1. Algebra I and Algebra I Concepts Chapter 0

2. Section 0-2 Real Numbers Real Numbers Irrational Numbers Rational Numbers Integers Whole Natural

3. Section 0-2 Square Root- Perfect Square- Ex. 1) Name the set(s) of numbers to which each real number belongs. a) b) c)

4. Section 0-2 Graph- Coordinate- Ex) Graph each set of numbers on a number line a) b)c)

5. Section 0-2 Ex. 4) Simplify each square root a) b) Ex. 5) Estimate each square root to the nearest whole number. a) b)

6. Section 0-3: Operations with Integers What are integers? Adding numbers with the same sign Ex. 1) a)4 + 6 = b) -4 + -6 =

7. Section 0-3: Using a number line or chips to count Number Line 1.Draw a number line and label the numbers 2.Start at the FIRST number listed in the problem 3.Move left if you are subtracting, move right if you are adding. Move the SECOND number of spaces Chips 1.Positive numbers are open circles 2.Negative numbers are closed circles 3.Draw the appropriate circles 4.1 open, and 1 closed circle equal zero. Cross them off one for one, count what is left.

8. Section 0-3 Subtraction - Remember subtracting is the SAME as adding a negative number, so 6 – 4 is the same as 6 + -4, both equal 2 *Also, subtracting a negative is the same as addition! So, 6 - -4 is the same as 6 + 4 Ex. 2) a)4 – 6 = b) -4 – 6 = c) -4 - -6 = d) -6 - -4 =e) -6 – 4=

9. Section 0-3: Fill in the table ProblemAlgebraicNumber LineChips 5 + 2 = 5 – 2 = 2 – 5 = -5 + -2 = -5 – 2 = -5 - -2 =

10. Section 0-3 Multiply and Dividing Integers Rules: If the numbers have the SAME SIGN, the answer is ___________ If the numbers have DIFFERENT SIGNS, the answer is ___________ Ex.3) a)b)c) d) e)f)g)h)

11. Section 0-3: Fill in the table ProblemSigns? (same or different) Sign of the answer?Final Answer 4 x 5 -4 x -5 -4 x 5 4 x -5

12. Section 0-4: Adding and Subtracting Rational Numbers Ex.1) Replace the circle with, or = to make The statement true. Ex. 2) Order the following from least to greatest

13. Section 0-4: Adding and Subtracting Fractions Adding and Subtracting Like Fractions If the ___________ are the same, add/sub the ___________. REDUCE Ex3) Find the sum or difference a)b)c)

14. Section 0-4 Adding and Subtracting Unlike Fractions You must have a ___________ ____________!!! Ex.4) Find the sum or difference. Write the fraction in its simplest form a) b)c)

15. Section 0-4 Mixed Fractions 1)Turn all mixed fractions to ______________ 2)Follow add/sub rules Ex) Add/Sub the mixed fractions a)b) c)

16. Section 0-4: Adding Decimals 1.Line up _________ points 2.Follow sign rules Ex. 5) Add/Sub the decimals a) 2.5 + (-3.5) b) -13.12 + (-8.6) c) -32.25 – (-42.5)

17. Section 0-5 Multiplying and Dividing Rational Numbers Multiplying Fractions 1)Change all _________ to improper 2)Multiply the _____________ 3)Multiply the _____________ 4)Reduce! Ex.1) Multiply the fractions a)b) c) d)

18. Section 0-5 Reciprocal – Ex2) Find the reciprocal of the number a)b) c)

19. Section 0-5 Dividing Fractions 1)Find the __________ of the second fraction 2)Follow multiplication rules Ex 3) Find each quotient a)b)c)d)

20. Section 0-6: The Percent Proportion Ex1) Express each percent as a fraction of mixed number. REDUCE! a)79%b) 107%c) 0.5%

21. Section 0-6 Percent : p (change to a decimal first!) Whole: a Part: b Follow the equation ap = b Ex2) 40% of 30 is what number? Ex3) 67.5 is 75% of what number? Ex4) 15 is what percent of 24?

22. Section 0-7: Perimeter Perimeter – Rectangle Parallelogram SquareTriangle

23. Section 0-7 Ex1) Find the perimeter of each figure a)A rectangle with a length of 5 inches and a width of 1 inch b)A square with a side length of 7 cm. c) A parallelogram with side lengths 12m and 14m d) A triangle with side lengths 4, 9, and 6 inches

24. Section 0-7: Circumference Parts of a circle Formula for Circumference Ex 2) Find the circumference a) Radius = 4 ft.B) Diameter = 15 cm

25. Section 0-8: Area Area – Rectangle Parallelogram SquareTriangle

26. Section 0-8: Area Ex1) Find the area of each figure a)A rectangle with a length of 7 yards and width of 1 yard a)A square with side length of 2 meters c) A parallelogram with a base of 11 feet and a height of 9 feet d) A triangle with a base of 12 cm and a height of 5 cm e) A circle with a radius of 3 cm f) A circle with a diameter of 21 meters

27. Section 0-9 Volume Volume- Rectangular PrismCylinder

28. Section 0-9 Ex1) Find the volume a)A rectangular prism with a length of 8cm, width 1cm, and height of 5 cm. a)A rectangular prism with a length of 4ft, width of 2ft, and height of 3 ft. c) A cylinder with a radius of 3in and a height of 6in d) A cylinder with a diameter of 10 cm, and a height of 8 cm