Math Linear Review

Describe the solution set:
2(x + 5) = 2x + 5

• one solution

• no solution

• infinitely many solutions

• two solutions

Zach spent $2.00 to buy 10 packs of gum. He plans to sell each pack of gum for $0.50. Which equation represents the profit, P, that Zach will make if he sells x packs of gum?

• P = 0.50x – 2

• P = 2 – 0.50x

• P = 0.50x – 20

• P = 20 – 0.50x

Which point lies on the graph of 3x + 4y = 24?

• (-4, 9)

• (-1, 5)

• (2, 4)

• (5, 1)

Which point lies on the graph of the equation 10y = 3x – 11?

• (2, -0.5)

• (4, 1)

• (6, 16.3)

• (8, 23)

Dave graphed the linear function with an x-intercept of 4 and a y-intercept of -12. Which function did Dave graph?

• y = -4x + 12

• y = 4x - 12

• y = -3x + 12

• y = 3x - 12

Lori graphed a linear function. The function had a positive x-intercept and a negative y-intercept. Which choice could be the function that Lori graphed?

• 3y – 2x = 24

• 3x – 2y = 24

• 3y + 2x = -24

• 3x – 2y = -24

• x-intercept = 6;

  y-intercept = −2

• x-intercept = −2;

  y-intercept = 6

• x-intercept = 2;

  y-intercept = 6

• x-intercept = 6;

  y-intercept = 2

• The graph of f(x) has a greater slope than the graph of g(x)

• The graph of g(x) has a greater slope than the graph of f(x)

• The graph of f(x) has the same slope as the graph of g(x).

• The slopes of the graphs of f(x) and g(x) are undefined.

• 0

• 4

• 12

• 20

The admission fee to a state fair is $8.00. Each ride costs an additional $4.00. Karen only has $30.00. Which inequality could be used to determine the number of rides, x, Karen can go on?

• 12x ≤ 30

• 4x + 8 ≤ 30

• 8x + 4 ≤ 30

• 12x + 8 ≤ 30