Word Problems and Equations

Front

What is the first step to solve the equation -3x + 11 = 44?

Back

Subtract 11 from both sides.

Front

Write an equation for a field trip where 4 students rode in cars and the rest filled nine buses with a total of 472 students.

Back

4 + 9x = 472.

Front

Write an equation for Lilli who spent half of her weekly allowance playing mini-golf and earned $4 washing the car, ending with $12.

Back

-x/2 + 4 = 12.

Front

What should have been the first step in solving an equation if the work shows an incorrect first step?

Back

Subtract 1 on both sides.

Front

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

Back

n - $5.12 = $27.10.

Front

What is a variable in an equation?

Back

A symbol (often a letter) that represents an unknown value.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of using equations in word problems?

Back

To represent relationships between quantities and find unknown values.

Front

What is the equation for finding the total cost if each item costs 'x' and there are 'n' items?

Back

Total Cost = n * x.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.