# Review 3. Determine the dimensions, in feet, of his new garden. Show your work. Only an algebraic solution will be accepted.

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1 Name: Ms. Logan Review Class: Date: 1. David currentl has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is feet shorter than twice its width. He decides that the perimeter should be 60 feet. Determine the dimensions, in feet, of his new garden. Show our work. Onl an algebraic solution will be accepted.. In the picture below, lines l and m are parallel. The measure of PAX = 1, and the measure of PBY = 54. What is the measure of APB? Justif our answer. 1

2 . Identif the transformation from the original to the image, and tell whether the two figures are similar or congruent. Original Δ EFG vertices are: E(, 1), F(1, 1), and G(4, 5) Image Δ EʹF ʹG ʹ vertices are: E (, 1), F (1, 1), and G (4, 5) 4. In the diagram below, ΔABC is similar to ΔART. Part A: What is the scale factor from ΔABC to ΔART? Part B: If the slope of AC is, what is the value of for coordinate C? Part C: Using the information from parts A and B, what is the length of RT?

3 5. A circular pond is mapped onto its image b transformation. Describe the transformation. (Circle the correct answer.) a) dilation with center (0, 0) and scale factor -1.5 b) dilation with center (0, 0) and scale factor 1.5 c) dilation with center (8, 4) and scale factor -1.5 d) dilation with center (8, 4) and scale factor Which statement about this sstem of equations is true? 6 + = = 7 (Circle the correct answer.) a. It has no solution. c. (0, 1) is the onl solution. b. (1, 0) is the onl solution. d. It has infinitel man solutions.

4 7. You work for a video streaming compan that has two monthl plans to choose from: Plan 1: A flat rate of \$7 per month plus \$.50 per video viewed Plan : \$4 per video viewed a. What tpe of functions model this situation? Eplain how ou know. b. Define variables that make sense in the contet, and then write an equation with cost as a function of videos viewed, representing each monthl plan. c. How much would videos in a month cost for each plan? 5 videos? d. Compare the two plans and eplain what advice ou would give to a customer tring to decide which plan is best for them, based on their viewing habits. 8. Multipl: 8 5 a a. Write the product as one power. a. 1 a b. 40 a c. a d. Cannot be combined 4

5 9. Which of the following is the fastest unit rate? Justif our choice. (Circle the correct answer.) a. 0 miles per hour b. 700 ards per minute c. 40 feet per second d.,00 feet per minute 10. The temperature in a cit began to decrease at a constant rate once a cold front began to move in The temperature was 49 o F after hours and 9 o F after 6 hours. Suppose is the number of hours since the cold front began to move in, and is the temperature in o F. Which equation models this situation? a. = b. = c. = d. = The planet of Mercur is approimatel 6 10 miles from the sun. The distance 8 between the Sun and Mars is approimatel 10 miles. About how man times farther from the Sun is Mars than Mercur? a. c. 0 b. d. 0 5

6 6 1. A pair of lines intersect at the point (-, 4). Which pair of equations could represent these lines? (Circle the correct answer.) a. = = c. = = b. + = = d. + = = The two triangles shown are similar. Which series of transformations could have been used to transform triangle ABC into the similar triangle A B C? a) a dilation about the origin with a scale factor of 0.5 and a reflection across the -ais b) a dilation about the origin with a scale factor of 0.5 and a reflection across the -ais c) a dilation about the origin with a scale factor of 0.5 and a reflection across the -ais d) a dilation about the origin with a scale factor of 0.5 and a reflection across the -ais

7 1 into a simpler form 14. Melinda transformed the equation = ( ) as shown Which statement is correct? a) Melinda made a mistake; the equation has no solution. b) Melinda did everthing correctl; the equation has no solution. c) Melinda made a mistake; the equation has an infinite number of solutions. d) Melinda did everthing correctl; the equation has an infinite number of solutions. 15. Look at the scatter plot below. Liza used points J and K to draw a line of best fit for the data. Derek used points J and M to draw a line of best fit. Which reason best eplains wh Derek s line is a better model for the data? a) Since point J is close to the other points, Derek s line would also be close. b) Since Derek s line has a positive slope, it can be used as the line of best fit. c) Since point K is a data point, Liza s line can pass through it and still fit the data. d) Since point K is an outlier, Liza s line would be far from most of the other data points. 7

8 16. Aaron graphed the equation = on a coordinate plane, while Jod graphed the equation =. The ordered pair (1, 1) satisfies both equations. Which statement about the ordered pair (1, -1) is correct? a) It shows that Jod did not graph a function. b) It shows that Aaron did not graph a function. c) It satisfies both equations. d) It satisfies neither equation. 17. AD, BE, and CF intersect at point G. What is the value of? a. 10 c. 0 b. 0 d A clindrical water tank near the town librar is 15 meters high and has a circumference of 85 meters. What is the approimate volume, to the nearest whole number, of the water tank? a. 1,75 m c. 8,64 m b.,875 m d. 4,497 m 8

9 9

10 19. In the graph below, time is shown on the -ais and the distance is shown on the -ais. The slope of a segment represents the speed during that interval. Which statement is true? a) The object is moving closer to its starting position most quickl between A and B. b) The object is moving closer to its starting position most quickl between E and F. c) The object is moving farther awa from its starting position most quickl between C and D. d) The object is moving farther awa from its starting position most quickl between D and E. 10

11 0. Benjamin and Lala each deposited a set amount of mone into their savings accounts each month. The graph below shows the total amount Benjamin has in his account after making his deposit each month. The table below represents the total amount Lala has in her account after making her deposit each month. Using as the number of dollars saved and m as the number of months where m is a positive integer, which equation models the account that is growing at the faster rate? a. = m c. = 1, m b. = m d. = 1, m 11

12 1. Mark used a graph to compare the wages from two restaurant jobs. A dishwasher earns \$7.5 per hour, while a waiter earns \$.75 per hour in addition to \$5 per da. Part A To the nearest hour, when will the two jobs earn the same amount? Answer hours Part B Eplain wh our estimate is reasonable. 1

13 . Michael has 5 boes. There are 5 1 kg of apples in each bo. When empt, a bo weighs 5 - kg. Part A What is the total weight of Michael s boes, when empt? Show our work. Answer kg Part B How man kilograms of apples does Michael have in all? Show our work. Answer kg Part C What is the total weight of Michael s boes with the apples in them? Show our work. Answer kg 1

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