Unit Test — Unit test Answers

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21
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A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

A
Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
B
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
C
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
D
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
22
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Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61300x + 30y = 75.90

A
The cost of natural gas is $0.17 per unit.
B
The cost of natural gas is $0.20 per unit.
C
The cost of natural gas is $0.72 per unit.
D
The cost of natural gas is $0.83 per unit.
23

Which system of linear inequalities has the point (3, –2) in its solution set?

A
y less-than negative 3. y less-than-or-equal-to two-thirds x minus 4
Option A
B
y greater-than negative 3. y greater-than-or-equal-to two-thirds x minus 4
Option B
C
y less-than negative 3. y greater-than-or-equal-to two-thirds x minus 4
Option C
D
y greater-than negative 2. y less-than-or-equal-to two-thirds x minus 4
Option D
24

–12–346

A
–12
B
–3
C
4
D
6
25

What value of b will cause the system to have an infinite number of solutions?

Question illustration
A
-6
B
-3
C
3
D
6

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