Unit 5 Inequalities Review

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.

Tags

CCSS.6.EE.B.8

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -3x ≥ 12?

Back

To solve -3x ≥ 12, divide both sides by -3, which flips the sign: x ≤ -4.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality 8 - k ≥ 50?

Back

To solve for k, rearrange the inequality: -k ≥ 42, which gives k ≤ -42.

Tags

CCSS.7.EE.B.4B

Front

How do you write an inequality for comparing two cell plans?

Back

To compare cell plans A and B, write the inequality: 40 + 0.04x > 30 + 0.09x.

Tags

CCSS.7.EE.B.4B

Front

What is the first step in solving the inequality -2x + 7 < 19?

Back

Subtract 7 from both sides: -2x < 12.

Tags

CCSS.7.EE.B.4B

Front

What is the final solution for the inequality -2x + 7 < 19?

Back

The final solution is x > -6 after dividing both sides by -2.

Tags

CCSS.7.EE.B.4B

Front

How do you represent a cost constraint using an inequality?

Back

You can represent a cost constraint by setting up an inequality that shows the total cost must be less than or equal to a certain amount.

Tags

CCSS.6.EE.B.8

Front

What is the inequality that represents the maximum hours a DJ can play if the total cost must be under $600?

Back

The inequality is 125x + 55 < 600, where x is the number of hours.

Tags

CCSS.7.EE.B.4B

Front

What is the significance of the constant term in an inequality?

Back

The constant term represents fixed costs or values that do not change with the variable.

Tags

CCSS.HSF.LE.B.5