1. Which one of the following expressions is not equal to all the others? 1 C. 1 D. 25x. 2. Simplify this expression as much as possible.
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1 004 Algebra Pretest answers and scoring Part A. Multiple coice questions. Directions: Circle te letter ( A, B, C, D, or E ) net to te correct answer. points eac, no partial credit. Wic one of te following epressions is not equal to all te oters? A. B. C. D. E. 4. Simplify tis epression as muc as possible. 5 ( y) 0 A. 0y B. 5y C. 5y D. 4y E y. Wic of following graps could be te grap of a function? I. II. III. 5 IV. V. a. I, II, III, IV b. I and IV c. II and III d. V e. I, III, IV, V 004 Algebra Pretest Page of 6
2 4. Find te value of y so tat te line passing troug te points (0,-) and (,y) as a slope equal to. A. -4 B. -8 C. 8 D. 4 E. 5. Wat is te factored form of 6= 4? A. ( )( + ) B. ( 6)( + ) C. ( + )( ) D. ( )( + ) E. ( + 6)( ) Part B. Writing points, equations, tables, graps, and functions Directions: Make sure your answers are neat and complete.. Here is a function wose grap is a line: f() = --. a. Write te coordinates of te point tat is te y-intercept. (0, -) point b. Write te coordinates of a point tat is on te -ais and also on tis line. (-/, 0) point c. On te grid below, make a grap for tis function. Label two points. point (-/, 0) (0, -) 004 Algebra Pretest Page of 6
3 . Here is a word description of a function: Square te number, ten divide by two. point eac for a, b, and c a. Write an equation for tis function. F() = ( )/ b. Wat is te name of tis type of function? Quadratic function c. On te grid below, make a grap for tis function. Label five points on tis grap. (-,) (-,/) (0,0) (,/) (,). Evaluate te following equation for te values of given in te table below. y= point for - correct points for - 4 correct points for 5 6 correct y / /9 Wat kind of equation is tis? eponential 004 Algebra Pretest Page of 6
4 4. Is it possible to find anoter line tat is parallel to + 9y = and passes troug te point 0, 9 ( )? point for NO, points for eplanation point for supporting incorrect answer reasonably Yes No Sometimes (circle a response) Eplain your reasoning on te lines below. Te point is already on te line and parallel lines ave te same slope. Tere is no oter line tat can pass troug te same point and ave te same slope on te coordinate plane. Part C. Solving and simplifying Directions: Sow all your work in te spaces provided.. Solve tis equation for b : A = ( b + b ) (Note: Tis is te formula for te area of a trapezoid were is te eigt, b and b are te two bases, and A is te area.) Sow your solving steps ere: points Write your solution ere: point A= ( b + b ) A = ( b + b ) A b = b A b = b. A 6 foot tree is planted beside a building tat is 6 feet tall. Te tree grows.5 feet per year. At tis rate, after ow many years will te tree be taller tan te building? = number of years > 6 X > (6 6)(/.5) X > 8 a. Write an inequality to represent tis problem. point b. Solve te inequality. Sow all work below. points 004 Algebra Pretest Page 4 of 6
5 . Solve tis system of equations. y = + 4 y = -6 points for work and point for solution Substitute: 4 ( + ) = -6 = -4 X = - Y = (-) + = - 4. Epand te epression (p 7) 4p 8p points for 4p ± 49 point for instead of 4 in st coefficient point for ± 8 in te nd term point for ± 4 in te nd term 5. Solve te equation + = 5 point for answer points for answer and solution ( brances) points for simple aritmetic error SOLVE: - + = 5 and - + = -5 = (5-)/(-) = - and = (-5-)/(-) = 4 6. Evaluate + wen = 4 points for correct answer, no work point for correct substitution, incorrect aritmetic - (-4 ) + (-4) = -6 4 = -0 Part D. Real world problems Directions: Sow all work for tese open response problems.. On January, a company ad $60, in an account. On June of te same year, te same company ad $0, in its account. If te amount in te company s account canged by an equal amount eac mont, find te rate of cange. Label your answer wit te correct units. point for units point for correct answer 004 Algebra Pretest Page 5 of 6
6 point for work RATE OF CHANGE = CHANGE IN $$ / MONTH RATE OF CHANGE = (60,000 0,000) / 5 RATE OF CHANGE = $50,000/5 MONTHS = - $0,000 per mont. Net summer Tomas plans to mow lawns in is neigborood to earn money for a new pair of rollerblades. Te relationsip between te ours e will work () and te amount of money tat e can earn (d) is sown in te table below: Hours () Money Earned (d) $6.00 $.00 $ $4.00 a. Based on tis data, ow muc would you predict tat Tomas can earn for 6 ours of work? Tomas can earn 6*G = 6 DOLLARS ( point) b. Based on tis data, ow muc would you predict tat Tomas could earn for ours of work? Tomas can earn $ 6 ( point) c. Based on tis data, ow many ours would you predict tat Tomas would ave to work to earn $ 70.00? 70 = 6H H = 70 / 6 = 90/ = 45 HOURS ( POINT) d. Write a formula tat uses te given variables to represent tis problem. ( points) FORMULA: d = 6H (d = DOLLARS EARNED H = HOURS WORKED) e. Wat are te numerical values of te slope and te intercept? (Te intercept in tis case refers to te intercept of te Money Earned ais ) Slope = 6 Intercept = (0,0) ( points full credit if tis matces a wrong answer in part D) 004 Algebra Pretest Page 6 of 6
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