Solving Equations with Variables on Both Sides

Front

What is the initial fee charged by Joe’s Canoes?

Back

$20

Front

How much does Joe’s Canoes charge per hour?

Back

$4

Front

What is the flat rate charged by Callie’s Canoes per hour?

Back

$14

Front

How do you set up an equation to find the number of hours for which both canoe places charge the same?

Back

Set the total cost of Joe's Canoes equal to the total cost of Callie's Canoes: 20 + 4h = 14h.

Front

What is the solution to the equation 3y + 7 = 2y - 5?

Back

y = -12

Front

How do you isolate the variable in the equation f - 4 = 6f + 26?

Back

Add 4 to both sides and then subtract 6f from both sides.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6

Front

What is the first step to solve the equation -5k + 10 = -2k - 14?

Back

Add 5k to both sides to start isolating k.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

Front

What is the importance of checking your solution after solving an equation?

Back

To ensure that the solution satisfies the original equation and is correct.