AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PModeling with Systems of Linear Inequalities

Modeling with Systems of Linear Inequalities — Unit test Answers

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A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point. If x is the number of solved puzzles and y is the number of solved riddles, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded.
Option A
B
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above the line is shaded.
Option B
C
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the right of the line is shaded.
Option D
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The graph of a system of inequalities is shown.

Question illustration
A
y > 2xx + 2y ≤ –8
B
y ≥ 2xx + 2y < –8
C
y < 2xx + 2y ≥ –8
D
y ≤ 2xx + 2y > –8
23

At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?

A
x + y < 12
B
x + y > 12
C
x + y ≤ 12
D
x + y ≥ 12
24

Which value of m will create a system of parallel lines with no solution?y=mx-68x-4y=12

Question illustration
A
-2
B
-
Option B
C
Option
Option C
D
2
25

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded.

Question illustration
A
(0, 2)
B
(2, 0)
C
(1, −2)
D
(−2, 1)

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