6.5 Solve Absolute Value Equations

|-5| = ?

Answer explanation

Absolute value is a distance. Distance is always positive.

Tags

CCSS.6.NS.C.7

|3| = ?

Answer explanation

Absolute value is a distance. Distance is always positive.

Tags

CCSS.HSF-IF.C.7D

Solve. |x| = 7 (Check all that apply)

• 7

• -7

• no solution

• infinite solutions

Tags

CCSS.HSA.REI.B.3

Solve. |x| = 9 (Check all that apply)

• 9

• -9

• no solution

• infinite solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. |x + 3| = 10

• 7

• -13

• 13

• -7

• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. |x + 4| = 10

• 6

• -14

• 14

• -6

• no solution

Tags

CCSS.HSA.REI.B.3

Solve. 5|x + 1| = 20

• -3

• -5

• 5

• 3

• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. 2|x + 6| = 20

• 16

• -16

• -4

• 4

• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve. |x| - 8 = 2

• 6

• -6

• 10

• -10

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. |x| - 7 = 5

• 2

• -2

• 12

• -12

• No Solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3