Solving Equations Variables on Both Sides

Front

What is an equation?

Back

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

Tags

CCSS.6.EE.A.2C

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.

Tags

CCSS.8.EE.C.7B

Front

What are variables in an equation?

Back

Variables are symbols (usually letters) that represent unknown values in an equation.

Tags

CCSS.6.EE.A.2B

Front

What is the goal when solving equations with variables on both sides?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation -5k + 10 = -2k - 14?

Back

The first step is to add 2k to both sides to combine like terms.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

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.

Tags

CCSS.6.EE.B.5

Front

What does it mean if an equation has no solution?

Back

It means there are no values for the variable that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

Front

What is a flat fee in a pricing model?

Back

A flat fee is a fixed charge that does not change regardless of the amount of service provided.

Front

How do you set up an equation to compare two pricing models?

Back

Set the total costs of both models equal to each other and solve for the variable representing hours.

Tags

CCSS.7.EE.B.4A