Solving Equations and Word Problems with Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 is the first step in solving the equation -8 + 2x = -2x + 4?

Back

Combine like terms and isolate the variable.

Front

What is the solution to the equation 12 - 10x + 5x = -18?

Back

x = 6.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that we want to solve for in mathematical problems.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem expressed in words, requiring translation into an equation to solve.

Front

How do you set up an equation from a word problem?

Back

Identify the unknown, define variables, and translate the relationships described in the problem into an equation.

Front

What does the equation 30 + 4h = 78 represent in a word problem?

Back

It represents the total cost of renting a bouncy house, where $30 is the base cost and $4h is the cost per hour.

Front

What is the solution to the equation 5y - 6 = 24?

Back

y = 6.