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?

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?

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?

A store sells bottles of water for $1.50 each. During the first hour the store was open, x bottles of water were sold. During the second hour, the store sold 3 fewer bottles of water than it sold during the first hour. During the third hour, it sold three times as many bottles of water as it sold during the second hour. The store was paid a total of $117.00 for bottles of water sold during these three hours. The equation shown below represents these sales. $$1.5x+1.5\left(x-3\right)+1.5\cdot3\left(x-3\right)=117$$ How much money was the store paid for bottles of water sold during the second hour it was open?

An equation is shown below. $$6\left(\frac{1}{2}x+2\right)-x=\frac{1}{2}\left(6x+2\right)+x+1$$ What is the value of x?

Plants are on sale for the price of 2 for $3. Kenneth buys x plants and also buys 4 pots that cost $5 each. He spent a total of $32. The equation below represents Kenneth's purchases. $$\frac{3}{2}x+4\left(5\right)=32$$ How many plants did Kenneth buy?

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

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

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