Practice Test 6 Answer Key

Keystone Review Name: Answer Key Practice Test 6 Date: Period: Keystone Exam... Practice Test # 6 Module 1-Multiple Choice B 1) When x = 2 which expression can be completely simplified to 4sqrt(5) ? Α) 2sqrt(5x) = 2sqrt(10) * x C) 5sqrt(2x) = 5sqrt(4) = 5 * 2 = 10x B) 2sqrt(10x) = 2sqrt(20) = 2sqrt(4) * sqrt(5) = 2.2sqrt(5) = 4sqrt(5) D) 8sqrt(5x) = 8sqrt(10) * x B 2) The greatest common factor (GCF) of 2 monomials is 3x ^ 2 * y One of the monomials is 3x ^ 4 * y Which could be the other monomial? ? Alaxy 3x ^ 4 * yand underline 6x^ 2 y^ 3 GCF B) 6x ^ 2 * y ^ 3 D) 18x B 3) The average distance from the Sun to Mercury is 57,909,227 km. The average distance from the Sun to Saturn is 1,426,666,422 km. Light travels at a speed of about 300,000 km per second. Which amount of time is the closest estimate of the difference between the number of minutes it takes light to travel from the Sun to Saturn and the number of minutes it takes light to travel from the Sun to Mercury? A) 50 minutes. Mercury: 1938.31 seconds B) 80 minutes Saturn: 4755.55 geconds C) 110 minutes 342.17; min * 0.3 D) 140 minutes 79.26 min 3 76 79-32=47 minutes 4) Simplify: (3x ^ 2 + 2x - 8) - (- x ^ 2 + 6x + 4) Al 2x ^ 2 + 8x - 4 8) 2x ^ 2 + 8x - 12 C * integrate 4x ^ 2 + 8x - 4 dx D) 4x ^ 2 - 4x - 12 underline 3x ^ 2 + 2x - b + x ^ 2 - 4x - 4 =4x^ 2 -4x-1 underline = A 5) In y-int an experiment, a plant grows 0.05 centimeters per day. The plant had a height of 2 centimeters when the experiment started. Which equation describes the relationship between the number of days (d) the experiment lasts and the height (h), in centimeters, of the plant? A) h = 0.05d + 2 y = mx + b h = 0.05(2) + d h = 2d + 0.05 Xh = 2.05d 1 h = 0.05d + 2 D 6) Juanita used the steps shown below to correctly solve an equation. A step is missing. - 3(c - 6) + 4c = 5(2c + 9) ? - 3e + 18 + 4c = 10c + 45 c + 18 = 10c + 45 c - 27 = 10c - 27 = 9c - 3 = c Which shows the equation that is most likely a missing step and the property that justifies the step? p(1)^ prime prime - 3c - 6 + 4c = 10c + 9 associative property of addition - 8j - 3c + 18 + 4c = 10c + 45 associative property of addition e - 3c - 6 + 4c = 10c + 9 ; distributive property D) - 3c + 18 + 4c = 10c + 45 ; distributive property Sylvia studied a new language. The equation below describes how many words she knew (y) after studying the language for x days. day words 48=5(4)+18 y = 5x + 18 The ordered pair (6, 48) is a solution of the equation. What does the solution represent? Sylvia knew 6 words after 6 days. Sylvia knew 6 words after 48 days. C) Sylvia knew 48 words after 6 days. Sylvia knew 48 words after 48 days. C 20) The graph of a line is shown below. 5 5 10 What is the y-intercept of the line? (0,5) A) - 8/5 B) - 5/8 C) 5 D) 8 D 21) 21) A scatter plot is shown below. y 10 9 8 7 654321 4 (.75,1) and (3,8.25) (8.85 + 1)/(3 - 0.75) = 7.25/2.25 = 3.2 07 1 2 3 4 5 6 7 8 9 10 → X positive slope 27/10 Which equation describes the line of best fit for the scatter plot? y = 0.37x - 4 C) y = 2.7x - 4 y = 0.37x D) y = 2.7x 11 22) The range of the weights, in pounds, of all the goats on a farm is 180. Which statement about the weights of the goats is most likely true? The heaviest goat on the farm weighs 180 pounds. Exactly 50% of the goats on the farm weigh less than 90 pounds Exactly 50% of the goats on the farm weight within 180 pounds of each other. D) There is a goat on the farm that weighs 180 pounds more than another goat on the farm. B 23) The number of cookies sold at a bakery each day last week is listed below. 264 203 318 502 341 173 299 2100=300 The circle graph below represents the types of cookies sold during the entire week. average amount per day: 300 Cookie Sales chocolate chip 120 40% 25% 15% 10% 10% peanut butter 45 oatmeal 120 -45 75 double chocolate sugar Based on the data and the circle graph, how many more chocolate chip cookies than oatmeal cookies will most likely be sold during one day next week? A) 25 C) 125 (8) 75 D) 275