Solving Two-Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform inverse operations in the reverse order of operations used in the equation.

Front

What is the first step to solve the equation \( \frac{7+x}{2} = 14 \)?

Back

Multiply both sides by 2 to eliminate the fraction.

Front

What is the solution to the equation \( \frac{x}{7} - 8 = 16 \)?

Back

First, add 8 to both sides, then multiply by 7 to isolate x, resulting in x = 168.

Front

How do you check your solution for a two-step equation?

Back

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

Front

What is the solution to the equation 4y + 1 = 13?

Back

Subtract 1 from both sides to get 4y = 12, then divide by 4 to find y = 3.

Front

What is the second step to solve the equation 2x - 3 = 1?

Back

Add 3 to both sides to get 2x = 4, then divide by 2 to find x = 2.

Front

What is the value of c in the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18, then divide by 3 to find c = 6.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it.

Front

What does it mean to 'solve for x'?

Back

To solve for x means to find the value of x that makes the equation true.