Review Linear Inequalities, Linear Equations, Absolute Value Equations

What is the vertex of the following function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Solve: 3(x-4) = -3

• 3

• -3

• 5

• -5

Solve for x:
6(2x + 1) = 18

• 3

• 17/12

• 1

• 2

Solve the compound inequality.

–10 ≤ 2x + 4 < 22

• –3 < x ≤ 13

• –7 ≤ x < 9

• –7 < x ≤ 9

• –3 ≤ x < 13

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5

• x < -5 and x > 5

• x < -5 or x > 5 

• x > -5 and x < 5 

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Write an inequality for Graph 2.

• -2 ≤ x < 5

• x ≤ -2 AND x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. To solve, I graphed: x + y = 21 6x + 4y = 104 I got an intersection point at (10,11). What does that mean in context of the problem?

• There are 10 adults and 11 children.

• There are 11 adults and 10 children.

• The adults are $10 and the children are $11.

• There are 104 adults and 21 children.