Unit Test — Cumulative exam Answers

49 verified answers2 views

Consider the quadratic function. f(p) = p2 – 8p – 5What are the values of the coefficients and the constant in the function?

a = –1, b = –8, c = –5

a = 1, b = –5, c = –8

a = 1, b = –8, c = –5

a = –1, b = –5, c = 8

Free Preview

A function g(x) is defined as shown.g(x) = What is the value of g(4)?

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

–3x2 – 18x – 27

–3x2 – 15x – 30

–3x2 + 3x + 6

–3x2 + 3x – 30

What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

x = –15

x = –3

x = 3

x = 15

Which expression is a difference of squares with a factor of 5x − 8?

25x2 − 16

25x2 + 16

25x2 − 64

25x2 + 64

The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

y = (x + 8)(x + 3)

y = (x + 4)(x + 6)

y = (x + 9)(x + 2)

y = (x + 7)(x + 4)

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

x3 + 3x − 1

x3 + 4x − 1

x3 + 3x2 + 3x − 1

x3 + 2x2 − x + 1

The histogram shows the duration, in minutes, of movies in theaters.

The mean is less than the median.

The median is less than the mean.

The mean is equal to the median.

The median and mean cannot be compared from a histogram.

The data in the table represent the height of an object over time.

quadratic, because the height of the object increases or decreases with a multiplicative rate of change

quadratic, because the height increases and then decreases

exponential, because the height of the object increases or decreases with a multiplicative rate of change

exponential, because the height increases and then decreases

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

x(x + 7) = 13

x(x + 7) = 169

x2 + (x + 7)2 = 13

x2 + (x + 7)2 = 169

The first few steps in deriving the quadratic formula are shown.

The term is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.

The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.

The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.

The diagram represents the polynomial 4x2 + 23x – 72.

(4x + 8)(x – 9)

(4x – 8)(x + 9)

(4x + 9)(x – 8)

(4x – 9)(x + 8)

Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?

0 = –3x – 5 + x2

0 = x – 3 – 5x2

0 = 3x – 5 – x2

0 = –3x + 5 – x2

Mr. Walker is looking at the fundraiser totals for the last five years.

The median is $1.60 greater than the mean.

The mean is $1.60 greater than the median.

The median is $2.82 greater than the mean.

The mean is $2.82 greater than the median.

Which graph shows a rate of change of between –4 and 0 on the x-axis?

On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3).

On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4).

On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).

Which table shows no correlation?

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.

The graph represents the data cost for monthly Internet service for a cell phone.

C(x) =

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

The axis of symmetry should be x = –1.

The axis of symmetry should be x = 2.

The vertex should be a maximum.

The vertex should be (–2, 1).

What is the coefficient of x after simplifying (−x−5)2?

−25

−10

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.Quadratic formula: x =

–5.7

–4

–1

–0.7

Did you find these answers helpful?

Unit Test — Cumulative exam Answers

More from this Course

TRY EDGENUITY HACKS