Chapter 3 - Algebra Book

Equations A

100

19 = a - 4

a = 23?

200

-15 = 10/11 x 

x = -33/2

300

5x - 16 = 3x

x = 8

400

18 - 3y = 5 (Round to the hundredths.)

y = 4.33

500

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

r = -5

Equations B

100

2 + x = -8

x = -10?

200

17 = 5 - 3p

p = -4

300

12 - 4h = -18 + 11h

h = 2

400

4.5 - 7.2x = 3.4x - 49.5 (Round to the hundredths.)

x = 5.09

500

-5r - 6 + 4r = -r + 2

no solution

Equations C

100

 x/4 = -5 

x = -20?

200

-3/4 x - 2 = -8

x = 8

300

3/5x = 9 - 2/5x

x = 9

400

15 =  2/3 x

x = 

45/2

500

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

all real numbers

Formulas & Functions

100

Solve S = 2πrh for h. (π is the symbol for pi. It's the best I could do.)

h = S/(2pir)

200

3x + 4y = -15 + 6y   (Solve for y.)

y = 3/2x + 15/2

300

C = 2pir

(Solve for r.)

r = C/(2pi)

400

3x + 2y - 4 = 2(5 - y)   Solve for y

y = -3/4x + 7/2

500

Solve for r:

 S = πs(R + r) 

r = S/(πs) - R

 

Rates, Ratios, & %

100

Find the unit rate. (7 frozen yogurt bars for $1.59)

$0.23/bar 

200

Find the average speed. (Ran 3.25 mi in  1/2  hour)

6.5 mi/h

300

Write

3/15

 as a percent.

20%

400

A customer left a 14% tip which was $1.75. How much was the bill?

$12.50

500

You stuffed 108 envelopes in 45 minutes. At this rate, how many envelopes can you stuff in 2 hours?

288