Quiz:

Remember the Phase: (Please Excuse My Dear Aunt Sally)

Questions:

1. 3r ²+ 4t (Find the value of each expression when r = 3 and t = -2
2. –r + 5t -2t + 9r
3. 6r -3t² + 4t -2r
4. 4rt – 2r(8 +t)
5. 2a + 3b - 4c –(5a + 4b) (Find the value of each expression when a = -3, b =6, and c=1)
6. 4(a – b + 2c) + c(a – 3)
7. 3c - 3ab + b(3a +c)
8. 5b + 2b(c –a) + 3ab
9. 6(3w + x) +2y – 3(w – z)
10. w² – 3x + 5(z + 4) -10 (1/2z + y)

 

 

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Find the value of each expression when r = 3 and t = -2

1. 3r ²+ 4t

          3(9) = 27

          4(-2) = -8

Answer: 27 -8 = 19

 

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2. –r + 5t -2t + 9r

          -r +9r = 8r

          8(3) =24

 

          5(t) – 2(t) = 3t

          3(-2) = -6

 

Answer: 24 - 6 =18

 

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3. 6r -3t² + 4t -2r

          6r – 2r = 4r

          4(3) = 12

 

        -3(t²) + 4t = 1(-2) ²

        1(-2) ² = -4

 

Asnwer: 12 – 4 = -8

 

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4. 4rt – 2r(8 +t)

          -2r(8) = -16r

          -2r(t) = 2rt

 

        -16(3) = -48

 

        4rt – 2rt = 2rt

        2(3) = 6 

        6(-2) = -12  (this is the 2(r) & (t) together) add & multiply again)

           

Answer: -48 + -12 = 60

           

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Find the value of each expression when a = -3, b =6, and c=1

 

5. 2a + 3b - 4c –(5a + 4b)

          2a – 5a = 3a

          3b – 4b = b

          -4c = -4c

         = 3a + b -4c

 

Replace variables with digits: when a = -3, b =6, and c=1

          3(-3) = -9

          B * 6 = 6

          -4(1) = -4

 

          -9 + 6 = -3

          -3 -4 = -1

Answer: -1

 

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6. 4(a – b + 2c) + c(a – 3)

          a + b + c

          4(a) = 4(a)

          4(b) = 4(b)

          4(2c) = 8(c) - (ac1(-3) = -3c) = 8c -3c = 5c

 

          +

          C = 1(-3) = – 3

 

          4(-3) – 4(6) + 5(1) -3

          -12 – 24 + 5 -3 = Turn left (-12+ -24 = -36)

                        -36 + 5 = Turn right (-36 + 5 = 31)

                                    -31 + – 3 = Turn left (-31 + -3 = -34)

Answer: -34

 

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7. 3c - 3ab + b(3a +c)

          -3ab + 3ab = 0

         3(c) + b(c) =  3*1 + 6*1 = 3 + 6

         = 3 + 6 = 9

Answer: 9

 

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8. 5b + 2b(c –a) + 3ab

          -2ab + 3ab = ab

          5b + 2bc + ab

 

          5(6) + 2(6)(1) +(-3)(6) =

          5 * 6 = 30

          2 * 6 = 12 * 1 = 12

          -3 * 6 = -18

          30 + 12 – 18 = 24

Answer: 24

 

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Find the value of each expression when w = 1, x = -2, = y = 3, and z = -4

(Please Excuse My Dear Aunt Sally)

 

9. 6(3w + x) +2y – 3(w – z)

          w, x, y, z

          6(3)(w)  = 18 * 1 = 18

          -3(w) = -3

         18 – 3 = 15

 

          6(x) = 6 * -2 = -12

          + 2y  = 2 * 3 = 6

          -3(z) = -3 * -4 = -12 (multiplied then stay negative) (add then it is positive)

 

          15 -12 + 6 -12 = -3 (How: (15-12 = 3) (3+6= 9) (9 – 12 = -3)

Answer: -3

 

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10. w² – 3x + 5(z + 4) -10 (1/2z + y)

          w², x, y, z

 

          1² = 1 * 1 = 1

          -3x = -3(-2) = 6

 

          5(z)  -10(1/2) = 5 – 5 = 0

          5(4) = 20

 

          -10(y) = -10(3) = -30

 

1 + 6 + 20 -30 = -3 Answer: