3) Arsha made the following statement.

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1 lgebra I enchmark 3 Please choose the best answer choice for each of the following questions. 1) ssertions made by four students are noted below. Nora: Jane: Nate: John: Which student wrote a TRUE statement that uses the associative property of addition? Nora Jane Nate John ItemI 2K Standard: I 1.0 3) rsha made the following statement. Rational numbers are always written as fractions. Which is a counterexample to the above statement? 3 ItemI 2K orrect Standard: I ) Jan was asked to simplify the expression. Her work on the problem is shown below. 2) Simplify the expression. ItemI 2K orrect Standard: I 10.0 ecide if Jan made a mistake in her work. If Jan did make a mistake, what is it? She did not make a mistake. She added before multiplying. She used the distributive property incorrectly. She did not simplify inside the grouping symbols first. ItemI 2K orrect Standard: I 25.0 lgebra I enchmark 3 Page 1

2 5) Jill asserted that 2(3x 5) = 6x 10. She wrote her proof below. Step 1: 2(3x 5) = 2(3x) 2(5) Step 2: 2(3x) 2(5) = (2 3)x 2(5) Step 3: (2 3)x 2(5) = 6x 10 Which property did Jill apply in Step 1? associative property distributive property commutative property identity property of multiplication ItemI 2K orrect Standard: I 1.0 6) What are the solutions for in the equation?,,,, ItemI 2K orrect Standard: I 3.0 7) Solve 2b + 6 > < b < < b < 17 b < 17 or b > 23 b < 23 or b > 17 ItemI 2K Standard: I 3.0 8) Which of the following could be a first step in correctly solving the equation below? ItemI 2K Standard: I 4.0 9) In order to solve this inequality, the left side must be simplified first. Which of the following expressions shows the result of simplifying the left side? ItemI 2K orrect Standard: I ) Solve for x. ItemI 2K orrect Standard: I 4.0 lgebra I enchmark 3 Page 2

3 11) Solve the proportion. 14) Solve for. ItemI 2K orrect Standard: I ) In order to see an entire reflection in a mirror, the height of the mirror must vary directly with the object s height. In order to see all of an object that is 60 inches tall, the mirror must be 45 inches tall. How tall must a mirror befor an object that is 100 inches tall? 27 inches 75 inches 85 inches 133 inches ItemI 2K orrect Standard: I ) There are 3 times as many boys as girls in a physical education class. If the class consists of 36 students, how many girls are in the class? 2 4 ItemI 2K Standard: I ) nalyze the graph to determine the y-intercept of the linear function ItemI 2K orrect Standard: I girls 12 girls 24 girls 27 girls ItemI 2K orrect Standard: I 5.0 lgebra I enchmark 3 Page 3

4 16) Which linear inequality EST represents the graph below? 18) Which equation represents a line that passes through the points (2, 1) and ( 2, 3)? x + y = 3 x + y = 1 x + 2y = 4 2x + y = 1 ItemI 2K orrect Standard: I 7.0 ItemI 2K orrect Standard: I ) ngela is going to graph the equation y = 6 x using the x-intercept and the y-intercept. Which of these sets of ordered pairs represents the x- and y-intercepts that ngela will use to graph her equation? { (0, 8), ( 6, 0)} { (0, 6), ( 8, 0)} { (0, 6), (8, 0)} { (0, 8), (6, 0)} ItemI 2K orrect Standard: I ) What is the equation of a line with a slope of 3 that passes through the point (1, 5)? y + 3x = 8 y 3x = 8 y + 3x = 16 y 3x = 16 ItemI 2K orrect Standard: I ) The graph of ndrew s line has an x-intercept of 2 and a y-intercept of 3. Which equation represents the graph of ndrew s line? 2y = 3x 4 2y = 3x + 6 3y = 2x + 4 3y = 2x + 9 ItemI 2K orrect Standard: I 7.0 lgebra I enchmark 3 Page 4

5 21) Which graph shows the solution of this system? x + 2y 8 y 3x > 1 ItemI 2K orrect Standard: I ) Which ordered pair represents the intersection of and? ItemI 2K orrect Standard: I ) Martha solved a system of inequalities by graphing it on this coordinate plane. Which system algebraically represents Martha s solution? ItemI 2K Standard: I 9.0 lgebra I enchmark 3 Page 5

6 24) Which graph shows the solution to the system of equations below? 25) Jackie can sew napkins 3 times as fast as her friend Sue can. Working together, they can sew 300 napkins in 6 hours. How long will it take Jackie to sew 300 napkins if she works alone? 50 hours 8 hours 6 hours 2 hours ItemI 2K orrect Standard: I ) For a chemistry experiment, Judy needs to determine the density of a piece of metal. She has determined that the metal s mass is 702.8g and its volume is 62.2cm 3. What is the approximate density of the metal? ensity = mass volume g/cm g/cm g/cm g/cm 3 ItemI 2K orrect Standard: I 15.0 ItemI 2K Standard: I 9.0 lgebra I enchmark 3 Page 6

7 27) Miguel s average driving speed for a 4-hour trip was 45 miles per hour. uring the first 3 hours he drove 40 miles per hour. What was his average speed for the last hour of the trip? 29) The height, h, of a ball that was hit in a baseball game is shown in the graph below. 50 miles per hour 60 miles per hour 65 miles per hour 70 miles per hour orrect Standard: I ) What is the domain of the relation given in the table below? Which of these represents the range of the graphed function? 0 h 8 0 h 25 all real numbers { 3, 5, 6, 7} ItemI 2K orrect Standard: I h 25 5 h 40 ItemI 2K orrect Standard: I ) The lengths of the sides of a triangle are,,and.what is the perimeter of the triangle? ItemI 2K orrect Standard: I 10.0 lgebra I enchmark 3 Page 7

8 31) Simplify. 34) Maria used the function below to model a rocket s height (h) in feet over time (t) in minutes. h(t) = 2 t t ItemI 2K Standard: I ) Factor completely. How many minutes after launching will the rocket hit the ground? 2 minutes 6 minutes 10 minutes 12 minutes ItemI 2K orrect Standard: I 14.0 ItemI 2K orrect Standard: I ) Factor. ItemI 2K Standard: I ) Lynn is solving the equation x 2 x = 6 by factoring. Step 1: x 2 x 6 = 6 6 Step 2: x 2 x 6 = 0 Which is Step 3 in the solution? (x + 2)(x 3) = 0 (x 2)(x + 3) = 0 (x + 2)(x + 3) = 0 (x 2)(x 3) = 0 ItemI 2K orrect Standard: I 14.0 lgebra I enchmark 3 Page 8

9 36) The two solutions to a certain quadratic equation can be found by evaluating these two expressions. and Which quadratic equation has the above solutions? ItemI 2K orrect Standard: I ) Four students were asked to solve the following equation using the quadratic formula. Which of these shows the formula set up correctly to find both solutions of the above equation? 38) What are the solutions, rounded to the nearest hundredth, of the equation? 0.29, , , , ItemI 2K Standard: I ) Solve the equation below. x 2 + 6x 5 = 0 What are the solutions to the equation? x = 5; x = 1 x = 5; x = 1 x = 3 + ; x = 3 x = 3 + ; x = 3 ItemI 2K Standard: I 20.0 ItemI 2K Standard: I 19.0 lgebra I enchmark 3 Page 9

10 40) Which parabola represents the correct roots and vertex for the equation, Standard: I ) Martina drew this graph of a quadratic equation. What are the root(s) of this equation? 0 only 1 and 5 3 and 5 only ItemI 2K orrect Standard: I ) Peter throws a ball up into the air off the top of a building that is 45 feet tall. The function gives the height of the ball seconds after Peter releases it. fter how many seconds will the ball hit the ground? 1 second 1.25 seconds 2.25 seconds 4 seconds ItemI 2K orrect Standard: I 23.0 ItemI 2K orrect lgebra I enchmark 3 Page 10

11 43) Stephen hit a golf ball off the ground with an initial upward velocity of 55 feet per second. The golf ball s distance above the ground, h, can be determined by the equation h = 16t 2 + vt, where v = the initial upward velocity and t = time in seconds. When will the golf ball return to the ground? in 1.72 seconds in 3.46 seconds in 5.15 seconds in 6.86 seconds ItemI 2K orrect Standard: I ) Which is the sum of? ItemI 2K orrect Standard: I ) What is the sum, in simplest form, of 44) Simplify. ItemI 2K orrect Standard: I ) Simplify. ItemI 2K orrect Standard: I 12.0 ItemI 2K orrect Standard: I ) What is the sum of and? lgebra I enchmark 3 Page 11 ItemI 2K Standard: I 13.0