7th Grade Algebra: Slope, Intercepts, & Distributive Fun

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.10, Y-intercept: 25

• Slope: 0.15, Y-intercept: 20

• Slope: 20, Y-intercept: 0.15

Maria is saving money to buy a new bike. She saves $5 each week. If she already has $30, write an equation to represent her total savings (S) after w weeks. What is the slope and y-intercept?

• S = 5w + 20; slope = 5, y-intercept = 20

• S = 5w + 30; slope = 5, y-intercept = 30

• S = 10w + 30; slope = 10, y-intercept = 30

• S = 5w + 40; slope = 5, y-intercept = 40

A gardener is planting flowers in a rectangular garden. The length of the garden is twice the width. If the width is represented by w, write an expression for the area (A) of the garden. Use the distributive property to simplify your expression.

• 2w

• 4w

• 2w^2

• w^2

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If the school sells a total of 100 tickets for $800, write a system of equations to represent the situation and find the number of adult and student tickets sold.

• 60 adult tickets and 40 student tickets

• 80 adult tickets and 20 student tickets

• 70 adult tickets and 30 student tickets

• 50 adult tickets and 50 student tickets

A phone company offers a plan that costs $30 per month plus $0.10 per text message. Write an equation for the total cost (C) in terms of the number of text messages (t). What is the slope and y-intercept?

• C = 0.10t; Slope: 0.10, Y-intercept: 0

• C = 30 + 0.05t; Slope: 0.05, Y-intercept: 30

• C = 30 + 0.10t; Slope: 0.10, Y-intercept: 30

• C = 30t + 0.10; Slope: 30, Y-intercept: 0

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to make a larger batch and use x cups of sugar, write an equation for the amount of flour needed (f) and apply the distributive property to express it in terms of x.

• f = 2x + 3

• f = (2/3)x

• f = 3x

• f = (3/2)x

A train travels at a speed of 60 miles per hour. Write an equation to represent the distance (d) traveled in terms of time (t). What is the slope of this equation?

• d = 60t; slope = 60

• d = 30t; slope = 30

• d = 60t + 10; slope = 60

• d = 45t; slope = 45

A bookstore is having a sale where all books are 25% off. If a book originally costs $20, write an expression for the sale price (P) of the book. Use the distributive property to simplify your expression.

• $10

• $18

• $25

• 15

A local gym charges a $50 membership fee plus $10 per class attended. Write an equation for the total cost (C) in terms of the number of classes (c). What is the slope and y-intercept of this equation?

• Slope: 15, Y-intercept: 30

• Slope: 10, Y-intercept: 100

• Slope: 5, Y-intercept: 50

• Slope: 10, Y-intercept: 50

A farmer has a rectangular field that is 3 times as long as it is wide. If the width is represented by w, write an expression for the perimeter (P) of the field and simplify it using the distributive property.

• 4w

• 6w

• 8w

• 10w