Chp 1 Review Day 1

Evaluating Expressions

100

|k - 10| for k = 15

|k - 10|

|15 - 10|

|5|

5

200

|3 - 2x| for x = 5

|3 - 2x| 

=|3 - 2(5)|

=|3 - 10|

=|-7| 

=7

300

-2|5x - 4| for x = -2

-2|5x - 4|

-2|5(-2) - 4|

-2|-10 - 4|

-2|-14|

-2(14)

-28

400

(x+1)/2 for x = -1

(x+1)/2 

=(-1+1)/2

=0/2

=0

500

x²/(x-5) for x =-3

x²/(x-5) 

(-3)²/(-3-5)

9/(-3-5)

9/(-8)

9/-8

Solving One-Step Equations

100

y + 2 = 7

y + 2 = 7

y + 2 = 7 

    -2   -2

    y = 5

200

m - 6 = 10

m - 6 = 10

m - 6 = 10 

   + 6    + 6

     m = 16

300

9 + n = 13

 9 + n = 13

 9 + n = 13 

- 9         - 9

       n = 4

400

4x = 20

4x = 20

4x/4 = 20/4

x = 5

500

v/5 = 3

      v/5 = 3

5 * v/5 = 3 * 5

        v = 15

Solving Two-Step Equations

100

2x + 1 = 11

2x + 1 = 11

2x = 11 - 1

2x = 10

x = 5

200

x/5  - 1 = 2

x/5  - 1 = 2

x/5 = 2 + 1

x/5 = 3

x = 3 (5)

x = 15

300

x/2 - 4 = 6

x/2 - 4 = 6

x/2 = 6 + 4

x/2 = 10

x = 10 (2)

x = 20

400

x/4 - 2 = 3

x/4 - 2 = 3

x/4  = 3 + 2

x/4 = 5

x = 5 (4)

x = 20

500

x/2 - 1 = 6

x/2 - 1 = 6

x/2  = 6 + 1

x/2 = 7

x = 7 (2)

x = 14

Solving Multi-Step Equations

100

6x - 2(x - 5) = 46

6x -2x +10 = 46

4x +10 = 46

4x = 36

x = 9

200

10 ( 2 + 3z) = 110

z = 3

300

5(2x + 6) = 20 + 11x

5(2x + 6) = 20 + 11x

10x + 30 = 20 + 11x

-11x  -30    -30  -11x

 -1x       = -10

/-1             /-1 

x = 10

400

2(3x - 4) + 5 = 4x + 9

6x - 8 + 5 = 4x + 9

6x - 3 = 4x + 9

2x = 12

x = 6

500

−5(4x − 2) = −2(3 + 6x)

-20x + 10 = -6 - 12x 

-8x + 10 = -6

-8x = -16

x = 2