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, indicating that the two sides of the equation are equivalent.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 2x + 3 = 7

Back

x = 2

Tags

CCSS.7.EE.B.4A

Front

Solve for x: 5x - 10 = 0

Back

x = 2

Tags

CCSS.6.EE.B.7

Front

Solve for x: 4(x - 1) = 4x - 4

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 3x + 4 = 3x + 5

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

What is the first step in solving the equation 6x - 18 = 4(2x - 3) - (2x + 6)?

Back

Distribute on the right side: 4(2x - 3) becomes 8x - 12 and -(2x + 6) becomes -2x - 6.

Front

What is the solution to the equation -3(x + 6) = -3(2x + 4)?

Back

x = -2 (One Solution).

Front

If an equation simplifies to a statement that is always true, like 0 = 0, what type of solution does it have?

Back

Infinite Solutions.

Tags

CCSS.8.EE.C.7A