Algebra I: Chapter 3 (5 EXT)

Solve.
|c + 4| < 5

• x < -9 or x > 1
• -9 < x < 1
• x < 9 or x > -1
• -1 < x < 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

Solve.
|y - 1| ≤ 6

• -7 ≤ y ≤ 5
• y ≤ -7 or y ≥ 5
• -5 ≤ y ≤ 7
• y ≤ -5 or y ≥ 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

Solve.
|p + 3| ≥ 10

• -13 ≤ p ≤ 7
• p ≤ -13 or p ≥ 7
• -7 ≤ p ≤ 13
• p ≤ -7 or p ≥ 13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

Solve.
3|2d + 9| + 13 = 10

• d = 5 or d = -1
• d = -4 or d = 5 
• d = 4 or d = -5
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

Solve.
|4m + 9| ≥ 21

• -7.5 ≤ m ≤ 3
• m ≤ -7.5 or m ≥ 3
• -3 ≤ m ≤ 7.5
• m ≤ -3 or m ≥ 7.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

Solve.
6 - 2|m -3| > -4

• -8 < m < 2
• m < -8 or m > 2
• m < -2 or m > 8
• -2 < m < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
|5x + 7| < 22

• x < -5 ⅘ or x > 3
• -5 ⅘ < x < 3
• -3 < x < 5 ⅘
• x < -3 or x > 5 ⅘

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3