Test Prep Test Prep Certifications SBAC Questions & Answers

• Question 201:

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  Case study

  Lights, Candles, Action!

  Your friend Abbie is making a movie. She is filming a fancy dinner scene and she has two types of candles on the table. She wants to determine how long the candles will last.

  She takes a picture, lights the candles, and then lets them burn for 1 hour. She then takes a second picture. You can assume that each candle burns at its won constant rate.

  

  Candle Type A initial height = 20 cm

  Candle Type B initial height = 10 cm Candle Type A height after burning for 1 hour = 16 cm Candle Type B heignt after burning for 1 hour = 9 cm

  You will use this information to help Abbie think about the candles she might use for her film.

  For her next film, Abbie wants candles that will burn for exactly 8 hours. You want to give her a choice by designing two different candles (Type C and Type D).

  Using the equation h = k + nt, determine two different pairs of values for k and n that will meet the requirement to burn down to a height of 0 cm in exactly 8 hours.

  Complete the table to show two possible sets of values for k and n for your new candle designs.

  

  A.

  See explanation below.

  Correct Answer: A

  2 points: The student creates values for k and n that result in Candle Type C and Candle Type D burning out in 8 hours.

  1 point: The student creates values for k and n that result in Candle Type C or Candle Type D burning out in 8 hours.

  0 points: All other responses.

  Sample full-credit responses:

  

• Question 202:

  

  A.

  See explanation below.

  Correct Answer: A

  4x2 − 6x or −6x + 4x2

• Question 203:

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  When a transversal intersects a pair of parallel lines it will create two pairs of alternate exterior angles.

  Ricky claims the angles within each pair are congruent to each other, but not congruent to either angle in the other pair.

  Part A

  Draw a transversal through the point that supports Ricky's claim or choose NONE if there is not a situation to support the claim.

  Part B

  Draw a transversal through the point that refutes Ricky's claim, or choose NONE if there is not a situation to refute the claim.

  

  A.

  See explanation below.

  Correct Answer: A

  Exemplar: (shown below)

  Part A: a pair of parallel lines cut by transversal that is not perpendicular to the parallel lines.

  

  Part B: a pair of parallel lines cut by perpendicular transversal.

• Question 204:

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  Consider this right triangle.

  

  Enter the ratio equivalent to sin (B).

  

  A. 21/29

  Correct Answer: A

• Question 205:

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  A train travels 250 miles at a constant speed (x), in miles per hour.

  Enter an equation that can be used to find the speed of the train, if the time to travel 250 miles is 5 hours.

  

  A.

  See explanation below.

  Correct Answer: A

  

  or equivalent. However, do not accept x = 50 only.

• Question 206:

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  A store sells used and new video games. New video games cost more than used video games. All used video games cost the same. All new video games also cost the same.

  Omar spent a total of $84 on 4 used video games and 2 new video games. Sally spent a total of $78 on 6 used video games and 1 new video game. Janet has $120 to spend.

  Enter the number of used video games Janet can purchase after she purchases 3 new video games.

  A. 5

  Correct Answer: A

• Question 207:

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  Click on the region of the graph that contains the solution set of the system of linear inequalities.

  

  A.

  See explanation below.

  Correct Answer: A

  

• Question 208:

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  Consider this solution to a problem.

  Problem: -4(6 - y) + 4 = -4 Step 1: -24 - 4y + 4 = -4 Step 2: -20 - 4y = -4 Step 3: -4y = 16 Step 4: y = -4

  Part 1: enter the number of the step where the mistake is made.

  Part 2: enter the correct solution to the problem.

  A.

  See explanation below.

  Correct Answer: A

  Part 1: Step 1 Part 2: y = 4 (or 4)

• Question 209:

  

  A. b7

  Correct Answer: A

• Question 210:

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  Nina has some money saved for a vacation she has planned.

  The vacation will cost a total of $1600.

  She will put $150 every week into her account to help pay for the vacation.

  She will have enough money for the vacation in 8 weeks.

  If Nina was able to save $200 a week instead of $150 a week, how many fewer weeks would it take her to save enough money for the vacation?

  Enter the result.

  A. 2

  Correct Answer: A