Algebra Unit 4 Test Review

If f(x)=2x²-3x, what is the value of f(5)?

• 10x - 15

• -1 or 5/2

• 35

• 85

Tags

CCSS.HSF.IF.A.2

The graph of f(x)=(x+2)²-2 is shown in the graph. Which describes the transformations from the graph of f(x) to the graph of -f(x-4)?

• Reflect the graph of f(x) about the y-axis and shift it 4 units to the right to get a parabola opening upward with a vertex at (6, −2).

• Reflect the graph of f(x) about the x-axis and shift it 4 units to the left to get a parabola opening downward with a vertex at (−6, 2).

• Reflect the graph of f(x) about the y-axis and shift it 4 units to the left to get a parabola opening upward with a vertex at (−2, −2).

• Reflect the graph of f(x) about the x-axis and shift it 4 units to the right to get a parabola opening downward with a vertex at (2, 2).

The graph of a parabola is sketched below. The parabola contains the point (-4,10) and has the vertex (2,-8). What are the coordinates of the positive x-intercept of the parabola?

• (2, 0)

• (8, 0)

• (6, 0)

• (4, 0)

Tags

CCSS.HSF-IF.C.7A

A study shows that hospital admissions for asthma, a breathing disorder, increase on days when the concentration of ozone in the air is elevated. Surprisingly, low concentrations of ozone actually decrease asthma admissions. This is because another chemical released with the ozone has beneficial effects, although these are overcome by the negative effects of higher ozone concentrations. The graph shows that hospital asthma admissions as a function of ozone concentration fit a parabolic model: y = 0.01x² − 0.6x + 19.5. What are the coordinates at which asthma admissions are at the same level as when there are no ozone emissions at all?

• (30, 10.5)

• (100, 10.5)

• (20.1, 1.5)

• (60, 19.5)

A soccer team is selling T‑shirts as a fundraiser. The table shows how the number of T-shirts they can expect to sell depends on x, the price of each T‑shirt. Which equation describes the relationship between the total number of dollars in T-shirt sales, y, and the price per T-shirt, x?

• y =−5x² + 140x

• y = -5x² + 92x

• y = -5x² + 100x

• y = -5x² + 60x

Which quadratic equation yields zeros of 3/4 and 5/3?

• 12x² - 29x + 15 = 0

• 12x² + 11x - 15 = 0

• 12x² + 29x + 15 = 0

• 12x² - 11x - 15 = 0

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The expected weekly profit for a certain swimming pool facility is a quadratic function of the price the facility charges per person. - The facility is expected to break even if it charges either $2 per person or $8 per person. - The facility is expected to lose $1,200 weekly if people can get in free. Which function f(x) models the facility’s expected weekly profit in dollars when charging x dollars per person, in the form that BEST reveals how the facility can maximize its profit?

• f(x) = -1,200(x - 2)(x - 8)

• f(x) = -75(x - 2)(x - 8)

• f(x) = -75(x - 5)² + 675

• f(x) = -75(x - 10)² + 6,300

• The functions intersect at two points, and the y-intercept of g(x) is less than the y-intercept of f(x).

• The functions intersect at two points, and the y-intercept of g(x) is greater than the y-intercept of f(x).

• The functions intersect at one point, and the y-intercept of g(x) is less than the y-intercept of f(x).

• The functions intersect at one point, and the y-intercept of g(x) is greater than the y-intercept of f(x).

Tags

CCSS.HSA.REI.C.7

In order to find the zeros of f(x) = x² − 8x + 12, Jessica needs to first factor the quadratic function. Which of the following is the factored form of the function?

• f(x) = (x + 2)(x + 6)

• f(x) = (x + 2)(x - 6)

• f(x) = (x - 2)(x + 6)

• f(x) = (x - 2)(x - 6)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Mr. Brown is adding a concrete driveway to his property. The cost of the driveway is determined by the amount of concrete that needs to be installed. The expression (2x + 5)(3x - 7) represents the total cost of the driveway. The expression 2x + 5 represents the number of cubic yards of concrete needed. What does the expression 3x - 7 represent?

• the number of workers needed to install the driveway

• the rental cost for the machines used to install the driveway

• the number of hours needed to install the driveway

• the cost of each cubic yard of concrete

Tags

CCSS.HSA-SSE.A.1A