Word Problem Equations

Front

What is the first step in solving the equation: 2x + 30 = 189?

Back

Subtract 30 from both sides.

Front

Scott charges $35 for each car plus $7 per hour. Write an equation for Kylie's car bill of $63.

Back

7x + 35 = 63.

Front

A man jumps 40 feet down from 250 feet high and descends at 30 feet per minute. How many minutes to reach the ground?

Back

7 minutes.

Front

Penelope's carnival entry costs $20 and ride tickets are $0.50 each. If the equation is 0.50x + 20 = 35, how many tickets did she buy?

Back

x = 30.

Front

Three hundred sixty-one students went to the zoo in seven buses. How many students were in each bus?

Back

51 students.

Front

What does 'variable' mean in an equation?

Back

A symbol (like x) that represents an unknown value.

Front

What is the purpose of isolating the variable in an equation?

Back

To solve for the unknown value.

Front

What is a 'constant' in an equation?

Back

A fixed value that does not change.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation.

Front

What is the equation for a total cost that includes a fixed fee and a variable cost?

Back

Total Cost = Fixed Fee + (Variable Cost per item * Number of items).