Inequalities Weekly Assessment

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 or x < 4

• No Solution

• x ≥ -5 and x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

3x + 2 < -7 or -4x + 5 < 1

• All real numbers

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Which graph shows the solution set of the inequality |2x - 7| > 3?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

w - 3  <   (2w + 1) <  w + 6

• 4 ≤ w < 5
• -4 ≤ w < 5
• -2 ≤ w < 5
• -2 ≤ w < 7

Solve.
|3c - 4| < 12

• -2 2/3 < c < 5 1/3
• c < -5 1/3  or c > 2 2/3
• c < 5 1/3 or c > -2 2/3
• -5 1/3 < c < 2 2/3

Tags

CCSS.HSA.REI.B.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.A.1

CCSS.HSA.REI.B.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.CED.A.3

CCSS.HSA.REI.B.3