1. GHSGT Number/Comp and Algebra Review How to use this review: Play the PPT from the beginning and try each question. Press ‘Enter’ to determine the correct answer. Look for boxes that highlight the main idea of the concept. Return to the SHS GHSGT Prep page to try more review questions. Pass the FIRST time!

2. Number and Computation 17% of test

3. Percents, Fractions, Decimals Percent to decimal – decimal point two places to left 50.0 %becomes0.50 Decimal to percent – decimal point two places to right 1.37becomes137. % Fraction to decimal – divide numerator by denominator becomes

4. Represent 45% as a fraction. A)1/5 B)2/10 C)9/20 D)45/50

5. Express 0.456 as a percent. A).00456% B)4.56% C)45.6% D)456%

6. Using Percents Interest = principal × rate × time Mr. Sam borrowed $1000 for 6 months at an annual interest rate of 27 percent. How much interest did he pay?

7. Exponents Multiply terms with exponents by adding exponents Divide terms with exponents by subtracting exponents

8. Exponents Simplify: p -2 p 5 A)p -10 B)p -3 C)p 3 D)p 7

9. Simplify: (a 3 b 2 ) 4 A. (ab) 20 B. (ab) 24 C. a7b6a7b6 D. a 12 b 8

10. Scientific Notation Huge Numbers Tiny Numbers

11. Estimates You have a calculator – use it ! Main idea Round the numbers in the problem so you can do the math in your head…(or on your fingers) 12,357 becomes 12,000 3.12 becomes 3

12. Properties of Numbers Remember the Names Commutative “commute”3 + 5 = 5 + 3 Associative “associate at a party in different groups” 4(2x + 3) = (2x + 3)4 Distributive 3(5 + 1) = 3 × 5 + 3 × 1 Identity “mirror #” (Addition)-3 + 0 = -3 Identity “mirror #” (Multiplication)5 × 1 = 5

13. Rules for Integers Adding 2 positives = positive2 negatives = negative Subtracting Subtraction is just adding the opposite sign 3 – -5 = 3 + -(-5) = 3 + 5 = 8 Multiplying and Dividing 2 positives or 2 negative = positive 1 positive and 1 negative = negative Use the calculator!!!

14. Order of Operations P Parenthesis E Exponents M, D Multiply & divide A, S Add & subtract

15. Simplify: 2 3 + 4 - 6 2 A) -26 B) -22 C) -2 D) 10

16. Simplify Algebraic Expressions Combine like terms

17. Algebra Review 29% of test

19. Simplify Add: (3t - 3) + (6t 2 + 4t + 13) + (-8t 2 + 11t - 1)? A)-2t 2 +18t + 9 B) -2t 4 + 182 + 9 C)2t 4 -18t – 9 D) 25t 7

20. Evaluate Algebraic Expressions Evaluate an algebraic expression means to substitute a number for each variable and then carry out the indicated operations – remember to follow the order of operations.

21. If r = -6, s = -2, t = -3 v = 10, and w = -1/2 then wv|-t - s| = A) -25 B) -5 C) 5 D) 25

22. Write Algebraic Expressions Translate word for word into algebraic symbols The sum of a and b multiplied by two-thirds A number divided by two is equal to two-thirds of another number

23. Which represents the sentence twenty less than triple a number is thirty? A)20 – 3x = 30 B)20 – 3x > 30 C)3x - 20 < 30 D)3x – 20 = 30

24. Solve Equations Keep it balanced Perform the opposite operations

25. Solve the equation for x. A. -16 B. 16 C. -32/3 D. 32/3

26. Solve for x Solve the quadratic equation: 4x 2 - 9 = 0 A) 3/2 B) -3/2 C) 9/4 and -9/4 D) 3/2and -3/2 If you’re clueless, just use your calculator to plug in all answers for x! Remember x 2 equations have TWO solutions!

27. Linear Equations- intercept method x intercept (y = 0) y intercept (x = 0)

28. Linear Equations – Slope positive negative undefined zero

29. Solve and Graph Inequalities Same as equations EXCEPT when multiply or divide by a a negative number flip the inequality 0-3 OpenClosed >, <

30. 6x - 2(x + 1) > 0 Solve the inequality. A) x > 2 B) x < 2 C) x < 1/2 D) x > 1/2

31. Solve. Solve the inequality. -2x + 5 ≥ 3x + 20 A) x ≤ 3 B) x ≥ 3 C) x ≤ -3 D) x ≥ -3

32. Systems of Linear Equations Main Idea The solution to a system of equations is the point where the 2 lines intersect Solution When you substitute the solution, it must make BOTH equations true !!

33. Identify the solution to the system of equations graphed. A. (0, 1) B. (1 -1) C. (0, -3) D. (-1, 1)

34. Systems of Equations – Substitution substitute

35. x = y - 3 x + 3y = 13 What is the solution to the system of equations? A) (1, 4) B) (4, 1) C) (2.5, 5.5) D) (5.5, 2.5)

36. Systems of Equations – Elimination add both equations eliminate y

37. What is the solution to the system of equations? A) (-1, -6) B) (-6, -1) C) (5, -2) D) (5, 4) 2x - 3y = 16 5x - 3y = 13

38. Which mapping has EXACTLY the set of points {(2,6), (3,6), (4,8)}? ABCDABCD

39. Note: This PPT was trimmed from an original document on the web by Hillgrove HS in Cobb County, GA. I have made particular additions and subtractions due to our school’s needs. The original home of the PPT is: http://www.cobbk12.org/schools/Hillgrove/GHSGT%20REVEIWS/ Math%20GHSGT.htm Mr. White 3/2009