Solve Equations

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

Add 6 to both sides and divide both sides by 5.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve the equation 3(x - 2) = 18.

Back

x = 8.

Front

What is the solution to the equation -3x + 6(1 + 2x) = 2x + 27?

Back

x = 3.

Front

Solve the equation 4 = 2(x + 3).

Back

x = -1.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of performing the same operation on both sides of an equation?

Back

To maintain the equality of the equation.

Front

What is 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 set of an equation?

Back

The set of all values that satisfy the equation.

Front

What does it mean if an equation has no solution?

Back

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