Building Blocks Assignment Student Name: Flores, Brenda

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