One Solution, No Solution, Infinitely Many Solutions

Front

What does it mean if an equation has one solution?

Back

Only this ONE solution will make the equation true.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has no solutions?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinite solutions?

Back

No matter what constant is substituted in for the variable, the equation is ALWAYS true.

Tags

CCSS.8.EE.C.7A

Front

Simplify the equation: 3x - 7 = 3(x - 3) + 2. What is the solution?

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7B

Front

Simplify the equation: 12(x + 3) = 4(2x + 9) + 4x. What is the solution?

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

Simplify the equation: 3x - 8 = 3(x - 4) + 1. What is the solution?

Back

No solutions.

Tags

CCSS.8.EE.C.7B

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, often represented as 'm'.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.