Algebraic Reasoning 2nd Semester Review

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• No Solution

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5
• x = 2 and x = -1
• x = -2 and x = 9
• No Solution

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

| x + 2 | > 5

• x < - 7 or x > 3
• x > 7 or x < 3
• x < -7 and x > 3
• x > -3 and x < 7

| m - 2 | < 8

• m > 8 or m < 9
• m < -6 or m > 2
• m > -6 and m < 10
• 0 > m < 0

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• x > 5
• all real numbers
• no solution

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Tags

CCSS.8.EE.C.8A

Where do these two lines intersect?

• No solution
• (-2, 3)
• (3, -2)
• (2, 3)

Tags

CCSS.8.EE.C.8B

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)

Tags

CCSS.8.EE.C.8B