Semester Exam Review 2

Front

What does the inequality x ≤ 20 represent in a real-world context?

Back

It means that you can spend 20 dollars or less on your mom's birthday present.

Front

What is the solution to the inequality x > 21?

Back

It means that x can take any value greater than 21.

Front

How do you solve the inequality 4x - 8 < -16?

Back

Add 8 to both sides to get 4x < -8, then divide by 4 to find x < -2.

Front

What does it mean to isolate the variable in an equation?

Back

It means to get the variable by itself on one side of the equation.

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

The solution is x = -1.

Front

What does the inequality x > -18 indicate?

Back

It indicates that x can take any value greater than -18.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included (e.g., x < 2), while a closed circle indicates that the number is included (e.g., x ≤ 2).

Front

What does the term 'combine like terms' mean in algebra?

Back

It means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the purpose of checking the solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

What does the inequality x < 20 represent?

Back

It means that x can take any value less than 20.