Units 3 and 4 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

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 5 - 2x ≥ 3?

Back

To solve, first subtract 5 from both sides: -2x ≥ -2. Then divide by -2 (remember to flip the inequality): x ≤ 1.

Front

What is the solution set for the inequality 12 + 3x > 21?

Back

The solution set is x > 3.

Front

What does it mean for a number to be a solution to an inequality?

Back

A number is a solution to an inequality if it makes the inequality true when substituted into it.

Front

What is the first step in solving the equation 4x + 5 - 2x = -9?

Back

Combine like terms: 2x + 5 = -9.

Front

What is the solution to the equation -3x + 7 = -14?

Back

The solution is x = 7.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you represent Katrina's earnings as a function?

Back

Katrina's earnings can be represented as y = 11.70x, where y is the total earnings and x is the number of hours worked.

Front

What does it mean for an equation to be undefined?

Back

An equation is undefined when it does not have a valid solution, often due to division by zero.