Equations and Expressions Review

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 expression?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

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 does it mean to solve for x?

Back

Solving for x means finding the value of the variable x that makes the equation true.

Front

What is the first step to solve the equation -7x + 5 = 19?

Back

Subtract 5 from both sides to begin isolating the variable x.

Front

If 15 = m - 5, what is the correct step to solve for m?

Back

Add 5 to both sides to isolate m.

Front

What is the solution to the equation 96 = 6(k + 8)?

Back

First, divide both sides by 6, then solve for k.

Front

What operation would you use to eliminate division by 11 in the equation k/11 = 3?

Back

Multiply both sides by 11 to isolate k.

Front

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

Back

Inverse operations are used to reverse the effect of an operation, allowing you to isolate the variable.

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.