Practice Test 2.1-2.4

Hank's Bicycle Rentals charges an initial fee of $15 and an hourly rate of $5 to rent a bicycle. Maria's Bicycle Rentals has the same hourly rate but charges an initial fee of $12. To find the number of hours for which the two rental companies would charge the same amount to rent a bicycle, Cindy writes and solves the equation shown below. 15+5x = 12 +5x Which statement describes the number of hours for which the two rental companies charge the same amount to rent a bicycle?

• The two companies charge the same amount to rent a bicycle for 5 hour.

• The two companies charge the same amount to rent a bicycle for 3 hours.

• The two companies never charge the same amount to rent a bicycle for the same number of hours.

• The two companies always charge the same amount to rent a bicycle for the same number of hours.

One of Max's homework problems is to solve a linear equation. He solves the equation and finds that it has no solution. Which of the following could be a step in Max's solution?

• 3(x+4)=x+4

• 3(x+4)=x+12

• 3(x+4)= 3x + 4

• 3(x+4)= 3x + 12

Luisa is solving an equation on the bottom of a page. The corner of the page where the equation is written is torn off as shown. Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solutions. What must be the missing number?

• 2

• 21

• 35

• 14

• $15.00

• $22.50

• $27.00

• $67.50

• One solution

• Infinite Solutions

• No Solutions

• 8

• 13

• 18

• 11

What is the value of x in the equation 2x + 5 = 15?

• 3

• 5

• 7

• 10

Solve the equation 3(x - 4) = 21.

• 2

• 11

• 5

• 7

Find the solution to the equation 4(2x + 3) = 32.

• 5

• 2.5

• 6

• 7

3y + 10.5 = 6.5 + 2.5y

• y = -8

• y = 4

• y = 8

• y = -4