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Unit 1 Study Guide

This study guide covers various topics in number sense and quantity including operations with integers, real world applications of integers, operations with decimals and fractions, comparing decimals and fractions, ordering fractions, and using visuals to solve problems involving fractions. Students are provided examples to practice for each topic as well as brief explanations of related concepts like powers of ten, decimal comparison, benchmark fractions, simplifying radicals, and rational and irrational numbers.

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439 views4 pages

Unit 1 Study Guide

This study guide covers various topics in number sense and quantity including operations with integers, real world applications of integers, operations with decimals and fractions, comparing decimals and fractions, ordering fractions, and using visuals to solve problems involving fractions. Students are provided examples to practice for each topic as well as brief explanations of related concepts like powers of ten, decimal comparison, benchmark fractions, simplifying radicals, and rational and irrational numbers.

Uploaded by

api-378987701
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Foundations of Algebra Name: ___________________________________

Unit 1 Study Guide Number Sense & Quantity


What I Need Things to Practice
to Know Remember
1. Operations a. Add or Subtract: b. Multiply or Divide:
with Integers
-5 + 3 = _______ 3 – 9 = ______ 4 x -5 = _____ 18 ÷ -6 = _____

4 – (-8) = ______ -5 – 4 = ______ -7 x -3 = _____ -8 ÷ -2 = _____

c. How do you know when the sum of a d. c. How do you know when the sum of a
positive and negative integer will be positive? positive and negative integer will be negative?

2. Real World a. Represent the scenario with an integer: b. Amara jumped off the diving board that was
Applications -You take the elevator to 14th floor. 12 feet in the air and went 9 feet below the
of Integers water’s surface. How far did she travel?

-The temperature is seven degrees below


zero.

3. Powers of a. Multiply or Divide: b. Multiply or Divide:


10 5.7 x 100 = _______ 450 x 0.01 = _______

0.42 x 10 = _______
56 ÷ 0.1 = ______
5670 ÷ 1000 = _______

4. Decimal a. Order from least to greatest: b. Compare the following decimals:


Comparison 0.56 ____ 0.5 0.35 ____ 0.350

5. Decimals a. Plot the following points on the number line.


on a Number
Line

7. Decimal a. The monthly rental for an apartment b. A gallon of water weighs 8.3 pounds. How
Word is $412.50. How much would the rent be for many pounds does 20 gallons of water weigh?
Problems one year?

8. Comparing a. Name an equivalent fraction for each b. Order the numbers from least to greatest:
Decimals & decimal:
Fractions
0.6 = __________ 0.37 = __________

3.3 = __________ 4.5 = ___________

Then plot on the number line:


9. Benchmark a. Determine if the following fractions are close to 0, equal to ½, little less than ½ (< ½), little more
Fractions than ½ (> ½) , or close to 1:

10. Ordering a. Order from least to greatest: b. Order from least to greatest:
Fractions

12. a. Add or Subtract: b. Multiply or Divide:


Operations
with Fractions

13. 1
Operations a. A stack of board is 21 inches high. Each b. DJ Gabe is going to serve of a whole pizza
with Fractions 3 3
(Word board is 1 inches thick. How many boards to each guest at his party. If he expects 24
Problems) 4 guests, how many pizzas will he need?
are there?

1 1 3 1
c. 3 feet are cut off a board that is 12 d. of the corn in the US is grown in Iowa.
3 4 8 4
feet long. How long is the remaining part of of it is grown is Nebraska. How much of the corn
the board? supply is grown in the two states?
14. Using a. Use a picture to show how to divide b. Draw a picture to solve the following: Out of
Visuals to 2
Solve 18 cookies, are chocolate chip. How many
Problems. 3
of the cookies are chocolate chip?

c. Use a picture to show how multiply 3


d. The New York Rangers hockey team won
4
of their games last season. If they lost 21 games,
how many games did they play in the entire
season?

18. Estimating
Square Roots a. 43 is between what two whole b. 71 is between what two whole numbers?
numbers?

15. Simplify
Radicals a. Simplify
20 b. Simplify  4 15  3

16. Add or
Subtract
a. 2 6  2 54 b. 3 12  3 3
Radicals
c. 5(8 12  1) d.  3 20  58 3

17. Rational &


Irrational
a. Explain the outcome of 4  16 . b. Explain the outcome of 2 2(5  2) .
Numbers

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