One Solution, No Solution, Infinite Solutions

Front

What does 'One Solution' mean in algebra?

Back

An equation has 'One Solution' when there is exactly one value of the variable that satisfies the equation.

Tags

CCSS.8.EE.C.7B

Front

What does 'No Solution' mean in algebra?

Back

An equation has 'No Solution' when there are no values of the variable that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

Front

What does 'Infinite Solutions' mean in algebra?

Back

An equation has 'Infinite Solutions' when any value of the variable satisfies the equation, meaning the two sides are always equal.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 2x + 3 = 2x + 5

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

Solve for y: 4y - 8 = 4(y - 2)

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve for z: 5z + 2 = 3z + 6

Back

One Solution: z = 2

Front

What is the first step in solving an equation?

Back

Identify and isolate the variable.

Tags

CCSS.7.EE.B.4A

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numbers in front of variables that indicate how many times to multiply the variable.

Tags

CCSS.6.EE.A.2B

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve by reducing it to its most basic form.

Tags

CCSS.8.EE.C.7B