Analyze and Solve Linear Equations

The change in y divided by the change in x is the ____________.

• midpoint of a line segment

• y-intercept of a line

• slope of a line

• area under the curve

The point on the graph where the line crosses the y-axis is the ____________ of a line.

• x-intercept

• y-intercept

• slope

• origin

The ____________ of a line is y = mx + b.

• slope

• x-intercept

• y-intercept

• slope-intercept form

• x = 20

• x = 18

• x = 16

• x = 22

• x = 1

• x = 2

• x = 3

• x = 4

Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. After how many weeks will Megan and Connor have saved the same amount?

• 11 weeks

• 25 weeks

• 19 weeks

• 14 weeks

Solve each equation for x. 8(2x + 3x + 2) = -4x + 148

• x = 2

• x = 3

• x = 4

• x = 5

How many solutions does the equation have? x + 5.5 + 8 = 5x – 13.5 – 4x

• No solution

• One solution

• Two solutions

• Infinite solutions

The weight of Abe’s dog can be found using the expression 2(x + 3), where x is the number of weeks. The weight of Karen’s dog can be found using the expression 3(x + 1), where x is the number of weeks. Will the dogs ever be the same weight?

• Yes, when x = 3

• Yes, when x = 5

• No, they will never be the same weight

• Yes, when x = 0

A 16-ounce bottle of water from Store A costs $1.28. The cost in dollars, y, of a bottle of water from Store B is represented by the equation y = 0.07x, where x is the number of ounces. What is the cost per ounce of water at each store? Which store’s bottle of water costs less per ounce?

• Store A: $0.08 per ounce, Store B: $0.08 per ounce; Both stores cost the same per ounce.

• Store A: $0.07 per ounce, Store B: $0.08 per ounce; Store A costs less per ounce.

• Store A: $0.08 per ounce, Store B: $0.07 per ounce; Store B costs less per ounce.

• Store A: $0.07 per ounce, Store B: $0.07 per ounce; Both stores cost the same per ounce.