Two Step Equation Test Review

Front

What is the first step in solving the equation \( \frac{4}{5}p - 8 = 8 \)?

Back

Add 8 to both sides of the equation.

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

How do you solve the equation \( -6w + 1 = -11 \)?

Back

Subtract 1 from both sides, then divide by -6.

Front

What is the solution to the equation \( 3x + 6 = -9 \)?

Back

Subtract 6 from both sides, then divide by 3 to find \( x = -5 \).

Front

What is the purpose of writing an equation from a model?

Back

To represent a real-world situation mathematically.

Front

What is the solution to the equation \( 2x - 4 = 10 \)?

Back

Add 4 to both sides, then divide by 2 to find \( x = 7 \).

Front

What does it mean to 'solve' an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the general form of a two-step equation?

Back

An equation that requires two operations to isolate the variable.

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation \( 5x + 3 = 18 \)?

Back

Subtract 3 from both sides, then divide by 5 to find \( x = 3 \).