Number of Solutions

Front

What does it mean if an equation has Infinite Solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation, meaning both sides of the equation are always equal.

Front

What does it mean if an equation has One Solution?

Back

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

Front

What does it mean if an equation has No Solution?

Back

An equation has no solution if there is no value of the variable that can satisfy the equation, meaning both sides are never equal.

Front

Solve for r: 6 + 9r = 9r + 6

Back

Infinite Solutions

Front

Solve for b: 2b ‒ 5 = 9

Back

One Solution: b = 7

Front

Solve for p: 8p ‒ 1 = 1 + 8p

Back

No Solution

Front

Solve for c: 4 + 7c = 11

Back

One Solution: c = 1

Front

Solve for q: –2q ‒ 3 = –2q ‒ 8

Back

No Solution

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numerical factors in front of variables that determine the slope and position of the line represented by the equation.