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A2 Checkpoint 3 Review Day 1

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Which of the following is equivalent to the expression  (x2+y2)2\left(x^2+y^2\right)^2  ?

a)

 x4+4x2y2+y4x^4+4x^2y^2+y^4  

b)

 x4+2x2y2+y4x^4+2x^2y^2+y^4  

c)

 x4+y4x^4+y^4  

d)

 x4+x2y2+y4x^4+x^2y^2+y^4  

2.

Calpernia's rectangular enclosure has a perimeter of 44x-100. If the length measures 6x-36, what is the measurement of the width?

a)

32x - 28

b)

16x - 14

c)

19x - 32

d)

22x - 50

3.

Divide:  3x3+5x248x80x+4\frac{3x^3+5x^2-48x-80}{x+4}  


a)

 3x2+5x323x^2+5x-32  

b)

 3x27x203x^2-7x-20  

c)

 3x217x+203x^2-17x+20  

d)

 3x2+17x+203x^2+17x+20  

4.

 81a12b24\sqrt{81a^{12}b^{24}}  

Simplify the following radical expression.

a)

 40.5a6b1240.5a^6b^{12}  

b)

 9a16b1129a^{\frac{1}{6}}b^{\frac{1}{12}}  

c)

 40.5a16b11240.5a^{\frac{1}{6}}b^{\frac{1}{12}}  

d)

 9a6y129a^6y^{12}  

5.

Which expression is equivalent to 1/6?

a)

21613216^{-\frac{1}{3}}

b)

12212^{-2}

c)

1214121^{-4}

d)

361236^{\frac{1}{2}}

6.

 d3+98=44\frac{d^3+9}{8}=44  

Solve the following equation

a)

343

b)

171.5

c)

49

d)

7

7.

Which is the complete factored form of 5x450x310x25x^4-50x^3-10x^2  


a)

 x2(5x250x10)x^2\left(5x^2-50x-10\right)  

b)

 (5x22)(x2+5)\left(5x^2-2\right)\left(x^2+5\right)  

c)

 (5x2+2)(x25)\left(5x^2+2\right)\left(x^2-5\right)  

d)

 5x2(x210x2)5x^2\left(x^2-10x-2\right)  

8.

 x=51223x=512^{\frac{2}{3}}  

What is the value of x in the equation

a)

16

b)

32

c)

64

d)

512

9.

Which of the following are possible factors for the following expression? 6x3150x6x^3-150x  

Select all correct answers.

a)

 (6x6)\left(6x-6\right)  

b)

 (x+25)\left(x+25\right)  

c)

 6x6x  

d)

 (x5)\left(x-5\right)  

10.

Which of the following expressions is equivalent to 5x310x2=240x-5x^3-10x^2=-240x  


a)

 5x(x+8)(x6)-5x\left(x+8\right)\left(x-6\right)  

b)

 x(5x+48)(x+6)x\left(-5x+48\right)\left(x+6\right)  

c)

 7(x2+8x)(x26x)-7\left(x^2+8x\right)\left(x^2-6x\right)  

d)

 5x(x8)(x+6)-5x\left(x-8\right)\left(x+6\right)