Algebra II Winter Break

What is the RANGE of this graph?

• y < -3

• y ≤ -3

• y > 1

• y ≥ 1

Answer explanation

We read range from bottom to top. The lowest y-value is 1, and the arrow points up. So y>1

The open circle means it is specifically > without the line.

Where is the decreasing?

• ( −∞, −2.55) , (0, 2.55)

• (∞, −6.25) , (36, −6.25)

• (−∞, ∞)

• (−∞, 0)

What is the domain of the function graphed on the grid?

• x ≥ 0

• -3 ≤ x ≤ 10

• All real number

• y ≥ 0

• No Solutions

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Solve the absolute-value inequality: I 6x - 12 I + 5 > 47 Show your work on paper to turn in.

• x < -9 OR x > 5

• x < -5 OR x > 9

• -9 < x < 5

• -5 < x < 9

Answer explanation

Solve: 6x - 12 > 42 OR 6x - 12 < -42

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

Show your work on paper to turn in.

• 
• 
• 
• 

Answer explanation

Remember what sort of graph < means for absolute-value.

Factor Completely:  15t² - 27t - 6

• 3(5t +1)(t - 2)

• (3t - 6)(5t + 1)

• 3(5t - 1)(t + 2)

• (15t + 6)(1t - 6)

Factor
3x² - 4x - 7

Show your work on paper to turn in.

Mathematical Equivalence

ON