Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Radical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Cumulative exam Answers

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A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

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Which statement verifies that f(x) and g(x) are inverses of each other?

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and

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and

What is the solution of ?

x = –17

x = 13

x = 53

no solution

Which point shows the location of 5 – 2i on the complex plane below?

point A

point B

point C

point D

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

2 feet

4 feet

11 feet

19 feet

Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?

Option

What is the following sum?

6 b squared (RootIndex 3 StartRoot 2 a EndRoot)

12 b squared (RootIndex 3 StartRoot 2 a EndRoot

6 b squared (RootIndex 6 StartRoot 2 a EndRoot)

12 b squared (RootIndex 6 StartRoot 2 a EndRoot)

If (x – 5) is a factor of f(x), which of the following must be true?

A root of f(x) is x = –5.

A root of f(x) is x = 5.

Both x = –5 and x = 5 are roots of f(x).

Neither x = –5 nor x = 5 is a root of f(x).

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

The product of a non-zero rational number and an irrational number can always be written as

a fraction.

a terminating decimal.

a non-repeating, non-terminating decimal.

a repeating decimal

What is the quotient?

StartFraction 1 Over 2 y EnDfraction

StartFraction 3 y + 2 Over 6 y squared EndFraction

StartFraction 1 Over y EndFraction

StartFraction 2 (3 y + 2) Over 3 EndFraction

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

all real values of x

all real values of x except x = 5

all real values of x except x = –5

all real values of x except x = 5 and x = –5

Solve for in the equation .

x = 3 plus-or-minus StartRoot 23 EndRoot

x = 3 plus-or-minus StartRoot 51 EndRoot

x = 3 plus-or-minus StartRoot 41 EndRoot

x = 3 plus-or-minus StartRoot 5 EndRoot

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

14x – 8

14x + 4

4x – 8

4x + 4

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

–18

–4

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

Two-fifths

Five-halves

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

4 mph

7 mph

10 mph

12 mph

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

5(4 + 4) – 6

5(5(4) – 6) – 6

54 – 6 + 54 – 6

5(4) – 6 + 5(4) – 6

What is the following simplified product? Assume

3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot

3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot

3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1 , and the other curve opens down and to the left in quadrants 2, 1, and 4. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = 2.

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Radical Equations and Extraneous Roots — Cumulative exam Answers

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