Solving Equations: Solution Types

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.

Tags

CCSS.6.EE.A.2C

Front

What does it mean for an equation to have 'no solution'?

Back

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

Tags

CCSS.8.EE.C.7A

Front

What does it mean for an equation to have 'one solution'?

Back

An equation has 'one solution' when there is exactly one value for the variable that satisfies the equation.

Tags

CCSS.8.EE.C.7B

Front

What does it mean for an equation to have 'infinite solutions'?

Back

An equation has 'infinite solutions' when any value for the variable satisfies the equation, meaning the two sides of the equation are equivalent for all values.

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 3(x-8)=3x-24

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 5x + 4 = 3(2x - 5) - (x + 5)

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 7x + 3 = 5(2x + 5) - (3x + 22)

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 6x - 18 = 4(2x - 3) - (2x + 6)

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 6(m+3)=2(m+5)

Back

One Solution

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Tags

CCSS.6.EE.A.2B