Solving Equations Reassessment

Front

What is the first step to solve the equation 3(2x + 5) = 39?

Back

Distribute the 3 to both terms inside the parentheses: 6x + 15 = 39.

Front

How do you isolate x in the equation 2x + 3x + 4 = 44?

Back

Combine like terms (2x + 3x = 5x) to get 5x + 4 = 44, then subtract 4 from both sides.

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 -3(x - 20) = 15?

Back

x = 15.

Front

What is the process to solve the equation 8x - 6x + 4 + 5 = 19?

Back

Combine like terms (8x - 6x = 2x) to get 2x + 9 = 19, then isolate x.

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 6(3x - 5) - 7x = 25?

Back

x = 5.

Front

What does it mean to 'combine like terms' in an equation?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 3(2x + 5) = 39?

Back

Distribute the 3 to both terms inside the parentheses.

Front

How do you check if your solution x = 4 for the equation 3(2x + 5) = 39 is correct?

Back

Substitute x = 4 back into the original equation and verify both sides are equal.