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 30 + 4h = 78?

Back

Subtract 30 from both sides to isolate the term with the variable.

Front

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

Back

y = 6.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows us to find its value by simplifying the equation.

Front

What is the solution to the equation -8 + 2x = -2x + 4?

Back

x = 3.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What does it mean to write an equation from a word problem?

Back

It means to translate the words and relationships described in the problem into a mathematical equation.

Front

What is the equation representing Laura's carnival spending?

Back

0.50x + 20 = 35.

Front

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

Back

x = 6.