EQUATIONS

All About Equations

100

A letter that takes the place of an unknown number is...

A variable

200

True or False: An equation can have more than one variable.

True

300

What is the difference between an expression and an equations?

An equation has an equal sign and can be solved. An expression does not have an equal sign and can only be simplified.

400

Name the 4 types of equations you are/will learn about.

One Step Two Step Multi Step Variable on both sides

500

A multi step equation has how many steps?

3 or more

One Step Equations

100

Solve.. x + 7 = 11

x = 4

200

4 + y = -10

y = -14

300

9 - x = 15

x = -6

400

-2h = 18

h = -9

500

(1/2)x = 21

x = 42

Two Step Equations 1

100

Name the two steps in solving two step equations.

1) Add/Subtract 2) Multiply/Divide

200

Solve.. 2x + 6 = 24

x = 9

300

(p/4) - 9 = 11

p = 80

400

-7 + 3x = 14

x = 7

500

-3 - 4x = -27

x = 6

Two Step Equations 2

100

To move a number from one side of the equation to the other, you must...

Do the opposite operation.

200

Solve... (3/4)x - 4 = 20

x = 32

300

3 - (2/3)y = 15

y = -18

400

(4 + x)/5 = 12

x = 56

500

(8 - x)/2 = 17

x = -26

Real Life Problems

100

Write an equation.. Josh earns 490 dollars per week plus 15 dollars per hour for each hour of overtime. If he brought home 565 dollars, how many hours of over time did he work?

$490 + $15h = $565

200

Write an equation.. An electrician charges 30 dollars an hour plus a 20 dollar service charge. If you pay him a total of 180 dollars, how many hours did he work?

$30h + $20 = $180

300

Write an equation and solve.. Greg got a go cart 4 years ago for his birthday. He sells is for 1/3 of the the price it originally cost plus a 50 dollar title fee. If Greg gets 1050 dollars, how much did the go cart originally cost?

(1/3)c + 50 = 1050 c = $3000

400

Write an equation and solve.. Tamara is a waitress. She makes an hourly wage of 3.50 dollars plus tips. If she earned 100 dollars tips on Monday and made 121 dollars for Monday, how many hours did she work?

$3.50h + $100 = $121 h = 6

500

Write an equation and solve.. A football team are going to sell autographed jerseys for 25 dollars each. If at the first game they made 1400 dollars but brought in a total of 2200 dollars, how many jerseys will they have to sell?

$1400 + 25j = $2200 j = 32