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Adding & Subtracting Integers
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Adding and Subtracting with Variables
Multiplying and Dividing with Variables
100

5x - 19;   when x = 3 

5x - 19; when x = 3 

5(3)  - 19

15 - 19

-4 

100

-5 - 4 

-9 

100

Translate and Solve:

The sum of x and 7 is 13

The sum of x and 7 is 13

          x + 7 = 13

            x = 6 

100

x - 9 = 15

x = 24

100

4x = 28

x = 7

200
10 - 24/x;    when x = 6 

10 - 24/x;     when x = 6

10 - (24/(6)) 

10 - 4 

6

200

3 + -2 - 3

-2

200

Translate and solve: 

9 less than x = 15 

9 less than x = 15

        x - 9 = 15

          x = 24 

200

x + 4 + 5 = 11

x = 2

200

12x = 156

x = 13

300

8r - 4s + 22;     when r =3, and s=5

8r - 4s + 22;     when r =3, and s=5

8(3) - 4(5) + 22

24 - 20 + 4

8

300

(-3) + (-3) - (-3) - (-3) + 2 

2

300

Translate and solve:

The product of x and 5 results in 35. 

The product of x and 5 results in 35.

          5x = 35

            x = 7 

300

x - (9/ (5 - 2)) = 7

x - (9 / (5-2)) = 7

x - (9 / (3) = 7

x - (3) = 7 

x = 10

300

(x/2) = 7 

x = 14

400

Is x = 2 the solution of:   1/2x + 9 = 5x?  

Yes:

 1/2(2) + 9 = 5(2) 

    1   +   9  = 10 

       10 = 10 

400

(2 - 7) + ((-4) - 2) - (6 - 3)

(2 - 7) + ((-4) - 2) - (6 - 3) 

    -5   + (-6)   - (3)

         -11 - 3

           -14

400

The quotient of x and 7 is 6

The quotient of x and 7 is 6 

            x/7 = 6

           7(x/7) = 6(7)

                x = 42

400

( l 3 - 8 l )2 - (3(4))  + x = 1

( l -5 l )2 - (3(4)) + x = 1 

(5)2 - (3(4)) + x = 1

25 - (3(4)) + x = 1 

25 - 12 + x = 1 

13 + x = 1 

x = -12

400

(x / (5 - 9) = 3

x = -12

500
Is x = 3 y = 2 a solution of:   2x - 3y + 5 = 3x - 2y 

Yes

2(3)  - 3(2) + 5  = 3(3) - 2(2)   

    6  - 6 +     5   =      9   -  4 

                   5 = 5 

500

(12 - 18) - (5 - 2) + (2(-3)) - (4 - 7)

(12 - 18) - (5 - 2) + (2(-3)) - (4 - 7) 

    (-4)      -  (3)    +   (-6)   - (-3)

             -7          +        -3

                    -10 

500

Twice the difference of x and 2 is 10. 

Twice the difference of x and 2 is 10.

      2(x-2) = 10 

      (2(x-2)/2) = 10/2

          x - 2 = 5 

              x = 7 

500

2x + 2x = 16

2x + 2x = 16

    4x = 16

     x = 16

500

(3(2)(4)(1))x = 72 

x = 3