Integrated Math Exam 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.

Front

Write an inequality for the statement: 'Two less than x is greater than eight.'

Back

x - 2 > 8

Front

How do you solve the inequality x - 2 > 8?

Back

Add 2 to both sides: x > 10.

Front

What does the solution t ≤ 1 represent on a number line?

Back

It represents all numbers less than or equal to 1, including 1 itself.

Front

Write an inequality for the statement: 'One hundred plus forty times x is less than or equal to three hundred seventy-five.'

Back

100 + 40x ≤ 375

Front

How do you solve the inequality 100 + 40x ≤ 375?

Back

Subtract 100 from both sides: 40x ≤ 275, then divide by 40: x ≤ 6.875.

Front

What does the solution y ≤ 5 represent on a number line?

Back

It represents all numbers less than or equal to 5, including 5 itself.

Front

What is the solution to the inequality k < 5?

Back

The solution is all numbers less than 5.

Front

What does 'no solution' mean in the context of inequalities?

Back

It means there are no values that satisfy the inequality.

Front

Write an inequality for the statement: 'The temperature is at most 10 degrees.'

Back

T ≤ 10