Equations Study Guide

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 and an equal sign.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operators (such as +, -, *, /) without an equal sign.

Tags

CCSS.6.EE.A.2B

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.

Tags

CCSS.6.EE.B.7

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Tags

CCSS.8.EE.C.7B

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 is the first step in solving the equation k - 10 = 7?

Back

Add 10 to both sides of the equation to isolate k.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation x - 62 = 123?

Back

x = 185, found by adding 62 to both sides.

Tags

CCSS.6.EE.B.7

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equal sign, while an equation does.

Tags

CCSS.L.1.5A

CCSS.L.1.5B

CCSS.L.K.5A

Front

What operation would you perform to solve 2x = 10?

Back

Divide both sides by 2 to isolate x.

Tags

CCSS.HSA.REI.A.1

Front

What is the solution to the equation 2x = 5?

Back

x = 2.5, found by dividing both sides by 2.

Tags

CCSS.6.EE.B.7