Algebra 1 1-3 Guided Practice: Real Numbers and the Number Line
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Last updated over 5 years ago
25 questions
10
10
10
10
10
10
10
10
10
10
10
10
10
10
Question 2
2.
Take Note: What is a square root of a number?
10
10
Question 5
5.
Question 6
6.
Question 7
7.
10
Question 8
8.
Take Note: What is a perfect square?
10
Question 10
10.
Question 11
11.
10
Question 12
12.
Take Note: What is a terminatingdecimal? Provide an example.
10
10
Question 15
15.
Question 16
16.
Question 17
17.
Question 18
18.
10
Question 19
19.
Take Note: Define inequality.
10
Question 21
21.
10
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.
Question 24
24.
10
Question 25
25.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Question 1
1.
Question 3
3.
Take Note: Use the math input tool to type the radical expression:
\sqrt{5x}.
Question 4
4.
Take Note: What is a radicand?
Problem 1 Got It? What is the simplified form of the expression?
12
8
32
6
Problem 1 Got It? What is the simplified form of the expression?
5
625
12.5
50
Problem 1 Got It? What is the simplified form of the expression?
3/2
11/9
11/3
3/11
Question 9
9.
Problem 2 Got It? What is the value of the expression to the nearest integer?
36
5
17
6
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 integers
The set of natural numbers
The set of irrational numbers
Subsets of the real numbers:
Subsets of the rational numbers:
Subsets of the whole numbers:
Question 13
13.
Take Note: What is a repeating decimal? Provide an example.
Question 14
14.
Take Note: How can you determine whether a number written in decimal form is a rational number or an irrational number?
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
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
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
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
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.
Problem 4 Got It? Fill in the circle to complete the inequality.
>
=
<
Question 22
22.
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
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 15th 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 201st 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 10th figure will be the first to contain more than 200 square units.
Take Note: Which of the following are perfect squares? Select all that apply.
9
121
1
8
12
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.
