Solving Multi-Step Equations

solve equations

100

5x + 2 + 2x = 23

x = 3

200

3x + x - 8 = 4

x = 3

300

3x + 12 = -9 + 6x 

x = 7

400

3y - 6 = 14 + 5y - 10

y = -5

500

-2(4 - x) - 7 = 5

x = 10

how many solutions

100

9x + 24 = -3x

one

x = -2

200

24x - 8 - 10x = -2(4 - 7x)

infinite solutions

300

9(-5 - x) = -10 - 2x

one

x = -5

400

2x - 5x + 11 = 2 - 3x + 9

infinite solutions

500

6y - 3 = 10 - 6(2 - y)

no solution

formulas

100

D = RT

solve for R

R = D / T

200

I = PRT

solve for R

R = I / PT

300

P = 2(L + W)

solve for L

L = (P - 2W) / 2

400

R = pV / nT

solve for p

p = (RnT) / V

500

S = B + 1/2PL

solve for P

P = 2(S - B) / L

y as a function of x

100

5x + y = -8

y = -5x - 8

200

2x - y = 5

y = 2x - 5

300

15x + 5y = 45

y = 9 - 3x

400

12x - 2y = 13

y = 6x - 6.5

500

y/5 - 7 = -2x

y = -10x + 35

write an equation

100

Nine times the difference of two and a number is thirty-six.

9(2 - x) = 36 

x = -2

200

Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

x + 3 = 11 

x = 8 so 8 yrs old

300

Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $91. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?

7x = 91 

x = 13 so 13 t-shirts 

400

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

4x - 3 = 109 

x = 28 so 28 apples

500

Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

17x + 2.97 = 34.76 

x = 1.87 so $1.87