Solving Equations - Algebra 1

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 is the first step in solving the equation: -11 + 3(b + 5) = 7?

Back

Add 11 to both sides.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone.

Tags

CCSS.6.EE.B.7

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.

Tags

CCSS.6.EE.A.3

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Tags

CCSS.8.F.A.3

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation.

Tags

CCSS.8.EE.C.7A

Front

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

Back

You check your solution by substituting the value back into the original equation to see if both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Tags

CCSS.8.EE.C.7B