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Worksheets

ACT Test

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

In the formula E = IR, E = Voltage, I = Amperage, and R = Resistance. If the voltage is 12 what must the amperage be so that the resistance is 2.5?

a)

4

b)

4.5

c)

4.8

d)

5.3

e)

5.8

2.

x = 2 and x = -4 is the solution set for which of the following quadratic equations?

a)

 x22x+8=0x^2-2x+8=0  

b)

 x2+2x8=0x^2+2x-8=0  

c)

 x28x+2=0x^2-8x+2=0  

d)

 x2+8x+2=0x^2+8x+2=0  

e)

 x28x2=0x^2-8x-2=0  

3.

 3153\sqrt{15}  is the simplified form of which expression?

a)

 30325\frac{30\sqrt{3}}{2\sqrt{5}}  

b)

 310+353\sqrt{10}+3\sqrt{5}  

c)

 4530\sqrt{45}-\sqrt{30}  

d)

 5×3×3\sqrt{5}\times\sqrt{3}\times3  

e)

 45÷31545\div3\sqrt{15}  

4.

 5a2b32ab3a+3b5a^2b^3-2ab-3a+3b  is formed by adding which two polynomials?

a)

 4a2b35ab+3a    and    2a2b23ab2b4a^2b^3-5ab+3a\ \ \ \ and\ \ \ \ 2a^2b^2-3ab-2b  

b)

 a2b3+2ab3a   and   4a2b34ab+3ba^2b^3+2ab-3a\ \ \ and\ \ \ 4a^2b^3-4ab+3b  

c)

 5a2b3+2a3b   and 2ab+5a5a^2b^3+2a-3b\ \ \ and\ -2ab+5a  

d)

 a3b2+2ab+3a   and   4a3b2+4ab3ba^3b^2+2ab+3a\ \ \ and\ \ \ 4a^3b^2+4ab-3b  

e)

 a2b2+2ab3a   and   4a2b34ab+3b-a^2b^2+2ab-3a\ \ \ and\ \ \ 4a^2b^3-4ab+3b  

5.

 7x3+9x2+11x157x5=    ?\frac{7x^3+9x^2+11x-15}{7x-5}=\ \ \ \ ?  

a)

 x2+2x+3x^2+2x+3  

b)

 2x23x+52x^2-3x+5  

c)

 x22x3x^2-2x-3  

d)

 2x2+2x+32x^2+2x+3  

e)

 x23x+5x^2-3x+5  

6.

What is the sum of the solutions of the equation  x25x+6=0x^2-5x+6=0  ?

a)

-5

b)

-4

c)

4

d)

5

e)

6

7.

 25÷ 6413=    ?2^5\div\ 64^{\frac{1}{3}}=\ \ \ \ ?  

a)

16

b)

8

c)

4

d)

2.5

e)

2

8.

What is the value of  33÷36(12)21\frac{3^3\div3-6}{\left(\frac{1}{2}\right)^{-2}-1}  ?

a)

1

b)

2

c)

3

d)

4

e)

5

9.

In simplest form,  512+4108=5\sqrt{12}+4\sqrt{108}=  

a)

 261226\sqrt{12}  

b)

 1212012\sqrt{120}  

c)

 52652\sqrt{6}  

d)

 52352\sqrt{3}  

e)

 20320\sqrt{3}  

10.

What is the value of  (8132)+3(2)1+1\frac{\left(8^{\frac{1}{3}}-2\right)+3}{\left(-2\right)^{-1}+1}  ?

a)

7

b)

6

c)

3

d)

2

e)

1