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Algebra 1 1-3 Guided Practice: Real Numbers and the Number Line
By Anita Deberry
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Last updated over 5 years ago
25 questions
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1
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2
3
4
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Question 2
2.
Take Note:
What is a
square root
of a number?
10
Question 3
3.
Take Note:
Use the math input tool to type the
radical
expression:
\sqrt{5x}.
10
Question 4
4.
Take Note:
What is a
radicand
?
Question 5
5.
Problem 1 Got It?
What is the simplified form of the expression?
12
8
32
6
Question 6
6.
Problem 1 Got It?
What is the simplified form of the expression?
5
625
12.5
50
Question 7
7.
Problem 1 Got It?
What is the simplified form of the expression?
3/2
11/9
11/3
3/11
8
9
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Question 8
8.
Take Note:
What is a
perfect square
?
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Question 10
10.
Problem 2 Got It?
What is the value of the expression to the nearest integer?
36
5
17
6
Question 11
11.
Take Note:
Some
sets
of numbers are
subsets
of other number
sets
.
Categorize the number
sets
on the left based on whether or not they are
subsets
of the
sets
listed on the right.
Sets may belong in one category, in multiple categories, or in no categories.
The set of
natural numbers
The set of
integers
The set of
irrational numbers
Subsets of the
real numbers
:
Subsets of the
rational numbers
:
Subsets of the
whole numbers
:
12
14
13
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Question 12
12.
Take Note:
What is a
terminating
decimal
? Provide an example.
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Question 13
13.
Take Note:
What is a
repeating decimal
? Provide an example.
10
Question 14
14.
Take Note:
How can you determine whether a number written in decimal form is a
rational number
or
an irrational number
?
Question 15
15.
Problem 3 Got It?
To which subsets of the real numbers does the number belong?
Rational numbers
Natural numbers, whole numbers, integers, and rational numbers
Integers and rational numbers
Irrational numbers
Question 16
16.
Problem 3 Got It?
To which subsets of the real numbers does the number belong?
Natural numbers, whole numbers, integers, and rational numbers
Rational numbers
Integers and rational numbers
Irrational numbers
Question 17
17.
Problem 3 Got It?
To which subsets of the real numbers does the number belong?
Irrational numbers
Whole numbers, integers, and rational numbers
Rational numbers
Natural numbers, whole numbers, integers, and rational numbers
Question 18
18.
Problem 3 Got It?
To which subsets of the real numbers does the number belong?
Integers and rational numbers
Natural numbers, whole numbers, integers, and rational numbers
Irrational numbers
Rational numbers
19
20
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Question 19
19.
Take Note:
Define
inequality
.
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Question 20
20.
Take Note:
Use the math input tool to provide an example of an
inequality
that uses the symbol for
less than or equal to
.
Question 21
21.
Problem 4 Got It?
Fill in the circle to complete the inequality.
>
=
<
22
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Question 23
23.
Problem 5 Got It?
Graph and label the following numbers on a number line.
Label units on the number line and be precise.
visibility
View drawing
Question 24
24.
Problem 5 Got It?
Order the numbers from least to greatest.
-\frac{7}{2},-2.1,\sqrt{5},\sqrt{9},3.5
-2.1,-\frac{7}{2},\sqrt{9},\sqrt{5},3.5
-\frac{7}{2},-2.1,3.5,\sqrt{5},\sqrt{9}
-\frac{7}{2},-2.1,\sqrt{9},\sqrt{5},3.5
25
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Question 25
25.
Take Note:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Question 1
1.
Solve It!
If the pattern continues, which will be the first figure to contain more than 200 square units? Explain your reasoning.
Each square has a side length that corresponds to the number of that figure. Therefore, the 15
th
figure will be the first to contain more than 200 square units.
Each square has a side length that corresponds to the number of that figure. Therefore, the 201
st
figure will be the first to contain more than 200 square units.
Each square has a side length that corresponds to the number of that figure. Therefore, the 10
th
figure will be the first to contain more than 200 square units.
Question 9
9.
Take Note:
Which of the following are
perfect squares
? Select all that apply.
9
121
1
8
12
Question 22
22.
Problem 4 Got It?
Reasoning:
In Problem 4, is there another inequality you can write that compares the two numbers? Explain.
Yes;
also compares the two numbers.
Yes;
also compares the two numbers.
No;
is the only inquality that compares the two numbers.
