In order to get partial credit, you must type your steps and the solution to each question or problem below. Review the Assignment Instructions before beginning.

Combining Like Terms:

Combine like terms.

1. 8x – 2y – 1 – 3x

5x – 2y – 1

2. -4x2 – 3.1 – 5.2

= -4x2 − 8.3

3. x2 – 3xy – 2xy + 6

= x2 – 5xy + 6

Simplify.

4. –(x – 5) – 3x + 4

-x + 5 – 3x + 4

-x – 3x + 5 + 4

-4x + 5 + 4

-4x + 9

The Addition Property of Equality:

Solve the problem.

5. Is k = -2 a solution of 5k – 6(k – 1) = 8?

5K – 6*(K – 1) = 8

5K – (6K – 6*1) = 8

5K – (6K – 6)= 8

5K – 6K + 6)= 8

-K + 6 = 8

-K = 8 – 6

-K = 2

K = -2

Solve each equation and check your solution.

6. 62 = z – 15

Z – 15 = 62

Z = 62 +15

Z = 77

62 = z – 15

62 = 77 – 15

77 = 77 True

7. -29 + x = -15

X = -15 + 29

X = 14

-15 = -29 + x

-15 = -29 + 14

14 = 14 True

8. -5.62 = y + 11.39

-5.62 = y + 11.39

-5.62 − 11.39 = y + 11.39 − 11.39

-17.01 = y + 0

-17.01 = y

-5.62 = y + 11.39

-5.62 = -17.01+ 11.39

-5.62 = -5.62 True

The Multiplication Property of Equality:

Solve each equation and check your solution.

9. 8 = 16y

Y =

Y = ½

8 = 16 ½

8 = 16 * ½

8 = 8

10. -4 =

-4 * 7 = C

-28 = C

-4 =

-4 = (-28 ÷ 7)

-4 = -4

11. -3.88 = 1.94y

-2 = Y

12. -3r = 0 R = 0

Solving Linear Equations with a Variable on Only One Side of the Equation:

Solve each equation.

13. -2t + 9 = 21

-2t = 21 – 9

-2t = 12 t = -6

14. x + 0.05x = 21

1.05x = 21

X = 20…