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CST Summative Math Review Algebra 1 Standards • 18 questions – 28% of test • Test includes questions from the following categories: – Number Properties, Operations, & Linear Eqns – Graphing & Systems of Linear Eqns – Quadratics & Polynomials – Functions & Rational Expressions Algebra II Standards • 23 questions – 35% of the test • Categories include: – Polynomials & Rational Expressions – Quadratics, Conics & Complex Numbers – Exponents & Logarithms – Series, Combinatorics, & Probability & Statistics Geometry Standards • 19 questions – 29% of the test • Questions fall into the following categories – Logic & geometric proofs – Volume & area formulas – Angle relationships, constructions, & lines – trigonometry Probability & Statistics Standards • 5 questions – 8% of the test • Test includes questions from the following: – Probability of independent events – Conditional probability – Variance & standard deviation 1. What is the complete solution to the equation 3 6 x 15 ? A. x 2; x 3 B. x 2; x 3 C. x 2; x 3 D. x 2; x 3 2. What are the possible values of x in 12 4 x 2 ? A. x 2.50 or x 3.50 B. 3.50 x -2.50 C. 3.5 x 2.5 D. x 2.50 or x 3.50 3. Which equation is equivalent to 5x −2( 7 x +1) =14x? A B C D −9x-2 =14x −9x+1=14x −9x+2 =14x 12x−1=14x 4. Which equation is equivalent to 33 − 5x = 6− 3(1−3x)? A B C D -7x = 30 7x = -30 7x = 15 -7x = -15 5. “Two lines in a plane always intersect in exactly one point.” 6. Which figure can serve as a counterexample to the conjecture below? Which of the following best describes a counterexample to the assertion above? If one pair of opposite sides of a quadrilateral is parallel, then the quadrilateral is a parallelogram. A.Coplanar lines B.Parallel lines C.Perpendicular lines D.Intersecting lines A.Rectangle B.Rhomus C.Square D.trapezoid 7. What is the probability of tossing a six-sided die twice and getting a sum of 5? A. B. C. D. 1/18 2/9 1/9 1/36 8. What is the probability of drawing two yellow marbles (without replacement) from a bag containing 3 green, 6 yellow, and 5 red marbles? A. B. C. D. 15/91 18/91 1/3 3/4 9. Which equation is equivalent to 3[7x − 4 (x−3) ]+1=16 ? A B C D 9x−2=16 9x+37 =16 17x−2=16 17x+13 =16 10. The total cost (c) in dollars of renting a sailboat for n days is given by the equation c =120 +60n. If the total cost was $360, for how many days was the sailboat rented? A B C D 2 4 6 8 11. Given: TRAP is an isosceles trapezoid with diagonals RP and TA. Which of the following must be true? A. B. C. D. RP ┴ TA RP ║ TA RP TA RP bisects TA 12. Which triangles must be similar? A. Two obtuse triangles B. Two scalene triangles with congruent bases C. Two right triangles D. Two isosceles triangles with congruent vertex angles 13. What is the solution t o the system of equations shown below ? 2 x y 3 z 8 x 6 y z 0 6 x 3 y 9 z 24 A. 0,4,4 10 B. 1,4, 3 C. no solution D. infinitely many solutions 14. What is the probability of selecting a face card or a 2 from a standard deck of playing cards? 15. If the probability of an event happening is P(E)=0.72, what is the probability that the event will not happen? A. B. C. D. A. B. C. D. 3/13 12/13 11/13 4/13 0.72 0.14 0.28 1 16. Which polynomial represents 2 x 7 2 x 4 21x 3 35 x 2 37 x 46 4 A. x 7 x 7 x 6 2x 7 3 2 4 B. 2 x 14 x 14 x 12 2x 7 4 3 2 C. x 7 x 7 x 6 2x 7 4 3 2 D. x 7 x 7 x 6 2x 7 3 2 17. What is 20x -4 8 x 3 ? 2 5 27 y 15 y 32 y 3 A. 81x 32 B. 81xy7 25 y 3 C. 18 x 25 D. 18 xy7 18. In the accompanying diagram, parallel lines l and m are cut by transversal t. t 1 l 2 m Which statement about angles 1 and 2 must be true? A. B. C. D. 1 and 2 are congruent 1 is the complement of 2 1 is the supplement of 2 1 and 2 are right angles 19. What values of a and b make quadrilateral MNOP a parallelogram? 21 N O 3a-2b M A. a 1, b 5 B. a 5, b 1 11 34 C. a , b 7 7 34 11 D. a , b 7 7 13 4a+b P 20. Which point lies on the line defined by 3x+6y=2? A B C D (0, 2) (0, 6) (1, -1/6) (1, -1/3) 21. What is the equation of the line that has a slope of 4 and passes through the point(3, -10)? A B C D y=4x-22 y=4x+22 y=4x-43 y=4x+43