Algebra I Exit Exam Review Sheet Test Format: 50 multiple choice questions with a supplement of 10 free response questions. Topics tested include but are not limited to: Absolute Value Equations Add and subtract polynomials Arithmetic sequences Box and Whisker plot Distance formula Evaluating functions Factoring polynomials Geometric sequences Graphing equations Graphing inequalities Graphing linear inequalities Inequalities Linear equations from two points Multiply polynomials Multiplying polynomials Odds Operations with Matrices Order of operations Percent of change Probability Properties of algebra Proportions Quadratic equations Quadratic formula Real number system Scientific notation Simplifying monomials Simplifying radical expressions Solving equations Solving formulas Stem and Leaf plot Systems of equations Systems of inequalities Transformations Translating words to symbols Trigonometric ratios Vocabulary tested includes but is not limited to: “Is less than” “Less than” Absolute value GRS - 2006 Arithmetic sequence Formulas Ascending order Associative property Distance Binomial Quadratic formula Commutative property Pythagorean Theorem Cosine Slope formula Descending order Standard form Dilation Slope-Intercept form Dividend Point-Slope form Divisor Trigonometric Ratios Evaluate Expression Geometric sequence Identity property Inequality Integers Irrational numbers Lower quartile Matrix Mean Median Mode Monomial Odds Polynomial Probability Product Quotient Range Rate of change Rational numbers Real numbers Reflexive property Replacement set Right circular cone Rotation Scalar multiplication Simplify Sine Solution Solve Sum Tangent Trinomial Upper quartile Vertex/vertices GRS - 2006 Sample problems: Evaluate x +-y 1) -6(5 + 4 · -3) – 10 · 2 2) for x = 2, y = -4, z = 7 3z 3) Translate the following sentence into an equation: The product of 3 and a number is 7 more than twice a number. 4) Find the probability of the following event: A bag contains 3 red, 4 blue, and 8 white marbles. Jorge reaches in without looking. What is the probability he will choose a blue marble? A blue or a white marble? A blue and a white marble? 5) From the situation above, what are the odds that Jorge chooses a white marble? Solve: - 4x - 8 6) 6x – 3 + 2x = 12 – x 7) = 10 8) -3(x – 9) + 2 = 22 3 - 7x+ 2 9) x2 + 7x + 12 = 0 10) = 9 11) x2 + 13x = 7 Simplify: Find the distance between: 3x2 y-7 z 12) 13) (3, 4), (-12, 5) 5 34 4xyz Evaluate: Write a linear equation in slope-intercept form 14) If h(x) = 3x2 – 10x, find h(-2) 15) (5, 9), (6, 12) Multiply: 16) (3x – 8)(2x + 4) 17) (5x – 8)2 GRS - 2006 A3 5 A3 5 Graph: .y = 2x - 3 18) y = -3x – 4 19) 4x + 2y = 5 20) . .y >-x + 2 Draw a box and whisker plot for the following set of data: 21) 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100 B 22) Using the drawing to the right, write the ratios of sin B, cos B, and tan B. 4 C Simplify: Arrange in descending order in terms of x. 5 610 7 23) 24xyz 24) 5x3y4 + 7xy + -4x5y + 2x2y Find the difference Factor 25) (4x2 – 3x + 8) – (-5x2 – 10) 26) 3x2 + x – 24 Factor completely Simplify 27) 3x2– 147 28) 4 3 - 2 2 +-73 + 9 2 GRS - 2006