Solving Equations

Front

What is the first step in solving the equation 7(2x - 4) = 42?

Back

Distribute the 7 to both terms inside the parentheses.

Front

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

Back

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

Front

What is the solution to the equation 2(3x - 4) + 2 = 8x - 2x - 4?

Back

No Solution.

Front

How do you solve the equation 2(x - 1) = 6?

Back

Add 2 to both sides, then divide by 2 to find x = 4.

Front

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

Back

x = -5.

Front

What is the purpose of combining like terms when solving equations?

Back

To simplify the equation and make it easier to isolate the variable.

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

What is the process of checking your solution after solving an equation?

Back

Substituting the solution back into the original equation to verify that both sides are equal.

Front

What is the significance of the equal sign in an equation?

Back

It indicates that the expressions on both sides of the equation are equivalent.

Front

What is a linear equation?

Back

An equation that can be written in the form ax + b = c, where a, b, and c are constants.