Solving Equations & Inequalities Word Problems

Front

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

Back

Subtract 11 from both sides.

Front

Write an equation for Lilli's allowance problem: Lilli 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

-x/2 + 4 = 12

Front

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

Back

c = 0.12m + 8

Front

Which equation describes 'two times a number plus five equals 15'?

Back

2x + 5 = 15

Front

Write an equation for the field trip problem: 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

4 + 9x = 472

Front

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

Back

To isolate a variable means to get the variable alone on one side of the equation.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

How do you solve a one-step equation?

Back

You perform the inverse operation to both sides of the equation.

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

What is the first step in solving the inequality: 3x + 5 < 20?

Back

Subtract 5 from both sides.