One Solution, No Solution, or Infinite Solutions

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation. This often occurs when the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value for the variable that satisfies the equation. This typically occurs when the equations represent lines that intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when there are countless values for the variable that satisfy the equation. This usually happens when the equations represent the same line.

Tags

CCSS.8.EE.C.7A

Front

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

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

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

Back

Infinite Solution

Tags

CCSS.8.EE.C.7A

Front

What is the solution to the equations 3x + 15 = 3(x + 5)?

Back

Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve: 14 - 2(3p + 1) = 6(4 + p)

Back

One Solution

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of no solution?

Back

The graphical representation of no solution is two parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of one solution?

Back

The graphical representation of one solution is two lines that intersect at exactly one point.

Tags

CCSS.8.EE.C.8A