Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Rational Exponents

Rational Exponents — Unit test Answers

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What is the solution to the equation ?

y = –4 and y = 4

y = 0

all real numbers

no solution

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Which of the following is the graph of ?

On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.

On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.

Which expression is equivalent to the following complex fraction?

StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction

StartFraction 3 x minus 2 y Over negative 2 y + 5 x EndFraction

StartFraction x squared y squared Over (negative 2 y + 5 x) (3 x minus 2 y) EndFraction

StartFraction (negative 2 y + 5 x) (3 x minus 2 y) Over x squared y squared EndFraction

Blake simplified the expression to . Since this answer is incorrect, what was Blake’s mistake?

He added 5 to the exponent in the numerator instead of multiplying.

He subtracted the exponents in the parentheses instead of dividing.

He multiplied only the exponent in the numerator of the fraction by 5.

He divided the exponents in the parentheses instead of subtracting.

Which expression is equivalent to ?

StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction

StartFraction (m + 4) (m + 2) Over m minus 4 EndFraction

StartFraction (m minus 4) (m + 2) Over m + 4 EndFraction

StartFraction m + 4 Over (m minus 4) (m + 2) EndFraction

Which expression is equivalent to ?

StartFraction 1 Over 4 x EndFraction

StartFraction 4 Over x EndFraction

StartFraction 8 Over x EndFraction

StartFraction 128 Over x EndFraction

What is the product?

StartFraction 4 n Over n + 1 EndFraction

StartFraction n Over n + 1 EndFraction

StartFraction 1 Over n + 1 EndFraction

StartFraction 4 Over n + 1 EndFraction

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

$6,075

$6,118

$6,456

$6,778

What is the difference?

StartFraction 2 (x + 6) Over (x + 4) (x minus 4) EndFraction

StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction

StartFraction x minus 3 Over (x + 5) (x minus 4) EndFraction

StartFraction negative 2 (x minus 6) Over (x + 4) (x minus 4) EndFraction

Which expression is equivalent to ?

8y10

8y50

32y10

32y50

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.How long will it take Ted and Jacob to clear the field together?

12 minutes

50 minutes

1 hour 12 minutes

2 hours 30 minutes

If the range of and the range of are the same, which statement is true about the value of m?

m can only equal 1.

m can be any positive real number.

m can be any negative real number.

m can be any real number.

Which graph represents the function ?

On a coordinate plane, a hyperbola and parabola are shown. The hyperbola has a curve in quadrants 1 and 2. The parabola opens down and has a vertex at (0, 0).

On a coordinate plane, a hyperbola and a cubic functions are shown. They hyperbola has curves in quadrants 1 and 3, and the cubic function goes through (0, 0).

On a coordinate plane, a hyperbola is shown. One curve is in quadrant 1 and the other curves goes through quadrants 2 and 4.

On a coordinate plane, a hyperbola is shown. Both curves open downward in quadrants 3 and 4.

How does the graph of compare to the graph of the parent function ?

g(x) is shifted 4 units right and 6 units up from f(x).

g(x) is shifted 4 units right and 6 units down from f(x).

g(x) is shifted 4 units left and 6 units up from f(x).

g(x) is shifted 4 units left and 6 units down from f(x).

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

2 Superscript one-third

2 Superscript one-half

2 Superscript two-thirds

2 Superscript three-halves

Which expression is equivalent to ?

216

1,728

RootIndex 3 StartRoot 12 EndRoot

RootIndex 3 StartRoot 72 EndRoot

Which of the following describes the graph of compared to the parent cube root function?

stretched by a factor of 2 and translated 64 units right and 5 units down

stretched by a factor of 8 and translated 8 units right and 5 units down

stretched by a factor of 2 and translated 8 units right and 5 units down

stretched by a factor of 8 and translated 64 units right and 5 units down

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.How long will it take Maxine and Jan to mow the lawn together?