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Mid-Term Study Guide

Mid-Term Study Guide. SOL 7.1. I must be able to: Compare ( <, >, =) Order (least to greatest) Fractions Decimals Percents Scientific Notation. 7.1 Notes. Change all numbers to decimals to compare and order To turn to decimals:

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Mid-Term Study Guide

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  1. Mid-Term Study Guide

  2. SOL 7.1 • I must be able to: • Compare ( <, >, =) • Order (least to greatest) • Fractions • Decimals • Percents • Scientific Notation

  3. 7.1 Notes • Change all numbers to decimals to compare and order • To turn to decimals: • Fractions: divide top number by bottom number (1/4 = 1 ÷4 = 0.25) • Percents: move decimal 2 places to the left (15% = .15) • Scientific Notation: Move decimal to the right based on the exponent (ex: 2.67 x 104 = 26,700)

  4. SOL 7.1 Sample Problems

  5. SOL 7.2 • I must be able to: Simplify expressions with exponents, using order of operations

  6. 7.2 Notes PEMDAS P - Parenthesis E - Exponents M/D - Multiplication and Division from left to right A/S - Addition and Subtraction from left to right

  7. SOL 7.2 Sample Problems

  8. SOL 7.3 • I must be able to: Identify and apply (use) the following properties: Commutative (Add and Mult) Associative (Add and Mult) Identity (Add and Mult) Inverse (Add and Mult) Distributive Multiplicative Property of Zero

  9. SOL 7.3 Notes * Commutative Property of addition: a + b = b + a of multiplication: a x b = b x a * Associative Property of addition: a + (b+c) = (a+b) +c of multiplication: a x (b x c) = (a x b) x c **same order**

  10. SOL 7.3 Notes * Identity Property: of addition: a + 0 = a of multiplication: a x 1 = a * Inverse Property: of addition: a + (-a) = 0 of multiplication: a x 1/a = 1

  11. SOL 7.3 Notes * Distributive Property: a(b+c) = ab + ac • Multiplicative Property of Zero: a x 0 = 0

  12. SOL 7.3 Sample Problems

  13. SOL 7.4 • I will be able to: • Solve problems with fractions, decimals, and percents • Solve problems involving tips, discounts, sales tax, and simple interest

  14. SOL 7.4 Notes • Tips, Discounts, and Sales Tax • Change percent to decimal (15% = .15) • Multiply • Add or Subtract as needed Ex: $45.00 with a 10% discount 45.00 x .10 = 4.50 45.00 - 4.50 = 40.50

  15. SOL 7.4 Notes continued • Interest = prt • P = principal ($) • R = rate (%) • T = time in years Ex: $1000 in a savings account with 5% interest for 2 years $1,000 x .05 x 2 = $100 interest

  16. SOL 7.4 Sample Problems

  17. SOL 7.5 • I will be able to: • Add • Subtract • Multiply • Divide Using Integers

  18. SOL 7.5 Notes • Adding Integers If signs are the same, add the numbers and keep the sign Ex: -4 + -4 = -8 If signs are different, subtract the numbers and keep the sign of the highest number Ex: -5 + 3 = -2

  19. SOL 7.5 Notes • Subtracting Integers • Change to Addition • Change the sign of the second number Ex: 7 - (-4) = 7 + + 4 = 11

  20. SOL 7.5 Notes • Multiplying and Dividing Integers • If signs are the same, the answer is positive • If signs are different, the answer is negative Ex: 5 x -4 = -20 -5 x -4 = -20

  21. SOL 7.5 Sample Problems

  22. SOL 7.12 • I will be able to: • Identify ordered pairs • Identify quadrants • Graph ordered pairs On the coordinate plane

  23. SOL 7.12 Notes • The coordinate plane is divided into four quadrants

  24. SOL 7.12 Notes • Ordered pairs are written (3, 4) with the x-coordinate first, and then the y-coordinate. • The x-axis is horizontal (left to right) with positive values to the right and negative values to the left • The y-axis is vertical (up and down) with positive values up and negative values down.

  25. SOL 7.12 Sample Problems

  26. SOL 7.16 • I will be able to: Create and solve problems using Measures of Central Tendency Mean Median Mode and the range

  27. SOL 7.16 Notes • Mean - average - add the numbers then divide by the number of data (should not be used when there is an outlier) • Median - middle number - must be ordered least to greatest • Mode - number most often used • Range - highest number minus the lowest number

  28. SOL 7.16 Sample Problems

  29. SOL 7.17 • I will be able to: • Collect • Analyze • Display • Interpret data using: • Frequency tables • Line plots • Histograms • Stem-and-leaf plots • Box-and-whisker plots • Scatterplots

  30. SOL 7.17 Sample Problems

  31. SOL 7.18 • I will be able to: make inferences, conjectures, and predictions based on data.

  32. SOL 7.18 Sample Problems

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