AnswersGA-GSE Algebra IIAdvanced Algebra BUnit Test

Unit Test — Unit test Answers

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Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

A
x less-than negative 5
Option A
B
x greater-than negative 5
Option B
C
x greater-than negative 1
Option C
D
x less-than negative 1
Option D
2
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The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

A
$18
B
$21
C
$27
D
$48
3

Which geometric series converges?

A
StartFraction 1 Over 81 EndFraction + StartFraction 1 Over 27 EndFraction + one-ninth + one-third + ellipsis
Option A
B
1 + one-half + one-fourth + one-eighth + ellipsis
Option B
C
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1
Option D
4

What is the vertex of the absolute value function below?

Question illustration
A
(4, –1)
B
(1, –4)
C
(1, 4)
D
(4, 1)
5

Eight less than four times a number is less than 56. What are the possible values of that number?

A
x less-than 12
Option A
B
x greater-than 12
Option B
C
x less-than 16
Option C
D
x greater-than 16
Option D
6

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

Question illustration
A
w = StartFraction 8 x squared + 2 y Over y EndFraction
Option A
B
w = StartFraction 8 x squared minus 2 y Over y EndFraction
Option B
C
w = 8 x squared minus 3 y
Option C
D
w = 8 x squared minus y
Option D
7

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?

A
112.50 ft2
B
145.31 ft2
C
147.66 ft2
D
290.63 ft2
8

What is the solution to the inequality ?

Question illustration
A
–3 > n > –2
B
2 < n < 3
C
n –2
D
n 3
9

Jamilla solved the inequality and graphed the solution as shown below. What is the value of b and the missing symbol in Jamilla’s inequality?

Question illustration
A
b = –1,
Option A
B
b = –1,
Option B
C
b = 1,
Option C
D
b = 1,
Option D
10

Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. Her graph is shown below.What are the solution(s) of –3(x – 1) = x – 5?

Question illustration
A
–5 and 3
B
–3
C
1 and 5
D
2
11

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

Question illustration
A
b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction
Option A
B
b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h
Option B
C
b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction
Option C
D
b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)
Option D
12

Given , what is the average rate of change in f(x) over the interval [1, 5]?

Question illustration
A
–6
B
Negative one-half
Option B
C
One-fourth
Option C
D
1
13

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

A
15.15 oz to 16.00 oz
B
15.85 oz to 16.00 oz
C
15.85 oz to 16.15 oz
D
16.15 oz to 16.45 oz
14

Which graph can be used to find the solution(s) to 4x = –4x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

What is the sum of the first seven terms of the geometric series?3 + 12 + 48 + 192 + ...

A
4,372
B
12,288
C
16,383
D
65,535
16

The formula for the volume of a sphere is . What is the formula solved for r?

Question illustration
A
r = 3 uppercase V + 4 pi
Option A
B
r = RootIndex 3 StartRoot 3 uppercase V minus 4 pi EndRoot
Option B
C
r = RootIndex 3 StartRoot StartFraction 3 V Over 4 pi EndFraction EndRoot
Option C
D
r cubed = 3 uppercase V minus 4 pi
Option D
17

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?

A
(negative infinity, negative 21)
Option A
B
(negative infinity, negative 21 right-bracket
Option B
C
Left-bracket negative 21, positive infinity)
Option C
D
(21, positive infinity)
Option D
18

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

A
4.75 miles per hour
B
5.00 miles per hour
C
5.50 miles per hour
D
6.00 miles per hour
19

A hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the first month and then pays one-third of the previous month’s payment each of the following months until the invoice is paid in full. Approximately how much of the invoice will be paid after the fourth month?

A
$1,451.00
B
$2,095.89
C
$2,149.63
D
$2,167.54
20

Which is the solution set of the compound inequality and

Question illustration
A
Negative 2 less-than x less-than 3 and three-quarters
Option A
B
Negative 2 less-than x less-than 6
Option B
C
2 less-than x less-than 6
Option C
D
2 less-than x less-than 3 and three-quarters
Option D

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