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Unit 1 Test Review - Rational and Irrational Numbers

Total questions: 36

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
.141414141414...
a)
Rational 
b)
Irrational 
2.
√2
a)
Rational
b)
Irrational
3.
√25
a)
Rational
b)
Irrational
4.
a)
D, C, A, B
b)
D, A, B, C
c)
D, B, C, A
d)
A, C, B, D
5.
a)
M
b)
N
c)
O
d)
P
6.
a)
F
b)
G
c)
H
d)
J
7.
Put in order of least to greatest.
√5, 3, 2½, √8
a)
3, 2½, √8, √5
b)
2½, 3, √5, √8
c)
√5, 3, 2½, √8
d)
√5, 2½, √8, 3
8.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

9.

Select the irrational numbers

a)

50\sqrt{50}  

b)

2

c)

π\pi  

d)

2.3454128904

10.
includes integers, fractions, terminating and repeating decimals.
a)
Rational Numbers
b)
Irrational Numbers
11.

Classify the number 2.75-2.75 .

a)

Rational

b)

Irrational

c)

Both

d)

Neither

12.

Which of the following statements is true about rational numbers?

a)

Their decimal form always terminates.

b)

Their decimal form always repeats.

c)

Their decimal form either terminates or repeats.

d)

Their decimal form never repeats.

13.

Convert 23\frac{2}{3} to a decimal using long division.

a)

0.660.66\ldots

b)

0.50.5

c)

0.750.75

d)

0.60.6

14.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

15.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

16.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

17.

What is the opposite of -12

a)

12

b)

-12

c)

0

18.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

19.

A withdrawal of $15

a)

$15

b)

-$15

20.

A $30 deposit to your bank account

a)

$30

b)

-$30

21.

Increase of $4 per hour

a)

$4 per hour

b)

-$4 per hour

22.

Which inequality sign would make the following true.

a)

<

b)

>

c)

=

23.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
24.

Which list of values is ordered from GREATEST to LEAST?


15, 0.27, 411, 25%\frac{1}{5},\ 0.27,\ \frac{4}{11},\ 25\%  

a)

0.27, 411, 15, 25%0.27,\ \frac{4}{11},\ \frac{1}{5},\ 25\%

b)

0.27, 25%, 411, 150.27,\ 25\%,\ \frac{4}{11},\ \frac{1}{5}

c)

411, 0.27, 15, 25%\frac{4}{11},\ 0.27,\ \frac{1}{5},\ 25\%

d)

411, 0.27, 25%, 15\frac{4}{11},\ 0.27,\ 25\%,\ \frac{1}{5}

25.

Task 4

a)

2nd

b)

alpha

c)

x2

d)

x-1

26.

Using the calculator, evaluate the following and give your answers correct to

nearest whole number.

6.54×2.32×(114)36.5^4\times2.3^2\times\left(1\frac{1}{4}\right)^3  

(a)  

27.

Using the calculator, evaluate the following and give your answers correct to

3 decimal places.

3.912 × 0.023 + 1.6 ÷ 0.09

(a)  

28.

Using the calculator, evaluate the following and give your answers correct to

3 decimal places.

(1216.23+115.01123.23)1.001\left(\frac{12}{16.23}+\frac{1}{15.01}-\frac{1}{23.23}\right)-1.001  

(a)  

29.
Jacob ran  4  3/5  miles on Monday, 4.5 miles on Tuesday, and  3  3/5 miles on Wednesday.  How many total miles did John run?
a)
12  26/50  miles
b)
12  7/10  miles
c)
11  7/12  miles
d)
12  miles
30.

Devon had his two friends over for pizza. Devon ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left?

a)

1/4

b)

1/8

c)

1/3

d)

1/5

31.

Ms. Sublett's math class is putting three numbers (0.3, 1/4, and 20%) in order from least to greatest. Which answer is correct?

a)

1/4, 20%, 0.3

b)

0.3, 20%, 1/4

c)

20%, 1/4, 0.3

d)

0.3, 1/4, 20%

32.
Your bank account balance is -$31.00. You then get paid $195 for work this week before paying your cellphone bill of $75.  How much money remains in your account?
a)
$-89.00
b)
$51.00
c)
$301.00
d)
$89.00
33.
Hailey bought a 9 ft piece of ribbon that she will cut into 2/3 ft long pieces. How many 2/3 ft pieces can Hailey cut?
a)
13 1/2 
b)
6
c)
9
d)
14
34.

Valeria spent all her allowance on candy. She spent $8.45 on chocolate, $5.60 on gum, and $6.85 on jelly beans. She had $1.25 left. How much was her allowance?

a)

$19.65

b)

$20.90

c)

$22.15

d)

$24.50

35.

Mr. Parker had $86 to buy school supplies for his class. He bought 32 boxes of pencils and 32 packages of notebook paper. Each package of paper cost $1.09, and each box of pencils cost $0.75. How much money did Mr. Parker have left?

(a)  

36.

Twelve PTA members want to buy supplies for students. They need to raise $527.86 to buy the supplies. They have already raised $349.11. If each PTA member raises the same amount of money, how much money must each member raise?

(a)