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Algebra 1 Review

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

What is  32\sqrt{32}  expressed in simplest radical form?

a)

 16216\sqrt{2}  

b)

 424\sqrt{2}  

c)

 484\sqrt{8}  

d)

 282\sqrt{8}  

2.

Which polynomial is twice the sum of  4x2x+14x^2-x+1  and  6x2+x4-6x^2+x-4 ?

a)

 2x23-2x^2-3  

b)

 4x23-4x^2-3  

c)

 4x26-4x^2-6  

d)

 2x2+x5-2x^2+x-5  

3.

The value of x which makes 23(14x2)=15(43x1)\frac{2}{3}\left(\frac{1}{4}x-2\right)=\frac{1}{5}\left(\frac{4}{3}x-1\right)  true is

a)

-10

b)

-2

c)

 9.09-9.\overline{09}  

d)

 11.3-11.\overline{3}  

4.

The inequality 723x<x87-\frac{2}{3}x<x-8  is equivalent to

a)

 x>9x>9  

b)

 x>35x>-\frac{3}{5}  

c)

 x<9x<9  

d)

 x<35x<-\frac{3}{5}  

5.

Fred is given a rectangualr piece of paper. If the length of Fred's piece of paper is repesented by 2x62x-6  and the width is represented by  3x53x-5 , then the paper has a total area represented by

a)

 5x115x-11  

b)

 6x228x+306x^2-28x+30  

c)

 10x2210x-22  

d)

 6x26x116x^2-6x-11  

6.

The expression 50\sqrt{50}  can be simplified to

a)

 525\sqrt{2}  

b)

 5105\sqrt{10}  

c)

 2252\sqrt{25}  

d)

 25225\sqrt{2}  

7.

The solution to 2(14x)=3x+8-2\left(1-4x\right)=3x+8  is

a)

 611\frac{6}{11}  

b)

 22  

c)

 107-\frac{10}{7}  

d)

 2-2  

8.

If y=3x3+x25y=3x^3+x^2-5  and  z=x212z=x^2-12 , which polynomial is equivalent to  2(y+z)2\left(y+z\right) ?

a)

 6x3+4x2346x^3+4x^2-34  

b)

 6x3+3x2176x^3+3x^2-17  

c)

 6x3+3x2226x^3+3x^2-22  

d)

 6x3+2x2176x^3+2x^2-17  

9.

 Michael borrows money from his uncle, who is charging him simple interest using the formula I=PrtI=\Pr t . To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His formula is r equals 

a)

 IPt\frac{I-P}{t}  

b)

 PIt\frac{P-I}{t}  

c)

 IPt\frac{I}{Pt}  

d)

 PtI\frac{Pt}{I}  

10.

What is 2452\sqrt{45} expressed in simplest radical form? 

a)

 353\sqrt{5}  

b)

 555\sqrt{5}  

c)

 656\sqrt{5}  

d)

 18518\sqrt{5}  

11.

When 3x+25(x4)3x+2\le5\left(x-4\right) is solved for x, the solution  is

a)

 x3x\le3  

b)

 x3x\ge3  

c)

 x11x\le-11  

d)

 x11x\ge11  

12.

Kendall bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation can be used to find the number of boxes, x, Kendall bought?

a)

2x12=602x-12=60

b)

12x2=6012x-2=60

c)

12x24=6012x-24=60

d)

2412x=6024-12x=60

13.

The value of x that satisfies the equation 43=x+1015\frac{4}{3}=\frac{x+10}{15} is 

a)

-6

b)

5

c)

10

d)

30

14.

What is the value of x in the equation 2(x4)=4(2x+1)2\left(x-4\right)=4\left(2x+1\right) 

a)

 2-2  

b)

 22  

c)

 12-\frac{1}{2}  

d)

 12\frac{1}{2}  

15.

The cost of airing a commercial on television is modeled by the function C(n)=110n+900C\left(n\right)=110n+900 , where n is the number of times the commerical aired, Based on this model, which statement is true?

a)

The commercial costs $0 to produce and $110 per airing up to $900.

b)

The commercial costs $110 to produce and $900 each time it is aired.

c)

The commercial costs $900 to produce and $110 each time it is aired.

d)

The commercial costs $1010 to produce and can air an unlimited number of times.