GHSGT Number/Comp and Algebra Review

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## GHSGT Number/Comp and Algebra Review

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**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!**Percents, Fractions, Decimals**Percent to decimal – decimal point two places to left 50.0 % becomes 0.50 Decimal to percent – decimal point two places to right 1.37 becomes 137. % Fraction to decimal – divide numerator by denominator becomes**Represent 45% as a fraction.**• A)1/5 • B)2/10 • C)9/20 • D)45/50**Express 0.456 as a percent.**• A).00456% • B)4.56% • C)45.6% • D)456%**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?**Exponents**Multiply terms with exponents by adding exponents Divide terms with exponents by subtracting exponents**Exponents**• Simplify: p-2p5 • A)p-10 • B)p-3 • C)p3 • D)p7**Scientific Notation**Huge Numbers Tiny Numbers**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**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**Rules for Integers**Use the calculator!!! • Adding • 2 positives = positive 2 negatives = negative • Subtracting • Subtraction is just adding the opposite sign • 3 – -5 = 3 + -(-5) = 3 + 5 = 8 • MultiplyingandDividing 2 positives or 2 negative = positive 1 positive and 1 negative = negative**Order of Operations**P Parenthesis E Exponents M, D Multiply & divide A, S Add & subtract**Simplify: 2 3 + 4 - 62**• A) -26 • B) -22 • C) -2 • D) 10**Simplify Algebraic Expressions**Combine like terms**Simplify**• Add: (3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1)? • A)-2t2 +18t + 9 • B) -2t4 + 182 + 9 • C)2t4 -18t – 9 • D) 25t7**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.**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**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**Which represents the sentence twenty less than triple a**number is thirty? • 20 – 3x = 30 • 20 – 3x > 30 • 3x - 20 < 30 • 3x – 20 = 30**Solve Equations**Keep it balancedPerform the opposite operations**Solve the equation for x.**• -16 • 16 • -32/3 • 32/3**Solve for x**• Solve the quadratic equation: 4x2 - 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 x2 equations have TWO solutions!**Linear Equations- intercept method**y intercept (x = 0) x intercept (y = 0)**Linear Equations – Slope**positive undefined negative zero**-3**0 Solve and Graph Inequalities Same as equations EXCEPT when multiply or divide by a a negative number flip the inequality**6x - 2(x + 1) > 0**• Solve the inequality. • A) x > 2 • B) x < 2 • C) x < 1/2 • D) x > 1/2**Solve.**• Solve the inequality.-2x + 5 ≥ 3x + 20 • A) x ≤ 3 • B) x≥ 3 • C) x ≤ -3 • D) x≥ -3**Systems of Linear Equations**Solution Main Idea The solution to a system of equations is the point where the 2 lines intersect When you substitute the solution, it must make BOTH equations true !!**Identify the solution to the system of equations graphed.**• (0, 1) • (1 -1) • (0, -3) • (-1, 1)**Systems of Equations – Substitution**substitute**x = y - 3x + 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)**Systems of Equations – Elimination**eliminate y add both equations**2x - 3y = 16 5x - 3y = 13**What is the solution to the system of equations? A) (-1, -6) B) (-6, -1) C) (5, -2) D) (5, 4)**A**BCD**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