Equations & Solutions

Is It A Solution?

100

Is b = 17 a solution to b + 7 = 24?

Show work to prove your answer.

b+7 = 24

17+7 = 24

24 = 24

yes

200

Is x=3 a solution to 5x=20?

Show work to prove your answer.

5 * x = 20

5 * 3 = 20

15 = 20

No!

300

Is x = ¼ a solution to x + ½ = ¾ ?

Show work to prove your answer.
(Hint: draw a circle with fourths to support your answer)

x + ½ = ¾ 

¼ + ½ = ¾

¾ = ¾ 

YES

400

Is y = 70 a solution to 0.1y = 15?

Show work to prove your answer.

0.1 * y = 15

0.1 * 70 = 15

7 = 15

NO

Addition Equations

100

Solve the equation

x + 5 = 11

x + 5 = 11

   -5       -5

      x = 6

200

Solve the equation

g + 497 = 900

g + 497 = 900

    -497     -497

          g = 403

300

Solve the equation

x + 3.2 = 7.9

x + 3.2 = 7.9

   - 3.2     -3.2

         x = 4.7

400

Solve the equation

107.95 + p = 322.2

107.95 + p = 322.20

-107.95        -107.95

               p = 214.25

Subtraction Equations

100

Solve the equation

x – 20 = 50

x – 20 = 50

   + 20     + 20

       x = 70

200

Solve the equation

z – 496 = 145

z – 496 = 145

   + 496   +496

          z = 641

300

Solve the equation

L – 93.8 = 117

L – 93.8 = 117

  + 93.8    + 93.8

           L = 210.8

400

Solve the equation

U – 0.476 = 3.23

U – 0.476 = 3.23

    +0.476     +0.476

            U = 3.706

Multiplication Equations

100

Solve the equation

9x = 18

9x = 18

/9      /9

  x = 2

200

Solve the equation

56 = 7w

56 = 7w

/7     /7

  w = 8

300

Solve the equation

2.5m = 912.5

2.5m = 912.5

/2.5       /2.5

     m = 365

400

Solve the equation

1.75k = 6.825

1.75k = 6.825

/1.75      /1.75

      k = 6.825