The graph of y = x² − 2 is shown below. What is the domain and range of the function?

1. Domain: -∞ < ∞
   Range: y ≥ -2
2. Domain: x ≥ -2
   Range: -∞ < y < ∞
3. Domain: -∞ < x < ∞
   Range: y ≥ 0
4. Domain: x ≥ 0
   Range: -∞ < y < ∞

The graph of y = -2x² + 8 is shown below. What is the domain and range of the function?

1. Domain: -∞ < x < ∞
   Range: -∞ < y < ∞
2. Domain: x ≥ 8
   Range: -∞ < y < ∞
3. Domain: -∞ < x < ∞
   Range: y ≥ 0
4. Domain: -∞ < x < ∞
   Range: y ≤ 8

What is the effect on the graph of the equation y = x² when the equation is changed to y = one-fourth 1 4 x²?

1. The graph of y = one-fourth 1 4 x² is narrower than the graph of y = x².
2. The graph of y = one-fourth 1 4 x² is wider than the graph of y = x².
3. The graph of y = one-fourth 1 4 x² is a reflection of the graph of y = x².
4. The graph of y = one-fourth 1 4 x² is translated up.

Which shows the functions correctly listed in order from narrowest to widest graph?

1. y = one-half 1 2 x², y = one-third 1 3 x², y = 3x², y = 2x²
2. y = 2x², y = one-half 1 2 x², y = 3x², y = one-third 1 3 x²
3. y = one-third 1 3 x², y = one-half 1 2 x², y = 2x², y = 3x²
4. y = 3x², y = 2x², y = one-half 1 2 x², y = one-third 1 3 x²

What is the effect on the graph of the equation y = x² + 3 when the equation is changed to y = x² − 3?

1. The graph would shift 3 units down.
2. The graph would shift 3 units up.
3. The graph would shift 6 units down.
4. The graph would shift 6 units up.

Which equation, when graphed, would appear to be shifted 4 units up from the graph of y = x² − 5?

1. y = x² − 1
2. y = x² + 4
3. y = x² − 4
4. y = x² − 9

The polynomial x² − 6x + 8 is modeled below using algebraic tiles.

What are the solutions to the equation x² − 6x = -8?

1. x = 1 and x = 8
2. x = -1 and x = -8
3. x = 2 and x = 4
4. x = -2 and x = -4

The polynomial x² − 2x − 24 is modeled below using algebraic tiles.

What are the solutions to the equation x² − 2x = 24?

1. x = 4 and x = -6
2. x = -4 and x = 6
3. x = 3 and x = -8
4. x = -3 and x = 8

Find the solutions to the quadratic equation 3x² + 5x -12 = 0.

1. x = -four-thirds 4 3 and x = 3
2. x = four-thirds 4 3 and x = -3
3. x = -4 and x = 1
4. x = 4 and x = -1

After completing the square, which quadratic equation is equivalent to x² + 10x − 11 = 0.

1. (x + 10)² = 100
2. (x − 10)² = 100
3. (x + 5)² = 36
4. (x − 5)² = 36

Find the solutions to the quadratic equation x² + 6x − 24 = 0.

1. x ≈ 2.74 and x ≈ -8.74
2. x ≈ -2.74 and x ≈ 8.74
3. x ≈ -5.49 and x ≈ 17.49
4. x ≈ 5.49 and x ≈ -17.49

What are the x-intercepts of the graph of the equation y = x² + 7x + 10?

1. x = 10 and x = 1
2. x = -10 and x = -1
3. x = 5 and x = 2
4. x = -5 and x = -2

Which ordered pair represents one of the zeroes of the function f(x) = 8x² − 10x − 7?

1. (- one-half 1 2 , 0)
2. (one-half 1 2 , 0)
3. (- seven-eighths 7 8 , 0)
4. (one-eighth 1 8 , 0)

Which expression represents the area of a triangle with base 4x³yz² units and height 6xy⁵z² units? Use the formula A = bh over two bh 2 to find the area of a triangle.

1. 12x³y⁵z⁴
2. 12x²y³z³
3. 12x⁴y⁶z⁴
4. 6x⁴y⁶z⁴

Which expression represents (3a⁶b⁴c³)² in simplest form?

1. 6a¹²b⁸c⁶
2. 9a¹²b⁸c⁶
3. 6a⁸b⁶c⁵
4. 9a⁸b⁶c⁵

The following graph describes an inverse variation. What is the value of k?

1. 20
2. 10
3. one-twentieth 1 20
4. one-tenth 1 10

The graph below describes the relationship between the volume of a gas at a constant temperature and the pressure. What would be the volume of a gas if the pressure were 20 pounds per cubic inch?

1. 60
2. 100
3. 20
4. 120

Find the equation of variation for y = 72 when x = 8, where y varies inversely as x.

1. y = x over 576 x 576
2. y = 576 over x 576 x
3. y = 9x
4. y = 8x

If y varies inversely as x and x = 4 when y = 12, find y when x = 16.

1. 48
2. 3
3. 64
4. 192

The data table shows the earnings of a business over a period of 5 years. What type of relationship does this table demonstrate?

1. Linear
2. Quadratic
3. Exponential Growth
4. Exponential Decay

The data table shows the student population at a high school over a period of 7 years. What type of relationship does this table demonstrate?

1. Linear
2. Quadratic
3. Exponential Growth
4. Exponential Decay

Which of the following equations represents the graph shown?

1. y = (1.75)^x
2. y = 3(1.75)^x
3. y = (0.75)^x
4. y = 3(0.75)^x

James deposits $250 in a bank account that pays 4% annual interest compounded yearly. The equation for the amount of money in the savings account is determined by using the equation A = 250(1.04)^t where A represents the amount in the account and t represents the number of years. Which graph best represents the situation?

A scientist noticed that the population of a species of animals doubled every year. The scientist noted that the initial population of the species was 20 animals. Which equation below represents the number of animals, a, after t years?

1. a = 20^t
2. a = 2^t
3. a = 20(2)^t
4. a = 2(20)^t

Stephanie invested $400 in a bank account. The value of the investment doubles every 10 years. Which equation represents the amount of money, A, in the account after t years?

1. A = 400(2)^{t over 10 t 10}
2. A = 400(2)^t
3. A = 10(400)^{t over 2 t 2}
4. A = 10(400)^t