Quiz:

    Phase: Simplify each expression (Please Excuse My Dear Aunt Sally)

 Questions:

1. x + 5y – 3x
2. 2p -9p² + 8r² + 2p²
3. 7s + (4s +2t) + 10t
4. 2b³ + 6c –b³ -5c
5. j + k + L -2j – 3k – 4L
6. 2(x + y) – 5x
7. wv + w(v – 1) 
8. 6f⁵g  + 3f² -4g -3f⁵g  + g
9. -9a²+ 5(2b + 3) – b
10. 4(k + m) -9(3k -2m) + k + m

Answer Key:

1. x + 5y – 3x

        x- 3x = 2x

    Answer: 2x + 5y

2. 2p -9p² + 8r² + 2p²

        -9p² + 2p² = -7p²

    Answer: 2p -7p² + 8r²

3. 7s + (4s +2t) + 10t    (Parentheses has nothing to multiply with, so you minus)

         7s - 4s + 2t -10t

    Answer = 3s + 18t

4. 2b³ + 6c –b³ -5c (+, - sign is important (which is next to calculation)

         2b³ – b³ = b³

         6c- 5c = c

    Answer: b³ + c

5. j + k + L -2j – 3k – 4L

         j – 2j = j

         k – 3k = -2k

         l – 4L = -3L

    Answer: J - 2K - 3L (+/- signs are important)

6. 2(x + y) – 5x

         2x + 2y – 5x

         2x – 5x = -3x

    Answer: -3x + 2y

7. wv + w(v – 1)  (parenthesis first - multiply)

         wv + wv – w

    Answer: 2wv

8. 6f⁵g  + 3f² -4g -3f⁵g  + g

         6f⁵g -3f⁵g = -3f⁵g 

         -4g + g = -3g (decrease with positive)

    Answer: -3f⁵g + 3f² -3g

9. -9a²+ 5(2b + 3) – b (parenthesis first - multiply)

         5(2b) = 10b  

         10b - b = 9b

         + 5(3) = 15

    Answer: -9a² + 9b +15

10. 4(k + m) -9(3k -2m) + k + m

         4k – 27k = -27k

          -27k + k  = - 28k

         4k – 28k = -22k

         4m + 18m + m = 23m

    Answer: -22k + 23m