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Two-Variable Equations
100

12 = 8 + y

4 = y

100

What's the inverse operation of subtraction?

Addition

100

5a = 25

a = 5

100

The sum of a number x and 12 is 32

x + 12 = 32

100

Tell wether (0, 8) is a solution to y = 3x + 5

No!

200

130 = a - 100

230 = a

200

Tell whether x=40 is a solution to  x - 12 = 28

Yes

200

a/9 = 9


a = 81

200

a number b decreased by 13 is the same as 42

b-13=42

200

Tell wether (4, 3) is a solution to y=2x -5

yes!

300

33 + a = 76

a = 43

300

x/3 = 1/4

What would be the first step to solving the equation?

multiply both sides by 3

300

625 = 25a

25 = a

300

72 is the same as the product of g and 12

72 = 12g

300

Identify the Independent and dependent variables: The equation k=60h represents the distance k of a train after traveling for h hours.

IV: h

DV: k

400

 a-10.25 = 18.75

a = 29

400

Word used for the term that stands alone without a coefficient in an equation or expression. 

Constant (+12, -32.5, x 6, etc.) 

400


1/7 a = 4

a = 28

400

8 is the quotient of x and 9

8 = x/9

400

Tell wether (10, 35) is a solution to y=3x -5

No!

500

12.01 + b = 36.1

b = 24.09

500

When you know your answer is correct, you have done this.

Checked the solution works in the original equation. 
500

7/8k = 21

k = 24

500

You have $4. You and your friend have a total of $13, how much does your friend have?

Write and solve an equation.

4+x=13

x=9

500

Identify the Independent and dependent variables: You are making bracelets. The equation b=5d+10 represents the amount of b bracelets you have after d days.

IV: d days

DV: b bracelets