Download Unit 3: Rational and Irrational Review

Unit 3 - Rational Numbers Review
Name: __________________________________
Circle your answers
⧠
Learning target #1: I can define rational or irrational
Numbers (7.1.1.1 & 7.1.1.2)
1) Which of the following best defines a rational
number?
⧠ Learning Target #2: I can compare rational numbers.
(7.1.1.4)
4) Order the following rational numbers in a way
that makes the statement true.
a. Most decimals are rational numbers
√49
7
b. Repeating and terminating decimals are
rational numbers.
c. Any number that can be expressed as the
2) Which of the following best describes this
statement:
Every rational number can be written as
the ratio of two integers .
7.5
37
5
a.
√49
37
5
7
4
9
7.5
b.
7
4
9
7.5
37
5
√49
c.
37
5
7.5
7
4
9
√49
d.
√49
37
5
7.5
division of two integers.
d. The number π.
4
9
7
4
9
a. Always True
b. Sometimes True
5) Choose the correct symbol
c. False
−
d. I don’t know
a.
2
?
3
− 0.6
>
b.
c. =
<
3) Which of the following is an irrational number?
a. -3.421212….
b.
3
6) Which list shows the numbers in order from
least to greatest?
18
c. √49
d. √60
a. −√9, −2.7,
b. −√9 , −2.7 ,
c. −√9 ,
d.
−5
2
,
−5
2
−8
3
−8
3
−5
2
,
,
−5
2
−8
, −2.7 ,
3
−8
3
, −2.7, −√9,
⧠
7)
Learning Target #3: I can find equivalent rational
numbers. (7.1.1.5)
Which is equivalent to 0.31?
a. 31
c.
31
⧠
Learning Target #3: I can locate positive and
negative rational numbers on a number line,
understand the concept of opposites, and plot pairs of
positive and negative numbers on a coordinate grid.
(7.1.1.6)
31
b. 10
5
9) Which point describes the location of − 2?
A
31
100
d. 1000
-5
C
B
-4
-3
D
-2
-1
a) Point A
c) Point C
8)
Which is not equivalent to -4?
a. −√8
c.
8
−2
b.
0
1
2
3
b) Point B
d) Point D
10) Which of the following numbers is closest to
the opposite of 10?
−32
a) -11
c) 100
8
b) 5
d) 9
d. −√16
11) Which of the graph shown below correctly shows
the location of a point at (2, -3)?
a)
b)
c)
d)
9) Which is not equivalent to 1.8?
a. 1
𝟖
𝟏𝟎
c.
𝟗
𝟓
b.
𝟏𝟕
𝟗
𝟏𝟔
d. 1
𝟐𝟎
Unit 3 - Rational Numbers Review
Name: __________________________________
NON-CALCULATOR REVIEW
Disclaimer: This review should be completed without the use of a calculator that has the ability to do fraction operations (i.e.
has a fraction bar). You will not have the ability to use a calculator that has fraction capabilities on the test, so please practice
completing problems without a calculator. However, if you have basic 4-function calculator, you may use it for this review.
⧠
12)
Learning Target #4: I can add fractions and mixed
Numbers (7.1.2.1A)
−4
5
+
a.
c.
13)
2
3
1
16)
5
−3
b.
5
−5
17) 2
3
1
1
c. 1 6
9
a.
c.
15)
−4
5
1
4
a.
−1
c.
−8
1
5
7
3
b. − 4
1
d. − 2
1
– 12
3
b. 4 6
a.
1 10
d. none of these
c.
17
2
b.
7
10
3
d. − 10
−1
3
8
−9
1
−2
b.
−4
d. none of these
1
3
a. −2 5
2
15
b.
18) 9 – 3
3
5
9
+ 25
c.
–
8
10
1
+
−5
−3
+ 32
−5
Learning Target #5: I can subtract fractions and
mixed numbers. (7.1.2.1B)
d. none of these
10
a. 3 5
14)
⧠
3
5
d. none of these
2
a.
55
c.
6
3
5
2
b. 6 5
d. 5
3
5
⧠
19)
Learning Target #6: I can multiply fractions and
mixed numbers. (7.1.2.1C)
−2
•
5
22)
7
= _______
8
7
2
a.
3
30
21) 2
4
5
•
50
7
6
a.
16
2
33
c.
23)
−6
d. 16 3
c.
2
5
b.
15
− 16
1
3
5
b.
3
5
4
d. 9 5
d.
15
16
= _______
2
a. 8 10
c.
4
8
2
24) 5 5 ÷ 1
8
3
3
1
= _______
a. 2 35
d.
÷ 1 5 = _______
4
1
c.
2
b. 2 3
25
a. −1 5
3
2
= _______
10
b. 6
50
c.
3
÷
5
d. − 35
= _______
5
4
b. − 13
−5
c.
Learning Target #7: I can divide fractions and mixed
numbers. (7.1.2.1D)
5
a. − 20
20) 10 •
⧠
3
35
b.
d.
15
54
10
81