Solving Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, 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 2x + 10 = 22?

Back

Subtract 10 from each side to begin isolating the variable x.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 2x - 14 = 6?

Back

x = 10.

Front

What equation represents Ainsley's shirt purchase?

Back

15x - 50 = 400.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to the variable, helping to isolate it.

Front

What is the correct first step in solving the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides.

Front

What is a common mistake when solving equations?

Back

A common mistake is misapplying operations, such as adding instead of subtracting or vice versa.