Chapter 3 CPM Review

Distributive Property

100

3 ( 5 + 8)

15 +24 = 39

200

4 (8 + x)

32 + 4x

300

x (4 + 7)

4x + 7x = 11x

400

-.5(3 + x)

-1.5 - .5X

500

-1/4(16x - 4)

-4X + 1

Simplifying Expressions

100

3x + 2 + 13x -1

16x + 1

200

DAILY DOUBLE

-4x² - 2x + 5x + 13 -2x²

-6x² + 3x + 13

300

2xy + 3xy - 2y -13y + 8

5xy - 15y + 8

400

-2x  - 3x + 7 -(5 + x)

-5x + 7 - 5 - x

-6x + 2

500

-(-4x + 2x -5) -2 + 8x

4x - 2x + 5 -2 + 8x

10x + 3

Solving Equations

100

2x + 3 = 9

2x = 6

x = 3

200

-x + 5 = 15

x = -10

300

-2x + 6 + x = 34

Show all steps.

-x + 6 = 34

-x = 28

x = -28

400

3² + x -(-13) -5x = 7 + x

9 + x + 13 -5x = 7 + x

22 - 4x = 7 + x

  15 = 5x

  3 = x

500

5x - 3(-x + 7)  = (x - 12) / 2

5x + 3x - 21 = (x - 12) / 2

8x - 21 = (x - 12) / 2

2(8x - 21) = x - 12 

16x -42 = x - 12

15x = 30

x = 2

Proportions

100

You type 82 words in 3 minutes. How much is this per minute?

82/3 = 27.3

200

You drive 576 miles in 8 hours. How many miles per hour is this?

72 miles per hour

300

Farmer Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in 30 minutes

1. What is each farmer’s rate in carrots per 60 minutes? 

        Janet = __________

        Amy = __________

Janet: 36 feet per 60 minutes

Amy: 34 feet in 60 minutes

400

45  =  x 

27      3

5

500

30 girls and boys have planned a picnic. There are 3 girls to every 7 boys. How many boys are there?

boys:   7   =   x

total    10      30

x = 21

Table/Graph

100

Use the rule to make a table.

   y = -3x + 1

-4    -3    -2    -1    0    1    2    3    4 

13    10    7     4    1    -2   -5   -8   -11

200

Write a rule base on the table:

x    -3      -2      -1      0      1      2       3

y    -2       0       2      4      6       8     10 

y = 2x + 4

300

DAILY DOUBLE

List all of the elements necessary to be considered a complete graph

- labeled axes

-  line that extends across the grid

-rule next to line

- scaled axes

-table with +/- integers

-arrows on the line and axes

400

Would (2,-4) be a point on the line y=10-4x?

-4=10 - 4(2)

-4=10-8

-4≠ 2

NO

500

Finish the table and graph the data:

 -9       6       3       0       -3       -6       9

 -32     11            -5       -14      -23

y = 3x-5

-9       6       3       0       -3       -6       9

-3       2       4       0        -1      -2       22