Literal Equation Lab

Name:  ___________________________________              Date:  __________________

1.  Solve for z:              x = -5u – 4z

            a.                                  c. 

            b.                                  d. 

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2.  Solve for z:              y = -3tz

            a.                                 c. 

            b.                                              d. 

3.  Solve for W:            P = 2L + 2W

            a.                                       c. 

            b.                                     d. 

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4.  Solve for H:

            a.                                         c. 

            b.                                          d. 

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5.  Solve for R:

            a.                                           c. 

            b.                                        d. 

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6.  Solve for y:              2x – 3y = 10

a.                                              c. 

b.                                                d. 

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7.  Solve for s:              5s + 2w = 9

a.                                                c. 

b.                                                 d. 

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8.  Solve for b:              t = 4d + 7b

a.                                                    c. 

b.                                             d. 

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9.  Solve for h:              p + 6h = 5

a.                                                     c. 

b.                                                     d. 

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10.  Solve for n:            x – 5n = 12

a.                                                c. 

b.                                              d. 

ANSWERS TO LITERAL EQUATIONS LAB

1.  D                Solve for z:       x = -5u – 4z

x = -5u – 4z

Step 1:  Get z on one side:                            +5u    +5u

                                                            x + 5u = -4z

Step 2:  Get z alone:                                 -4        -4

Step 3:  Divide both terms by -4          

Step 4:  Pull the fraction in front:           

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2.  C                Solve for z:                   y = -3tz

Step 1:  Get z alone:                              y = -3tz

                                                         -3t    -3t

Answer:                                               

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3.  D                Solve for W:    P = 2L + 2W

Step 1:  Get W on one side:                  P = 2L + 2W

                                                         -2L   -2L

    P – 2L = 2W

Step 2:  Get W alone:                       2          2

Step 3:  Divide both terms by 2:           

Step 4:  Pull the fraction out:     

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4.  C                Solve for H:     

Step 1:  Move the divided by 2:                       

Step 2:  Get H alone:                                        2A =BH

                                                                         B      B

Answer:                                                           

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5.  A                Solve for R:

Step 1:  Get R alone:                

Answer:                                   

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6.  B                Solve for y:       2x – 3y = 10

Step 1:  Subtract 2x from both sides

                                                2x – 3y = 10

                                              -2x _______  -2x

                                                -3y = -2x + 10

Step 2:  Divide both sides by -3

                                                -3y = -2x + 10

                                                -3           -3

Step 3:  Divide the -3 to each term on the right side

                                                y = -2x  + 10

                                                      -3       -3                                                                           

Final Answer:              

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7.  D                Solve for s:       5s + 2w = 9

Step 1:  Subtract 2w from both sides

                                                5s + 2w = 9

                                                     - 2w     -2w

                                                5s = -2w + 9

Step 2:  Divide both sides by 5

                                                5s = -2w + 9

                                                5          5

Step 3:  Divide the 5 to each term on the right side

                                                s = -2x + 9

                                                        5     5

Final Answer: 

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8.  A                Solve for b:                   t = 4d + 7b

Step 1:  Subtract the 4d to both sides

                                                t = 4d + 7b

                                           -4d    -4d                                          

     t - 4d = 7b

Step 2:  Divide both side by 7.

                                        t – 4d= 7b

                                           7        7

Final Answer:                

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9.   A               Solve for h:                   p + 6h = 5

Step 1:  Subtract p from both sides

                                    p + 6h = 5

                                  -p             - p

                                    6h = 5 - p

Step 2:  Divide both sides by 6

                                    6h = 5 - p

                                    6        6

Final Answer:                                                                                                               

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10.  C              Solve for n:       x - 5n = 12

Step 1:  Subtract x from both sides

                                    x - 5n = 12

                                  -x              -x

-5n = -x + 12

Step 2:  Divide both sides by -5

-5n = -x + 12

-5          -5

Step 3:  Divide each term on the right by -5

                                    n = -x + 12

                                          -5    -5      

Final Answer: