Algebraic Reasoning Exam Guide

• (4x + 9)(4x - 9)

• (2x - 9)(2x - 9)

• (2x - 9)(2x + 9)

• (4x - 9)(4x - 9)

Which graph represents the solution set of x - y ≤ 2?

• A. [Graph A]

• B. [Graph B]

• C. [Graph C]

• D. [Graph D]

Mrs. Dunst asked her students to provide her with an equation with a slope of -2 and has the same x-intercept as the line 4x + y = 12. What is the value of the x-intercept of the line?

What are the x- and y-intercepts of the line represented by the equation 3x + 4y = 12?

• (4, 0) and (0, 3)

• (3, 0) and (0, 4)

• (0, 12) and (12, 0)

• (0, 4) and (4, 0)

A car valued at $24,000 loses 17% of its value each year. Which function rule models the value of the car after x years?

• 
• x(2x + 1) - 2(2x + 1)

• (2x + 1)(x - 2)

• 

What value of x makes the equation 12x + 6 - 7x = 3(4x - 5) true?

• 2

• -3

• 3

• -2

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?

• 6x + 2y < 120

• 2x + 6y ≤ 120

• 6x + 2y > 120

• 2x + 6y ≥ 120

• (−4, 1)

• (−1, 4)

• (4, −1)

• (1, −4)

A rectangle has a length of (5 + 2x) inches and a width of 10 inches. A triangle has a base of 30 inches and a height of (4x - 10) inches. The area in square inches of the rectangle is equal to the area in square inches of the triangle. What is the value of x?