solving equations with and without absolute value

Absolute value is defined as...

• always positive numbers
• negative numbers becoming positive
• distance from zero
• numbers on the number line

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

CCSS.6.NS.C.8

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, -6

• x = 3, -12

• x = 6, -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve |x – 12| - 3 = 11.

• x = -2, -26

• x = -2, 26

• x = 3, 25

• x = 4, -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Translate into an expression:
two more than three times x 

• 3x-2
• 2>3x
• 2+3x
• 2(3x)

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.6

Solve for d:
-7(6 + d) = 49

• 13
• 1
• -1
• -13

Tags

CCSS.7.EE.B.4A

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5
• Subtract 5
• Multiply by 7
• Subtract 7

Tags

CCSS.7.EE.B.4A

Two more than 4 times a number is -18.

• 4x + 2 = -18
• 2x + 4 = -18
• 18 = 4x +2

Tags

CCSS.HSA.CED.A.3

What does "difference" mean?

• add
• subtract 
• multiply
• divide

Tags

CCSS.8.EE.C.7B

Twice a number is 24.

• 2n = 24
• 2/n = 24
• 2 + n = 24
• 2 - n = 24

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Translate the sentence into an equation:
Four more than six times a number is 18.

• 4 + 6x = 18
• 4x + 6 = 18
• 6x + 4 = 18
• not enough info

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7