OGT Review 2 Patterns, Functions, and Algebra

Transcription

1 OGT Review 2 Patterns, Functions, and Algebra Show all work!!!!!!!!!!!!!!!!!!!!!! Name 1. The table below contains the results if a biology experiment. Assuming the pattern shown in the table continues, what is the value of b? Record of Blooms Week Number of Bloom b A. 108 B. 130 C. 162 D Which equation is equivalent to 3(2x 5) = 4(x + 3) A. 2x = -27 B. 2x = 27 C. 10x = 27 D. 10x = A system of equations is shown below. 3x + 2y = 19 2x y = 1 What is the solution to the system of equations? A. x = 1, y = 1 B. x = 3, y = 5 C. x = 7, y = -1 D. x = 19, y = 1

2 4. Travis went on a long trip. The graph below represents the relationship between distance and time. During what interval was Travis average rate of travel the faster? A. 0 to 6 B. 6 to 8 C. 8 to 11 D. 11 to The table below shows values for x and y. x y Which of these equations represents the relationship between x and y? A. = x 1 B. y = x + 19 C. y = x 2-1 D. y = 2x Julie does not want to spend more than $300 on ice-skating. Her skates will cost $42, her lessons will cost a total of $ 56, and the practice time will cost $7.50 per hour. Which inequality should Julie use to determine the maximum number of hours, h, she can practice without spending more than $ 300. A h < 300 B h < 300 C. 7.50h < 300 D h < 300

3 7. Carol calculates her total earnings for the month with the equation E = 15m + 5b Where E is the total number of dollars she earns, m is the number of lawns she mows, and b is the number of hours she baby-sits. If Carol mows 6 lawns, how many hours must she baby-sit to earn a total of $ 200? A. 20 B. 22 C. 40 D Maria is making a quilt. She has a large piece of fabric that is 0.02 millimeters thick. The fabric is cut in half and one piece is placed on the top of the other to make a pile. The pile is cut in half, and then one half is placed on top of the other to make a higher pile. Continuing this process, what would the thickness of the pile be after the 4 th cut and piling? A millimeters B millimeters C millimeters D. 16 millimeters 9. Which of these represents the graph of the equation 3x + 4y = -12?

4 10. A producer has $2 million budgeted for costs related to filming a movie on location. She estimates the costs to be: c = $108,000n + $175, 000 where c = cost in dollars and n= number of days. What is the greatest number of days she can film on location and remain within the budget? A. 11 days B. 16 days C. 18 days D. 20 days 11. Cameron has $500 in savings on January 1. Quinn had $800 in savings on January 1. Cameron deposits $20 per week into his savings account. Quinn withdraws $15 per week from his savings account. Write two equations: one for the amount of money in Cameron s savings x weeks after January 1 st, and one for the amount of money in Quinn s savings x weeks after January 1 st. Determine the number of weeks until Cameron will have more money in his savings account than Quinn. Show your work or provide an explanation for your answer. (This is a 2-point question) 12. Which graph represents a linear function?

5 13. Mrs. Dalton told Yolanda that her test had 38 problems worth a total of 100 points. Each test problem is worth either 5 points or 2 points. Yolanda wanted to determine how many 2-point and how many 5-point questions are on the test. Determine how many questions of each point-value are on the test. Show your work or provide an explanation to support your answer. (This is a 2-point question.) 14. The first five rows of a number array are shown below. Row 1 1 Row Row Row Row What is the sum of the numbers in row 8? A 175 B. 224 C. 231 D Which equation is equivalent to x 2-100x + 2,400 = 0? A. (x 40)(x 60) = 0 B. (x 30 )(x 80) = 0 C. (x + 20)(x 120) = 0 D. (x + 20)(x + 120) = 0

6 16. The graph, as shown, represents the amount of money Sarah can earn at her part-time job. Which of the following equations best represents the relationship between Sarah s pay and the hours she works? A. y = 4x B. y = 6.5x C. y = 4x + 10 D. y = 6.5 x The maximum heart rate is the highest number of beats per minute recommended for a person while exercising. The rate is dependent upon the age of the person as shown below. The relationship is linear. (This is a 2-point question) Age Maximum Heart Rate Write an equation that can be used to find the maximum heart rate for any age. Show your work or provide an explanation for how you determined your equation.

7 18. A local art museum charges the admission to groups according to the following rates. Groups of fewer than 50 people are charged a rate of $4.00/ person Groups of 50 people or more are charged a reduced rate of $3.50/person. How much money will a group of 49 people save in admission costs if it can recruit one additional member? A. $0.50 B. $21.00 C. $ D. $ Jessica participated in a walk-a-thon to raise money for a local charity. She began walking at a rate of 3 miles per hour. The graph represents her distance walked as a function of time. If Jessica had walked at an average rate of 2 miles per hour, which of the following accurately illustrates how this graph would appear, using the same scale?