Name: Ms. Logan Review 6 Class: Date:. The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the thunder divided by 5. Suppose you are 7 miles from a lightning strike. Write and solve an equation to find how many seconds there would be between the flash and thunder. (Circle the correct answer.) 5 a) d t =, so t is about 0.3 seconds b) d t =, so t is about 3.4 seconds 5 c) t 5 = d, so t is about 22 seconds d) t = 5 d, so t is about 85 seconds 2. Use the diagram to tell whether the angles MIB and BIH are complementary, supplementary, or neither. Explain. S H B 30º 60º I 90º M 30º P
3. Point K below is reflected over the y-axis. How many units are between point K and its reflection? y 5 4 3 2 5 4 3 2 2 3 4 5 x 2 3 K 4 5 (Circle the correct answer.) a) 3 b) 6 c) 4 d) 8 4. Simplify the expression: 8 x x 9. Express your answer using a positive exponent. a) x 27 b) x c) x 27 d) 27 x 2
5. The three different linear functions below are represented in three different ways, as shown. Which function has the greatest rate of change? Does any pair of functions have the same rate of change? Justify your answer. 3
6. Kimi and Jordan are each working during the summer to earn money in addition to their weekly allowance, and they are saving all their money. Kimi earns $9 an hour at her job, and her allowance is $8 per week. Jordan earns $7.50 an hour, and his allowance is $6 per week. a. Complete the two tables shown below. Number of hours worked in a week, h 0 2 3 4 5 6 7 Kimi's weekly total savings, K Number of hours worked in a week, h 0 2 3 4 5 6 7 Jordan's weekly total savings, J b. Write an equation that can be used to calculate the total of Kimi's allowance and job earnings at the end of one week given the number of hours she works. c. Write an equation that can be used to calculate the total of Jordan's allowance and job earnings at the end of one week given the number of hours worked. y d. Sketch the graphs of your two equations on one pair of axes. 00 90 80 70 e. Jordan wonders who will save more money in a week if they both work the same number of hours. Write an answer for him. 60 50 40 30 20 0 2 3 4 5 6 7 8 9 0 2 3 4 5 x 4
7. The amount of money in both Sasha s and Natalia s bank account can be represented by a linear function. Sasha started with $70, and after 0 weeks, she has $290. The graph shows the amount of money in Natalia s account. Which statement is correct? a) The rate of change of Natalia s account balance is greater because 290 70 greater than. 0 0 b) The rate of change of Natalia s account balance is greater because 0 0 greater than. 290 70 c) The rate of change of Sasha s account balance is greater because 290 90 than. 0 0 d) The rate of change of Sasha s account balance is greater because 0 0 than. 290 90 290 90 is 0 0 0 0 is 290 90 290 70 is greater 0 0 0 0 is greater 290 70 5
8. A plant cell is 0.0000267 meter wide. How is this number written in scientific notation? a) c).267.267 4 0 b) 6 0 d).267 0.267 0 5 8 9. Where do the lines modeled by the equations 7 3 y = x + and y = x + intersect? 8 4 4 2 a. ( 4,2) b. ( 2,2) c. ( 2, 2) d. ( 4, 2) 0. Look at figure PQRS below. If figure PQRS is dilated using a scale factor of 0.5 with the center of dilation at (0, 0), what are the coordinates of the points of the image P ' Q' R' S'? a. P '(.5,.5 ), Q' ( 2.5,.5 ), R' ( 2.5,3.5 ), S' ( 0.5,3.5 ) b. P '( 2.5,2.5 ), Q' ( 6.5,4.5 ), R' ( 6.5,8.5 ), S' ( 2.5,8.5 ) c. P '( 4,4 ), Q' ( 2,8 ), R' ( 2,6 ), S' ( 4,6) d. P' (, ), Q' ( 3,2 ), R' ( 3,4 ), S' (,4) 6
. Jeffrey and Fumi walk at different speeds. Fumi s walking speed can be represented by the equation y = 85x, where x is the time in minutes and y is the distance in meters. The distance Jeffrey walked over time is shown in the graph below. Which statement is true? a. Jeffrey walks 5 meters per minute faster than Fumi. b. Jeffrey walks 0 meters per minute faster than Fumi. c. Jeffrey walks 5 meters per minute slower than Fumi. d. Jeffrey walks 0 meters per minute slower than Fumi. 2. When the points in a scatter plot are clustered closely around a line of best fit, what must this imply about the correlation between the two variables? a. There is a strong correlation. b. There is a weak correlation. c. There is a negative correlation. d. There is a positive correlation. 7
3. Which equation has an infinite number of solutions? x b. ( 3x 2) = x 3 a. 8 + 8 = 0 4 4 c. 2 x + 8 = 2( x + 8) d. ( 6x 0) = 3x 5 2 4. The figure below shows several rays that share a common endpoint. What is the measure of QOR? a) 6 b) 59 c) 3 d) 26 8
5. The table below lists the lengths of vines of different amounts of time after planting. The line of best fit for the data is y = 0.48x 2. 97. What is the meaning of the slope of the equation? a. For every decrease in number of days by, the vine length decreases by centimeter. b. For every decrease in number of days by, the vine length decreases by 2.97 centimeter. c. For every increase in number of days by, the vine length increases by centimeter. d. For every increase in number of days by, the vine length increases by 0.48 centimeter. 9
6. Ingrid types faster than 50 words per minute. Which graph represents the number of words Ingrid can type over time? B D 0
7. Oven Fresh Bakery packages its chocolate cake in this container. Part A What is the volume of the container? Show your work. Answer cubic inches Part B The bakery ordered new containers to hold their lemon cake. The container is 2 inches shorter and has a radius inch less than their chocolate cake containers. What is the volume of the new container? Show your work. Answer cubic inches Part C How much greater is the volume, in cubic inches, of the original container than the volume of the new container? Show your work. Answer cubic inches
8. Amanda found the equation 0 x + 5y = 20 in the Linear Equations chapter of her math book. Part A What is an equation that can be written with Amanda s equation to form a pair of linear equations such that the system of equations has exactly one solution? Show your work. Equation Part B What is an equation that can be written with Amanda s equation to form a pair of linear equations such that the system of equations has infinitely many solutions? Show your work. Equation 2