Solving Equations

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 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 are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

How do you isolate a variable in an equation?

Back

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

Front

Back

Multiply both sides by 4 to eliminate the fraction.

Front

Solve for x: -2x + 4 = 5 - 3x. What is x?

Back

x = 1.

Front

Simplify the expression: 2x + 1 + 7x. What is the result?

Back

9x + 1.

Front

What is the solution to the equation 8 = m - 12?

Back

m = 20.

Front

Back

First, distribute 3 to both terms in the parentheses, then isolate x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.