Unit 2 Test Review: Linear Equations and Inequalities

• x = 5

• x = 0

• x = -5

• -20

The knitting club at CCA is making hats and gloves for people experiencing homelessness. They have 200 yards of yarn to use. Hats require 5 yards of yarn to make and gloves require 4 yards of yarn to make. The students want to make some of each type of accessory and make at least 45 items. If h is the number of hats and g is the number of gloves, identify the equations and inequalities in the answer bank as correctly modeling a constraint of the scenario or as not modeling a constraint of the scenario.

• Constraint

• Not a constraint

• 5h + 4g ≤ 200

• Not a constraint

• Constraint

• 5h + 4g ≥ 200

If you were to construct a graph to model the solution set of the equation 2x + 3y ≥ -6, which of the following statements about the graph are true? Select all that apply.

• The boundary line is dashed

• The values below the boundary are shaded

• The boundary line is solid

• The values above the boundary are shaded

• 40x + 25y > 200

• 40x + 25y ≥ 200

• 25x + 40y < 200

• 25x + 40y ≤ 200

Which graph correctly models the inequality 40x + 25y ≥ 200 found in an earlier problem?

• A) [Graph A]

• B) [Graph B]

• C) [Graph C]

• D) [Graph D]

Examine the inequalities below and decide if (0, 4) is or is not a solution to the inequality.

• Is a solution

• Is not a solution

• Is a solution

• Is a solution

• Is not a solution

• w = 10

• w = -10

• w = 3

• w = -3

Which of the following has a special solution?

No solution and Infinitely many solutions are special solutions.

Select all that apply.

• 4x - 2 = 4x + 3

• 5x - 2 = 3(2x + 4)

• 9x + 2 = 9x + 2

• 12x = 10x

• 2(3x + 5) = 6x + 10

Which equation can be used to find the number of minutes used if you know T and c?