Equations/Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants, and is often written in the form 'A = B'.

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, or not equal to the other, using symbols like >, <, ≥, or ≤.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

Front

What is the solution to the inequality 3x - 5 < 4?

Back

x < 3.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 4x + 8 = 24?

Back

Subtract 8 from both sides to get 4x = 16.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be either greater than or equal to the value on the right.

Front

If 5x + 10 ≥ 100, what is the first step to solve for x?

Back

Subtract 10 from both sides to get 5x ≥ 90.

Front

What is the solution to the inequality 2x + 3 > 7?

Back

x > 2.