Patterns and Relations Solve and verify one-and-two step, first degree equations with integer constants.

 

Multiple Choice

1.  What would you do to both sides of y - 8 = -15 to solve for y?

            a. add 8 to both sides                       b. subtract 8 from both sides

            c. multiply both sides by 8                d. divide both by 8

 

2.  Solve for "x" in x + 4 = 2.

            a. x = 6                 b. x = 2

            c. x = -2                 d. x = -6

 

3.  What would you do to both sides of  c/-4 = -8 to solve for "c"?

            a. divide both sides by -4                    b. add 4 to both sides

            c. multiply both sides by -4                 d. add -4 to both sides

 

4.  Solve for "m" in 4m = 7.

            a. m = 1.75                        b. m = 2

            c. m = 2.25                        d.  m = 2.5

 

5.  Solve for "k" in -5k = -15 .

            a. k = 3                    b. k = -3

            c. k = -10                 d. k = 10

 

6.  Solve for "h" in  h/3 = -9.

            a. h = 27                 b. h = 3

            c. h = -3                  d. h = -27

 

7.  What is the process that will solve for "c" in 3c - 8 = 4?

            a. Step 1: Add 8 to both sides.

                Step 2: Divide both sides by 3.

            b. Step 1: Add 8 to both sides.

                Step 2: Multiply both sides by 3.

            c. Step 1: Subtract 8 from both sides.

                Step 2: Divide both sides by 3.

            d. Step 1: Subtract 8 from both sides.

                Step 2: Multiply both sides by 3.

 

8.  Solve for "v" in 6v + 9 = -21 .

            a. v = -5                 b. v = -2

            c. v = 2                  d. v = 5

 

9.  Solve for "d" in  d/5 - 8 = 2.

            a. d = 2                    b. d = 5

            c. d = 50                  d. d = 30

 

10.  Solve for "y" in -4y - 6 = 2.

            a. y = -1                    b. y = -2

            c. y = 2                     d. y = 4

 

11.  Solve for "m" in  m/-3 + 7 = 5.

            a. m = 36                    b. m = 6

            c. m = -6                     d. m = -36

 

12.  Solve for "x" in 6x + 9 = 6.

            a. x = 2.5                    b. x = 0.5

            c. x = 2                       d. x = -0.5

 

13.  Which is the correct solution to  n/-3 + 9 = 5?

            a. n = 12                     b. n = 36

            c. n = -12                    d. n = -4

 

Short Answer

1.  Solve and verify these 1-step equations. Show all work.

    a.  -3b = 18            b.  c + 7 = 4            c.  12 =  b/-2            d.  -5 = c - 2

 

 

    e.   n/5 = -10            f.  3n = 15               g.  -17 = b - 3

 

 

2.  Solve and verify these 2-step equations. Show all work.

    a.  7w - 12 = 9                b.  -2x + 12 = -4                    c.   n/3 + 6 = 15

 

 

    d.   n/-5 + 4 = 6                e.  5 = 12c - 19                    f.  28 = 14 - 2k

 

Higher Order

Solve these equations. Show all work. Verify the solutions.

1.  m - 3.7 = -5.2                                    2.  w +  1/4 =  5/8

 

 

3.  -1.2t = 0.36                                        4.  3n/4 =  7/8

 

 

5.   d/2.5 - 4.8 = 5.2                                  6.   z/4 -  5/6 =  2/3

 

 

7.  8.2 = 4.7 + 0.7y                                   8.   2s/5+  1/2 =  3/4