Unit 3 : EQUATIONS WITH VARIABLES ON BOTH SIDES -in class review

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n + -6n.

Front

What should you do next after simplifying 1 + 4n = 10 - 14n?

Back

Collect the variables (letters) to the left.

Front

What is the first step to solve -3(x - 2) = -8 + 9b?

Back

Distribute -3 to the x and -2.

Front

What is the final answer to the equation 4(x - 2) = -3 + 5x?

Back

-5.

Front

What operation did Jacob perform to go from Step 1 to Step 2 in solving 5x + 9 = 2x - 3?

Back

Subtracted 2x from both sides of the equation.

Front

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

Back

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

Front

What is the purpose of isolating the variable in an equation?

Back

To solve for the variable's value.

Front

What does it mean to 'distribute' in algebra?

Back

To multiply each term inside a parenthesis by the term outside.

Front

How do 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 general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.