One Solution, No Solution, Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value of the variable that makes the equation true.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value of the variable that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable makes the equation true.

Tags

CCSS.8.EE.C.7A

Front

Solve for r: 3r - 5 = 2r

Back

r = 5

Front

Simplify and determine the solution: 3x - 7 = 3(x - 3) + 2

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

Solve for z: 8z - 22 = 3(3z + 11) - z

Back

No solution.

Tags

CCSS.8.EE.C.7A

Front

What is the solution to the equation 2x + 4 = 2(x + 2)?

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

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

Back

One solution: x = -2.

Front

What is the first step in solving the equation 4x + 8 = 2x + 12?

Back

Subtract 2x from both sides.

Front

If an equation simplifies to 0 = 0, what does that indicate?

Back

It indicates that there are infinite solutions.

Tags

CCSS.8.EE.C.7A