Name: ____________________________________ 1. Which equation does not represent a linear function? 1. y = x – 5 4. In the graph shown below, ΔA′B′C′ is the image produced by a dilation of the pre-image ΔABC. 2. y = x 3. y = x – 3 4. y = x 2 – 1 2. Consider the two linear functions below: What is true about the rate of change of Function 1 and Function 2? 1. The rate of change of both functions is positive. 2. The rate of change of both functions is negative. 3. The rate of change of Function 1 is greater than the rate of change of Function 2. 4. The rate of change of Function 1 is less than the rate of change of Function 2. 3. What is the slope of the graph of the line y = 2x -3? 1. 1 3. -3 2. 2 4. 2x What scale factor was used? 1. 2. 2 3. −2 4. − 5. Identify the nonlinear functions. 1. 2. 3. 4. Function 1 and Function 2 Function 2 and Function 3 Function 1 and Function 3 Function 1, Function 2, and Function 3 6. If x and y are defined as indicated by the accompanying table, which equation correctly represents the relationship between x and y? 9. How do you write 105 in standard form? Answer: 10. Alpha Centauri is the nearest star to our Sun. It is 4.3 light years away or about 25 trillion miles. Which of the following expresses 25 trillion miles in scientific notation? 1. 2. 3. 4. y = x + 2 y = 2x + 2 y = 2x + 3 y = 2x - 3 7. The table of ordered pairs represents a function. Identify the function rule for the following table: 1. 2. 3. 4. 2.5 × 1012 2.5 × 1013 2.5 × 1016 2.5 × 1017 11. To finish a home improvement project, Scott needs to rent a truck. The equation y = 19.95 + 20x represents the total cost, y, of renting a truck from Company A for x hours. The table below shows the cost for renting a truck from Company B for various lengths of time. Time (hours) 1. y = 2x + 1 3. y = 5x + 5 2. y = 10x - 5 4. y = 5x - 5 8. The cube shown below has a volume of 729 cubic centimeters. What is the length of one side, s? [Hint: the formula for the volume, V, of a cube is V = s3.] 1. 243 centimeters 3. 72 centimeters 2. 81 centimeters 4. 9 centimeters 1 3 5 7 12 Total Cost $36.00 $71.00 $141.00 $228.50 $106.00 Which statement accurately describes the per hour charges for each company? 1. Company B charges $2.45 less per hour than Company A. 2. Company B charges $2.50 less per hour than Company A. 3. Company B charges $2.45 more per hour than Company A. 4. Company B charges $2.50 more per hour than Company A. 12. Two of the sides of a rectangle have a length of 3 units. The points (-1, 2) and (6, 2) are adjacent vertices of a rectangle. To the nearest tenth, what is the length of a diagonal of the rectangle? 1. 3.2 units 3. 6.3 units 2. 3.8 units 4. 7.6 units 13. If the size of a molecule is 6.02 × 10-23 units, and we magnify it one million times, what is the size of the image? 1. 2. 3. 4. 15. Use the symbol <, =, > to make the statement true. 106 107 16. Three of the four options below represent the same linear function and one does not. I. The output is the product of the input and five increased by two. II. 6.02 × 10-18 units 6.02 × 10-17 units 60.2 × 10-17 units 6.02 × 10-19units 14. Fill in the table for the linear function f(x) = 2x − 1. x f(x) −2 −5 −1 −3 0 −1 1 3 3 III. y + 5x = 2 IV. x y 0 2 1 7 2 12 3 17 Which one does not belong? 1. I 3. III 2. II 4. IV 17. In the year 2000, the United States had about 100,300,000 people registered to use cellular phones. How would this number of people be written in scientific notation? 1. 2. 3. 4. 1.003 × 108 1.003 × 107 1.003 × 106 1.003 × 105 18. Ronaldo built a skateboard ramp that rises 2 vertical feet for every 3 horizontal feet. Jackie built a skateboard ramp using the equation y = 1.5x that represents y, vertical feet and x, horizontal feet. Who built the steeper ramp? 1. Ronaldo 2. Jackie 3. Both ramps have the same steepness. 4. It cannot be determined. 22. In ΔABC, 83 centimeters. and the perimeter is equal to What is the length of ? 19. What is the product of all integers between and ? Answer: The product is . 20. What is the name of a figure after a transformation? 1. image 3. output 2. origin 4. inverse 21. Which function has a rate of change that is the same as the rate of change of the function graphed below? Answer: The length of centimeters is centimeters. 23. If ΔGHJ is similar to ΔLKM, side corresponds to which side? 1. 2. 3. 1. 2. 3. 4. 9x + 12y = 3 4y – 3x = -4 24x – 18y = 4 12y + 16x = 15 Answer Key for spiral 8 1. 4 9. 100000 17. 1 2. 1 10. 2 18. 2 3. 2 11. 2 19. 720 4. 3 12. 4 20. 1 5. 4 13. 2 21. 1 6. 4 14. 1, 2, 5 22. 31 7. 2 15. < 23. 1 8. 4 16. 3
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