= ( 17) = (-4) + (-6) = (-3) + (- 14) + 20

Transcription

1 Integer Operations Adding Integers If the signs are the same, add the numbers and keep the sign. If the signs are different, find the difference and use the sign of the number with the greatest absolute value. Subtracting Integers Remember: Keep-Change-Change Then follow the rules for addition. Multiplying and Dividing Integers If there are an odd number of negatives, your answer will be negative. If there is an even number of negatives, your answer will be positive = ( 17) = (-4) + (-6) = (-3) + (- 14) = (-11) (-5) = = 9. ( - 3) (- 4) = (-4) = (- 3) 2 = (-11) (- 9) = 13. (-125) (-5) = (- 9) = 15. (- 480) = (- 490) (-35) =

2 Absolute Value How far is this number from 0? = = = -5 = = Order of Operations Parenthesis Exponents Multiplication or Division Addition or Subtraction = ( ) 11 = = (-4) (-6) = 25. ( )( ) = = Ordering Fractions and Decimals Write the following numbers in order from least to greatest , 3, 5, , 3 10, 5 4, , 2 3 3, , 6.04, , -5.6, 5.266, , 6.044, 6.404

3 Fraction Computation To add and subtract fractions, first find common denominators. Then add or subtract numerators and keep the denominator. To multiply fractions, change all mixed and whole numbers to improper fractions then multiply numerators and multiply denominators. Cross cancel (factor) if possible. To divide fractions, change all mixed and whole numbers to improper fractions and then Keep- Change-Flip. Always simplify your answer = = = = = Decimal Computation-Addition and Subtraction Line up the decimal points and fill in zeros when needed = = (-3.85) = (-3.4)

4 Decimal Computation-Multiplying and Dividing Decimals Multiply as whole numbers. Count the decimal places in the factors to place the decimal place in the product. Divide as usual. Bring the decimal in the dividend straight up in the quotient = = = = Expressions-Combining Like Terms Ex: (s+12) + (3s+ 8) = s (4y + 3) + (y 2) 5y (3p 7) + (5p 6) + 3s + 8 4s ( 3 + 7m) ( 7m + 2) (5b -9) (24-6b) Equations Combine like terms. Add or subtract to get the coefficient and variable alone. Multiply or divide to get the variable by itself. 49. x + 15 = 8 x = y 3y = x + 6 = 22 x = x = x = x 4 3 = 24 x = 15

5 Distributive Property Ex: 4( m + 3 ) = 4m ( a 4) = 10a ( 7x 5) 57. 3( -2x 4y) = -6x -12y ( 8x + 10) Using the Distributive Property to Solve for x (2x + 8) = (4 +3x) = 65 x = 8 Inequalities Solve the inequalities. Graph the solution. Solve for x. Mark your number line. Use for =,, and. Use for > and <. Ex.: x x ( 3x 2) < - 16 x

6 Geometry Angles Two angles are complimentary when the sum of their measures is 90. Two angles are supplementary when the sum of their measures is 180. Two angles are vertical when they are opposite angles formed by the intersection of two lines. Vertical angles have the same measure. Tell whether angles are complimentary, supplementary or vertical. Find the value of x Geometry-Interior Angles Sums Find the measure of the missing angle. The sum of the angle measure of a triangle is

7 Geometry- Two Dimensional Figures Find the area and perimeter/circumference of the figures below. Round to the nearest hundredth when necessary. Use 3.14 for. Rectangle: Triangle: Trapezoid: Circle A= l w A = ½ b h A= ½ (a + b) h A = r 2 C= d 71. A = 64 sq. yd cm A = 8 yd. P = 32 yd. 6 cm P = cm A= 314 cm 2 C = 62.8 cm in. A= C = A= 27 in 2 P= 28 in A= P =

8 Coordinate Graphing (x,y) (across, up/down) Plot the following points on the graph. Label your points Find the coordinates. A 77. A(3,2) 78. C(0, -5) D 79. D( 5, 0 ) 80. E( ) E Data Analysis Mean- Add up the values and divide by the number of values Median-the middle value in an ordered set of values Mode-the value that occurs most often Range-the difference between the highest and lowest values in a set of data 112, 115,121, 112, 118, Mean Median- 83. Mode- 112, Range- Probability Suppose you have a bag of 20 marbles: 2 blue, 4 red, 8 yellow, 6 green. Use this information to complete the following 2 problems. Write each answer as a fraction, decimal and percent. 85. What is the probability of grabbing a red marble? 4 = What is the probability of grabbing a blue or green marble? = 0.2 = 20%

9 Proportions Find the missing value. Round to the nearest hundredth when necessary. Use cross multiplication = n 24 n = = 10 4 x = c 7 c = = n 36 Percents Turn percents into decimals before multiplying. Use y = mx. Don t forget that when you are finding the sale price, first determine the percentage off then subtract is what % of 200? 92. What number is 80% of 65? 16% 93. Original Price: $80 Discount 20% Sale Price $ Original Price: $112 Discount 32% Sale Price: Now that you have finished, you know which skills you need to practice to be ready for Algebra. Use the resources listed on the cover letter to find other ways to review these skills on your own. Packet Due: September 4th