Two Step Inequality Word Problems

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you represent a word problem as an inequality?

Back

Identify the goal or limit in the problem, define the variable, and translate the conditions into an inequality.

Front

What does the symbol '≥' mean in an inequality?

Back

'≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means 'less than or equal to', indicating that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality 5x + 60 ≥ 200?

Back

Subtract 60 from both sides to get 5x ≥ 140, then divide by 5 to find x ≥ 28.

Front

What is the first step in solving the inequality 0.04x + 300 ≥ 550?

Back

Subtract 300 from both sides to isolate the term with the variable: 0.04x ≥ 250.

Front

If Aaron needs at least $240 and has saved $30, how do you express his earnings from washing cars as an inequality?

Back

Let x be the number of cars washed. The inequality is 14x + 30 ≥ 240.

Front

What is the maximum number of friends Elliott can take to the movies if he has $50 and must buy one adult ticket?

Back

Set up the inequality: 9.75 + 6.25x ≤ 50, where x is the number of child tickets.

Front

How do you express Henry's running goal of more than 50 miles this week as an inequality?

Back

If he has run 20 miles, the inequality is 20 + 2x > 50, where x is the average miles run over the remaining days.

Front

What is the solution to the inequality 20 + 2x > 50?

Back

Subtract 20 from both sides to get 2x > 30, then divide by 2 to find x > 15.