Unit 3 - Flashcard #2 REVIEW (OL)

Front

What is the equation to determine how many donuts Mr. Thompson can buy if he spends $35 on donuts at $3 each and $2 on coffee?

Back

Let d = number of donuts. The equation is: 3d + 2 = 35.

Front

Solve for x: 18 = 3(3x - 6)

Back

x = 4.

Front

Solve for x: (2/3)(5x + 6) = 34

Back

x = 9.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

Which equation models Cheryl's earnings if she earns $8 per hour and $15 for working late, totaling $96?

Back

8h + 15 = 96.

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside parentheses.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to get the variable alone on one side.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.