Proportional Relationships and Lines Unit Exam Part 1

Transcription

1 Name: Ms. Sam Date: Group: Proportional Relationships and Lines Unit Exam Part 1 Instructions: Be sure to read carefully all the directions in the exam. Read each question carefully and think about the answer before choosing your response. You may not use a calculator. Learning Target #1: I can calculate the unit rate/slope of a line. 1. Find the rate of change from the table. Time (h) Rainfall (mm) A. 3 mm/h B. 2 mm/h C. 3 mm/h D. 4 mm/h 2. Find the rate of change from the graph. Temperature and Altitude Temperature (C) Altitude (m) A. "" /m B. "" /m C. D. /m "" /m "" 3. The line represented by the equation 2x + y = 3 has a slope of A. 3 B. 2 C. 2 D. 3 1

2 4. Find the slope of the line that passes through the points (0,3) and (6,1). A. B. C. 3 D. 3 Learning Target #2: I can use similar triangles to explain why the slope is the same between any two distinct points on a non-vertical line in the coordinate plane. 5. In the diagram below, ABC is similar to ART. If the slope of AC is 2, what is the value of x for the coordinate C? A. 2 B. 2 C. 4 D. 4 Learning Target #3: I can derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. 6. If a line contains the points in the table below, the equation of the line is A. y = 2x + 5 B. y = 2x 5 C. y = 5x 2 D. y = 5x 2 x y

3 7. If a line passes through the two points below, the equation of the line is A. y = 2x + 5 B. y = 2x 5 C. y = 5x 2 D. y = 5x 2 8. The graph shows the relationship between hours worked h and Mr. Tom s Construction Co. s total bill, b, when materials cost $100. Which of the following is the equation represented by the graph? Construction Costs Total Bill ($) Number of Hours A. h = 50b B. h = 100b + 50 C. b = 100h + 50 D. b = 50h Which equation represents the line that passes through the point (1,5) and has slope of 2? A. y = 2x + 7 B. y = 2x + 11 C. y = 2x 9 D. y = 2x + 3 3

4 Learning Target #4: I can graph proportional relationships. A 10. In Ms. Sarah s science class, the students heated a beaker of water on a burner. When the experiment began, the temperature of the water was 20. After 8 minutes, the temperature was 60. Sixteen minutes after the start of the experiment, the temperature was 100 and remained at 100 for the next 8 minutes. Which graph shows the change in temperature of the water in the beaker, y, over time in minutes, x? 11. Ms. Jessica pays $0.50 per hour to park her car at the museum. Which graph correctly shows the relationship between the hours, x, Ms. Jessica s car is parked and the total parking cost in dollars, y? 4

5 Learning Target #5 I can compare two different proportional relationships represented in different ways. A 12. A scientist measured the growth rate of a bamboo plant at 6 inches in 12 hours. She compared the growth rate of the bamboo plant to the growth rate of three other plants. The growth rate of bull kelp is given by the equation y = x, where x represents hours and y represents inches. The growth rate for a kudzu is shown in the graph below. Giant Sea Kelp Kudzu Time (hours) Growth (inches) Growth (inches) Time (hours) The growth rate for a giant sea kelp is shown in the table above. What is the order of the growth rate of each plant from least to greatest? A. Bamboo Plant < Bull kelp < Giant Sea Kelp < Kudzu B. Bull Kelp < Bamboo Plant < Kudzu < Giant Sea Kelp C. Giant Sea Kelp < Kudzu < Bamboo Plant < Bull Kelp D. Bull Kelp < Kudzu < Bamboo Plant < Giant Sea Kelp Learning Target #2: I can use square root and cube root symbols to represent solutions to equations. 13. Solve: x =. A. x = B. x = C. x = D. x = 5

6 Learning Target #3: I can evaluate square roots of small perfect squares and cube roots of small perfect cubes. 14. The area of a square vegetable garden is about 121 ft 2. What is the perimeter of the vegetable garden? (Area=s ) (Perimeter=4s) A. 11 ft B. 22 ft C. 33 ft D. 44 ft A Learning Target #5: I can perform operations with number expressed in scientific notation and express how many times as much a number in scientific notation is than another number. 15. The Horseshoe Nebula is about light years away from Earth. One light year is equal to approximately " miles. What is the approximate distance, in miles, between Earth and the Horseshoe Nebula? Express your answer in scientific notation. A " miles B miles C " miles D " miles 6