Unit 2 Test Review

Which value of x is a solution to the inequality?

• x = 5

• x =0

• x = -5

• x = -20

You have 200 square feet of planting beds. Cucumber plants require 5 square feet of growing space, and tomato plants require 3 square feet of growing space. The students want to plant some of each type of plant and have at least 75 plants.

If c is the number of cucumber plants and t is the number of tomato plants, 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.

Groups:

(a) Constraint

,

(b) Not a Constraint

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 solid

• The values below the boundary are shaded

• The boundary line is dashed

• The values above the boundary are shaded

Write the inequality for the scenario.

A nail technician charges $40 for an adult manicure and $25 for a child manicure. She wants to earn at least $200.

If x is the number of adult manicures and y is the number of child manicures, which inequality properly models the constraints described?

Mathematical Equivalence

OFF

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

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• 
• 

• w = 10

• w = -10

• w = 3

• w = -3

For the equation 6x - 2y = 12, which statements about the graph of the equation are true? Select all that apply.

• The slope of the line is negative

• The y intercept is located at (0,-6)

• The slope of the line is positive

• The root is located at (2, 0)

• The y intercept is located at (0, 12)

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

• 12x = 10x

• 5x - 2 = 3(2x + 4)

• 2(3x + 5) = 6x + 10

• 9x + 2 = 9x + 2

• If no adults went to the movie, 20 kids could go

• 10 adults and 20 kids can go.

• If no kids go to the movie, then 10 adults can go