Solving equations with one, none or infinitely many solutions

Front

Solve the equation: 4(x + 2) - 3(x - 1) = 5

Back

x = -6

Front

Solve the equation: 3x + 5 = 2x + 10

Back

x = 5

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

Solve the equation: 9y + 8 = 9y - 8

Back

No Solution

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

Solve the equation: 2(3x + 1) - 4 = 10

Back

x = 2

Front

What is the first step in solving the equation 5(2x - 3) + 4 = 3(4x + 1) - 2?

Back

Distribute the numbers outside the parentheses.

Front

Solve the equation: 5(2x - 3) + 4 = 3(4x + 1) - 2

Back

x = -6

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2