Algebra I- Math 099- Exam 6 Review Problems PDF

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Exam 6 Review Problems

1) Add 15a2b2 – ab and -20a2b2 – 6ab 2) Subtract 3x2 – x +2 from 7x2 + 9x + 8 3) Simplify: (6n2 – 4) – (5n2 + 9) – (6n + 4) 4) Simplify: [x3 – (x2 – x +1)] – [-x3 + (7x2 – x + 10)] 5) Multiply (-a2b)(-4ab3) 6) Multiply (-3a2b)(-ab2)(-7a) 3

7) Multiply ( x4y5)(-x2y) 4 8) Divide 9) Divide

10) Divide

9𝑥 4 𝑦 5 3𝑥𝑦 2

−18𝑥 2 𝑦 2 𝑧 6 𝑥𝑦𝑧 2

−48𝑎3 𝑏𝑐 5 −6𝑎 2 𝑏 4

11) Raise the monomial to the indicated power: (4x2y3)3 12) Raise the monomial to the indicated power: (-2a2b4)4 13) Raise the monomial to the indicated power: - (xy2z4)8 14) Find the product: 9a3b(2a – 3b + 7ab) 15) Find the product: -7ab2(2b3 – 3a2)

16) Find the product: (a + 2b)(x + y) 17) Find the product: (n +2)(n – 7) 18) Find the product: (x+ 6)(x – 6) 19) Find the product: (x-6)2 20) Find the product: (x-4)(x2 + 5x -4) 21) Find the product: (x2 + 2x +1)(x2 +3x +4) 22) Divide: 9𝑥4 +18𝑥3 3𝑥

23) Divide:

−27𝑎3 𝑏 4 −36𝑎2 𝑏 3 +72𝑎3 𝑏 2 9𝑎 2 𝑏 2

Divide using long division

24) 25)

𝑥 2 −7𝑥−78 𝑥+6 15𝑥2 +22𝑥− 5 3𝑥+5

26) (2x3+9x2-17x+6) ÷ (2x – 1) 27) (6x3 - 2x2 + 4x - 3) ÷ (x + 1) 28) (2x3 – x – 6) ÷ (x + 2) 29)

𝑥 3 −125 𝑥−5

Simplify each numerical expression. Express without using zero or negative powers. 1 −3

1) ( 2)

5) (

32

5

−1

) −1

8) 𝑥 2 × 𝑥 −8

2 −2

3 0

2) ( )

3) (− )

6) 27 × 2−3

7) 10−5 × 102

7

9) 𝑏−2 × 𝑏3 × 𝑏−6

4

4)

10) (𝑥 5 𝑦 −1 )−3

𝑎3 𝑏 −2

𝑎−2 𝑏 −4...