Modeling with Systems of Linear Inequalities — Unit test

Question 1

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1

Revolt · Accepted Answer

no solution

Question 2

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

Revolt · Accepted Answer

0.85x + 1.29y < 5

Question 3

Which is true about the solution to the system of inequalities shown?y < x – 1y < x – 3

Revolt · Accepted Answer

All values that satisfy y < x – 3 are solutions.

Question 4

A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?

Revolt · Accepted Answer

t ≤ 408p + t ≤ 184

Question 5

Which statements must be true about their heights? Select three options.

Revolt · Accepted Answer

Darius is at least 36 inches tall.; William’s height is less than 68 inches.; Darius is no more than 4 inches taller than twice William’s height.

Question 6

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded.

Revolt · Accepted Answer

y ≤ x + 3

Question 7

Which ordered pair makes both inequalities true?y > –2x + 3y < x – 2

Revolt · Accepted Answer

(3,0)

Question 8

Question 29

Revolt · Accepted Answer

y > x – 2 and y < x + 1

Question 9

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the right of the line is shaded.

Revolt · Accepted Answer

(3, 2)

Modeling with Systems of Linear Inequalities — Unit test Answers

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