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Algebra I and Algebra I Concepts

Algebra I and Algebra I Concepts. Chapter 0. Section 0-2 Real Numbers. Section 0-2. Square Root- Perfect Square- Ex. 1) Name the set(s) of numbers to which each real number belongs. a) b) c). Section 0-2. Graph- Coordinate- Ex) Graph each set of numbers on a number line

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Algebra I and Algebra I Concepts

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  1. Algebra I and Algebra I Concepts Chapter 0

  2. Section 0-2 Real Numbers

  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) • 4 + 6 = b) -4 + -6 =

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

  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) • 4 – 6 = b) -4 – 6 = c) -4 - -6 = d) -6 - -4 = e) -6 – 4=

  9. Section 0-3: Fill in the table

  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

  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 • Turn all mixed fractions to ______________ • Follow add/sub rules Ex) Add/Sub the mixed fractions a) b) c)

  16. Section 0-4: Adding Decimals • Line up _________ points • 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 • Change all _________ to improper • Multiply the _____________ • Multiply the _____________ • 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 • Find the __________ of the second fraction • 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! • 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 Square Triangle

  23. Section 0-7 Ex1) Find the perimeter of each figure • A rectangle with a length of 5 inches and a width of 1 inch • 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 Square Triangle

  26. Section 0-8: Area Ex1) Find the area of each figure • A rectangle with a length of 7 yards and width of 1 yard • 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 Prism Cylinder

  28. Section 0-9 Ex1) Find the volume • A rectangular prism with a length of 8cm, width 1cm, and height of 5 cm. • 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

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