Solving Equations & Inequalities Word Problems

Front

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

Back

Subtract 11 from both sides.

Front

A parking garage charges $4.50 for each hour you park. You have $18 in your pocket. How many hours can you park?

Back

x ≤ 4.

Front

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00. Which equation can be used to find c, the total cost for one month when m minutes are used?

Back

c = 0.12m + 8.

Front

Which sentence represents m > 41?

Back

Mary’s points, m, totaled more than 41.

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 does it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is the purpose of using variables in word problems?

Back

To represent unknown quantities that we need to solve for.