Writing Equations and Inequalities from Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

How do you represent a word problem as an inequality?

Back

Identify the key quantities and relationships in the problem, then translate them into mathematical symbols using inequalities.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 2x + 6 ≥ 15?

Back

Subtract 6 from both sides: 2x ≥ 9. Then divide by 2: x ≥ 4.5.

Tags

CCSS.7.EE.B.4B

Front

What is the first step in solving the inequality 50x + 400 ≤ 1600?

Back

Subtract 400 from both sides: 50x ≤ 1200.

Tags

CCSS.7.EE.B.4B

Front

If a student rode 8 miles on Monday and rode x miles each day for 4 days, how do you express the total distance?

Back

Total distance = 8 + 4x.

Tags

CCSS.6.EE.B.6

Front

What is the maximum weight a moving truck can carry if it is loaded with a piano weighing 400 pounds?

Back

The maximum weight is 1600 pounds, so the weight of the boxes plus the piano must be less than or equal to 1600 pounds.

Front

How do you write an inequality for Nathaniel's charity run if he wants to donate at least $40?

Back

2.50x + 10 ≥ 40, where x is the number of kilometers run.

Tags

CCSS.7.EE.B.4B

Front

What is the purpose of a down payment in a car purchase?

Back

A down payment reduces the total amount financed and shows the buyer's commitment.