Equations with Variables and Distributing on Each Side

2 x - 3 + 4 x = 27

• x = 5

• x = 14

• x = 12

• x = 15

4 x + 3 = 2 x - 3

• x = - 3

• x = 10

• x = 2

• x = 0

14 x - 20 = 22 + 21 x

• x = - 6

• x = 1

• x = -2

• x = - 7

A ______________ is a symbol (typically a letter) that takes the place of a number that is unknown.

• coefficient

• factor

• variable

• constant

In math terminology, to distribute means to _____________________.

• divide

• multiply

• add

• subtract

• square root

Variables by themselves have a coefficient of __________.

• 1

• -1

• 0

• they don't have one

The value directly in front of a variable in an equation or expression.

• Absolute Value

• Constant

• Coefficient

• Integers

Solve the formula for t. What is the 1st step?

• Multiply each side by t.

• Subtract f from each side.

• Divide each side by t.

• Add s to each side.

Solve the equation below. Enter your answer using set notation {}.

Ms. Wagner is buying lobster tails and steaks for a dinner party. When she gets to the store, she sees that each lobster tail is $5.50 more than each steak. She ends up buy 9 lobster tails and 12 steaks and spends a total of $319.35. What is the combined cost of one lobster tail and one steak? Enter only a number, no dollar sign needed.