AnswersGA-GSE Algebra IIAdvanced Algebra BSolving One-Variable Equations with Systems

Solving One-Variable Equations with Systems — Unit test Answers

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Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?

A
1.6 n greater-than-or-equal-to 56
Option A
B
1.6 n less-than-or-equal-to 56
Option B
C
56 n less-than-or-equal-to 1.6
Option C
D
56 n greater-than-or-equal-to 1.6
Option D
2
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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]?

Question illustration
A
Two-fifths
Option A
B
1
C
2
D
Five-halves
Option D
3

Which fraction represents the decimal 0.8888...?

A
StartFraction 80 Over 99 EndFraction
Option A
B
StartFraction 1,111 Over 1,250 EndFraction
Option B
C
Eight-ninths
Option C
D
Nine-eighths
Option D
4

Carlos graphs the equations and and generates the graph below. Which conclusion is supported by the graph?

Question illustration
A
The equation has no real solutions.
Option A
B
The equation has one real solution.
Option B
C
The equation has two real solutions.
Option C
D
The equation has four real solutions.
Option D
5

Which graph shows all the values that satisfy

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward positive 10.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward negative 10.
Option B
C
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward positive 10.
Option D
6

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Question illustration
A
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
B
The rocket is at a greater height when t = 3 than it is when t = 1.
C
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
D
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.
7

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

Question illustration
A
x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot
Option A
B
x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot
Option B
C
x = plus-or-minus StartRoot uppercase A minus 36 EndRoot
Option C
D
x = plus-or-minus StartRoot uppercase A + 36 EndRoot
Option D
8

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

A
The pool must have been empty for the entire interval.
B
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
C
The pool must have been deeper at the end of the interval than it was at the start of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
9

The formula for the volume of a pyramid is Which of the following equations is equivalent to the given formula?

Question illustration
A
uppercase B = StartFraction 3 uppercase V Over h EndFraction
Option A
B
uppercase B = StartFraction 3 h Over uppercase V EndFraction
Option B
C
uppercase B = StartFraction uppercase V minus one-third Over h EndFraction
Option C
D
uppercase B = StartFraction uppercase V + one-third Over h EndFraction
Option D
10

Which graph shows the solution set of the compound inequality or

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
Option B
C
A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.
Option D
11

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

Question illustration
A
x = 0
Option A
B
x = –1
Option B
C
x = 2
Option C
D
x = 5
Option D
12

The formula to determine energy is . What is the formula solved for v?

Question illustration
A
v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot
Option A
B
v = 2 uppercase E minus m
Option B
C
v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot
Option C
D
v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot
Option D
13

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–3, 2).
B
The graph of f(x) is a horizontal compression of the graph of the parent function.
C
The graph of f(x) opens downward.
D
The graph of f(x) has range of f(x) –2.
Option D
14

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)

A
234.0 ft
B
253.2 ft
C
789.8 ft
D
1,281.8 ft
15

Celo used the simple interest formula to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

Question illustration
A
uppercase P = StartFraction uppercase A Over 1 + r t EndFraction
Option A
B
uppercase P = StartFraction 1 + r t Over uppercase A EndFraction
Option B
C
uppercase P = uppercase A minus (1 + r t)
Option C
D
uppercase P = uppercase A + (1 + r t)
Option D

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