

• a < -3
• a > -3
• a < 3
• a > 3

6x + 10 > 5x - 12

• x > 2
• x < -2
• x < -22
• x > -22

You flip an inequality symbol when you...

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

Do I need to flip my sign?
-3x  ≥ 12

• Yes
• No

"At most" and "No more than" are both clue words for...

• <
• >
• ≤
• ≥

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) 

Which of the choices are two solutions to

x < 8?

• 11 and 17

• 11 and 7

• 7 and 3

• -14 and 10

-8(-8x - 6) = -6x - 22

• 2/5
• -1
• 8/7 
• 2

2x + 3(5x - 7) = 47

• 1
• 2
• 3
• 4

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step
• They should add 19 instead of subtracting 19
• I can not find an error
• Instead of adding 3k they should subtract 3k