2-Step and Advanced Equations

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. For example, in the equation 2x + 3 = 7, you would first subtract 3 from both sides and then divide by 2.

Front

Solve the equation: 7(x - 3) = 42

Back

x = 9

Front

What is the first step to solve the equation 4(-3x + 12) = 96?

Back

Distribute the 4 to both terms inside the parentheses: 4 * -3x + 4 * 12 = 96.

Front

What equation would you use to find the cost of each bag of popcorn if 3 friends buy tickets for $8 each and their total bill is $40?

Back

3x + 24 = 40, where x is the cost of each bag of popcorn.

Front

How do you isolate the variable in the equation 20 + 15x = 80?

Back

Subtract 20 from both sides to get 15x = 60, then divide by 15 to find x.

Front

What is the solution to the equation 4(-3x + 12) = 96?

Back

x = -4

Front

If a shopper has $80 and buys one pair of pants for $20, how would you express the remaining money for shirts?

Back

You would express it as 20 + 15x = 80, where x is the number of shirts.

Front

What is the total cost equation for 5 students buying tickets for $7 each and soft pretzels?

Back

The equation is 5x + 35 = 50, where x is the cost of each soft pretzel.

Front

What does it mean to 'distribute' in algebra?

Back

To distribute means to multiply a term by each term inside parentheses. For example, in 4(x + 2), you would calculate 4*x + 4*2.

Front

Solve the equation: 3x + 24 = 40

Back

x = 8