Writing Inequalities with Word Problems

Front

What is an inequality?

Back

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

Front

How do you represent '12 more than a number' algebraically?

Back

12 + n, where n represents the unknown number.

Front

What does the equation 7x + 2 = 30 represent in a word problem context?

Back

It represents the total cost of buying x pet turtles at $7 each plus $2 for turtle food, equaling $30.

Front

How do you write the inequality for 'Twenty-seven is smaller than 5 times a number increased by 7'?

Back

27 < 5x + 7.

Front

What is the algebraic expression for 'Six decreased by twice a number'?

Back

6 - 2x.

Front

If Ms. Byrd spent $34.50 for donuts after a $3 discount, what was the original price?

Back

The original price was $34.50 + $3 = $37.50.

Front

How do you find the cost of each donut if Ms. Byrd bought donuts for 25 students for $34.50?

Back

Divide the total cost by the number of students: $34.50 / 25 = $1.50 per donut.

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 than or less than another.

Front

What does 'twice a number' mean in algebraic terms?

Back

It means 2 times the number, represented as 2n, where n is the number.

Front

How can you express 'a number increased by 7' algebraically?

Back

n + 7, where n is the unknown number.