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Unit #2 Test bonus Algebra 1

Total questions: 38

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

 502\frac{\sqrt{50}}{\sqrt{2}}  

a)

Rational 

b)

Irrational

2.

 0.121212...0.121212...  

a)

rational

b)

irrational

3.

 π+(π)\pi+\left(-\pi\right)  

a)

rational

b)

irrational

4.

 π\pi  

a)

Rational

b)

Irrational

5.

 2\sqrt{2}  

a)

Rational

b)

Irrational

6.

What is the

 49\sqrt{49}  equal to?

a)

8

b)

9

c)

7

d)

49

7.

Which one of the following numbers is rational?

a)

18\sqrt{18}

b)

36\sqrt{36}

c)

12\sqrt{12}

d)

50\sqrt{50}

8.

Which types of numbers are irrational?

a)

numbers that repeat

b)

a number that can be written as a fraction

c)

a number that terminates

d)

a number that doesn't repeat and continues forever

9.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
10.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

11.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
12.

Find the best estimate for √18 .

Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

13.


 50\sqrt{50}  

a)

7.1

b)

7.4

c)

7.7

d)

8.1

14.

Miki has a square rug in her living room that has an area of 19 yd2. Estimate the length of one side of the rug to the nearest whole number.

a)

4 yd

b)

5 yd

c)

6 yd

d)

8 yd

15.

Order from least to greatest.

a)

√45, 9, 6, √63

b)

6, √45, √63, 9

c)

6, √45, 9, √63

d)

√45, √63, 6, 9

16.

Between what two numbers can the square root of 8 be found?

a)

Between 1 and 2 and closer to 1

b)

Between 1 and 2 and closer to 2

c)

Between 2 and 3 and closer to 2

d)

Between 2 and 3 and closer to 3

17.

Estimate the square root.

a)

Between 1 and 2 and closer to 1

b)

Between 1 and 2 and closer to 2

c)

Between 2 and 3 and closer to 2

d)

Between 2 and 3 and closer to 3

18.
a)
2   23/100
b)
2   23/10
c)
2   23/9
d)
2   23/99
19.
Identify the fraction equivalent to the decimal below.
a)
2 4/99
b)
2   4/9
c)
2   2/5
d)
2 4/10
20.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
21.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
22.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
23.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
24.

What is the solution of

 2b+3b+6=212b+3b+6=21  

a)

b = 6

b)

b= 5

c)

b = 4

d)

b = 3

25.

A tank currently has 5 gallons of water. It is being filled at a rate of 1/4 gallons per minute. How long will it take for the tank to have 9 gallons?

a)

16 minutes

b)

4 minutes

c)

9 minutes

d)

12 minutes

26.

Find the value of x in the given equation:

 x+25=12\frac{x+2}{5}=12  

a)

x = 15

b)

x = 18

c)

x = 58

d)

x = 60

27.

What is the solution of the following equation:

 5(y4)=7(2y+1)5\left(y-4\right)=7\left(2y+1\right)  

a)

y = -1

b)

y = -3

c)

y = 1

d)

y = 3

28.

A company will print business cards for $.10 each plus a set up charge of $12. Another company offers business cards for $.12 each plus a set up charge of $10. What number of business cards will cost the same for each?

a)

100 cards

b)

90 cards

c)

120 cards

d)

80 cards

29.

Find the value of x in the given equation:

 2x+86=13(x+4)\frac{2x+8}{6}=\frac{1}{3}\left(x+4\right)  

a)

x = 0

b)

x = 1

c)

No solution

d)

Infinite solution

30.

Solve the following equation for y:

 6x+3y = 156x+3y\ =\ 15  

a)

 3y=156x3y=15-6x  

b)

 6x=153y6x=15-3y  

c)

 y=52xy=5-2x  

d)

 y=2x5y=2x-5  

31.

Solve the following equation for x:

 qx+rx = sqx+rx\ =\ s  

a)

 x = qs+rx\ =\ \frac{q}{s+r}  

b)

 x = rq+sx\ =\ \frac{r}{q+s}  

c)

 x = qrsx\ =\ \frac{q}{r-s}  

d)

 x = sq+rx\ =\ \frac{s}{q+r}  

32.

Solve the following proportion for x:

 23=x14\frac{2}{3}=\frac{x}{14}  

a)

 x=328x=\frac{3}{28}  

b)

 x=283x=\frac{28}{3}  

c)

 x=21x=21  

d)

 x=121x=\frac{1}{21}  

33.

A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples?

a)

23=x10\frac{2}{3}=\frac{x}{10}

b)

2x=103\frac{2}{x}=\frac{10}{3}

c)

32=x10\frac{3}{2}=\frac{x}{10}

d)

210=x3\frac{2}{10}=\frac{x}{3}

34.

What is the solution of the following proportion:

 x12=x45\frac{x-1}{2}=\frac{x-4}{5}  

a)

x = -1

b)

x = 0

c)

x = 1

d)

x = 2

35.
Sophie has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket.  How many weeks will it take Sophie to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
36.

Solve the following equation for s:


 2s9w=6t2s-9w=6t  

a)

 2s=6t+9w2s=6t+9w  

b)

 2s = 6t9w2s\ =\ 6t-9w  

c)

 s = 6t+9ws\ =\ 6t+9w  

d)

 s=3t+9w2s=3t+\frac{9w}{2}  

37.

Solve the following equation for y:

 8x+4y=168x+4y=16  

a)

 y=2x+4y=-2x+4  

b)

 y = 2x4y\ =\ 2x-4  

c)

 4y=168x4y=16-8x  

d)

 4y=16+8x4y=-16+8x  

38.

 3(4x8)=6(2x+5)3\left(4x-8\right)=6\left(2x+5\right)  

Solve the following equation:

a)

 x = no solutionsx\ =\ no\ solutions  

b)

 x= infinite solutionsx=\ \inf inite\ solutions  

c)

 x = 6x\ =\ 6  

d)

 x = 54x\ =\ 54