Equations
Definitions
Equations
word problems
Combining like terms
100

what is 3x+7=25?

x = 6

100

Constant

A number by itself that does not change

100

What is 5(x−2)=3x+6?


x = 8

100

Janel bought 3 pairs of jeans and 2 shirts for a total of $160.
Each pair of jeans costs $10 more than a shirt.
How much does one pair of jeans cost?

$36 per pair of jeans

100

3x+5+4x+2

7x+7

200

What is 4x−5=3x+2?

x = 7

200

Coefficient

The number that multiplies the variabl

200

What is 7x+9=2x+24?

x = 3

200

David has $50 saved and adds $25 each week.
His sister already has $200 saved and adds $10 each week.
After how many weeks will they have the same amount?

10 weeks

200

6y+9+2y−4

8y+5

300

what is 2(3x+4)=5x+14?

x = 6

300

Variable

A letter or symbol that represents an unknown number.

300

What is 3x+15=60?

x = 15

300

Maria earns $8 per chore plus a $20 weekly allowance.
If she wants to save $100, how many chores must she complete?

10 chores

300

9a−3+5a+6

14a+3

400

What is 1/2(x+6)=8?

x = 10

400

Terms

A term is a number, variable, or a combination of both that are separated by addition or subtraction signs in an expression.

400

what is 2.5x+4=1.5x+9

x = 5

400

A group of friends spent $112 at the movie theater.
They bought 4 adult tickets and 6 child tickets.
Adult tickets cost $4 more than child tickets.
Find the cost of an adult ticket.

$13.60 per adult ticket

400

7m+2n+3m−n

10m+n

500

What is −3(x−4)+2=14?

x = 0

500

Like Terms

Like terms are terms that have the same variable(s) raised to the same power

500

What is −4(x+3)+2x=10

x = -11

500

A car rental company charges $45 per day plus $0.30 per mile.
You have $105 to spend and need the total cost to be $105.
How many miles can you drive in one day?

200 miles

500

5x+8−2x+4

3x+12