2 step equation word problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. For example, x + 3 = 7 requires subtraction and then solving for x.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What does it mean to solve a word problem?

Back

Solving a word problem involves translating the words into a mathematical equation and then solving that equation to find the unknown.

Front

Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

Back

$16

Front

For a field trip, 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

Back

52

Front

The Cooking Club made some pies to sell at a basketball game. The cafeteria contributed four pies. Each pie was cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?

Back

8

Front

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

Back

54

Front

Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?

Back

40

Front

What is the first step in solving a two-step equation?

Back

The first step is to eliminate the constant term from the variable side of the equation.

Front

What is the importance of writing an equation from a word problem?

Back

Writing an equation helps to clearly define the relationship between quantities and allows for systematic solving.