Pre-Alg/Alg - chpts 1 - 3 review

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100

7(5x+1)

35x+7

200

4(3x+7)

12x+28

300

12(4p-5)

48p-60

400

-2(8w+6)

-16w-12

500

-4(3y-5)

-12y+20

Simplify

100

10m - 9 + 3m - 8

13m - 17

200

6 + (15 + 7x)

21 + 7x

300

-7m - 8 - 7 - (-3m)

-4m-15

400

9w² + 2w - 8w + 7

9w² - 6w + 7

500

4(5 + 3p) + 2(-10p + 4)

-8p + 28

solve - 1 step

100

x/4 + 3 = 10

x = 28

200

-3x = 84

x = -28

300

p - (-14) = 11

P = -3

400

-5 + k = -44

k = -39

500

-20 = 4n + 6 - 3n

n = -26

solve 2 step

100

5a - 2 = 33

a = 7

200

x/(-5) + 1 = -4

x = 25

300

3y - 9 - 6y = 24

y = -11

400

-12 - 4 = -6 + k/2

k = -20

500

3 - 6w = 15

w = -2

word problems

100

Twice a number increased by twelve is the opposite of 20.  Find the number.

x = a number

2x+12=-20

x = -16

200

Three less than four times a number is 21.  Find the number.

n = a number

4n - 3 = 21

n = 6

300

Bob swam 24 times in the month of September.  This is twenty four times less than the number of times he swam all last year.

x = # times Bob swam last year

24 = x - 24

x = 48

400

Bob ate some apples last week.  Brad ate eight more than Bob.  Together they ate 22 apples.  How many apples did each eat?

x = # apples Bob ate

x + 8 = # apples Brad ate

x + x + 8 = 22

Bob ate 7 apples, Brad ate 15 apples

500

The pool man charges $50 plus $15 per hour to work on the pool.  The total bill was $140.  How many hours did the pool man work?

x = # hours pool man worked

50 + 15x = 140

x = 6 hours