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PreCalc Foundations Review

Total questions: 12

Worksheet time: 23mins

Name
Class
Date
1.

Simplify the Expression

a)

4a2b129\frac{4a^2b^{12}}{9}

b)

4a2b1215\frac{4a^2b^{12}}{15}

2.

Simplify the expression

a)

−k2−5k−5-k^2-5k-5

b)

−k2−5k−2-k^2-5k-2

3.

Completely factor each expression

a)

2w(3w−1)(2w+5)2w\left(3w-1\right)\left(2w+5\right)

b)

5w(6w−1)(2w+5)5w\left(6w-1\right)\left(2w+5\right)

4.

Completely factor each expression

a)

27(r+2)(r2−2r+4 )27\left(r+2\right)\left(r^2-2r+4\ \right)

b)

9(r+2)(r2−6r+4 )9\left(r+2\right)\left(r^2-6r+4\ \right)

5.
a)

(2v+3)(2v−3)(2v+3)\left(2v+3\right)\left(2v-3\right)\left(2v+3\right)

b)

(2v+3)(2v−3)(2v+5)\left(2v+3\right)\left(2v-3\right)\left(2v+5\right)

6.

Simplify each expression

a)

2a(a+8)9\frac{2a\left(a+8\right)}{9}

b)

8a2(a+8)36a\frac{8a^2\left(a+8\right)}{36a}

7.

Simplify each expression

a)

 −4x2y2   313y-4x^2y^2\ \ \ _{ }^3\sqrt{13y}  

b)

 −6x2y2   313y-6x^2y^2\ \ \ _{ }^3\sqrt{13y}  

8.

Simplify the expression

a)

 −173+185-17\sqrt{3}+18\sqrt{5}  

b)

 −177+186-17\sqrt{7}+18\sqrt{6}  

9.

a)

−20+103-20+10\sqrt{3}

b)

−20+102-20+10\sqrt{2}

10.

Simplify the expression

a)

3143\sqrt{14}

b)

6156\sqrt{15}

11.

Rewrite in exponential form

a)

(2k5)12\left(2k^5\right)^{\frac{1}{2}}

b)

212k522^{\frac{1}{2}}k^{\frac{5}{2}}

c)

Answer not listed

12.

Simplify the expression

a)

1

b)

-1

c)

I

d)

-i