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INFORMATION ABOUT ALGEBRA I FORMULA SHEET Formulas that you may need to solve questions on this exam are found below. You may use calculator , or the number 3.14 as an approximation of it. Arithmetic Properties A = /W Additive Inverse: a + ( a) = 0 Multiplicative Inverse: a ' 1 =1 Commutative Property: a + b = b + a a b =ba V = /wh Associative Property: (a + b) + c = a + (b + c) (a b) c = a (b c) Identity Property: a + 0 = a a . 1 = a Linear Equations _ Y2 - Y1 Distributive Property: a (b + c) = a b+ a c Slope: m= X 2 - X 1 Multiplicative Property of Zero: a 0 =0 Point-Slope Formula: (y - y1) = m(x- x;) Additive Property of Equality: Slope-Intercept Formula: y= mx + b If a = b, then a + c= b+ c Standard Equation of a Line: Ax + By = C Multiplicative Property of Equality: If a = b, then a c = b c0 points The table below shows a pattern in the cost of online data storage for different numbers of terabytes of data stored. Online Data Storage Number of Cost in Terabytes (t) Dollars (c) 3 240 4 315 5 390 6 465 The pattern continues. Which equation describes the pattern in the cost of online data storage? A. C = 31 + 225 B. c = 5t + 225 C. c = 50t + 90 D. C = 75t + 15 O A O B O c OD2 Which grigit mpresents a trctext A C D o O B OC OD3 The set of ordered pairs below is a relation. {(1, 5). (0, 2), (-1, -1), (2, -4)) What is the range of the relation? A. (-4, -1, 2, 5} B. {-2, -1, 0, 1} C. {all real numbers from -4 through 5} D. {all real numbers from -2 through 1} O C O B O A O D4 A function of x is graphed on the coordinate plane below. 6 4 NO -6-4-2 2 4 6 X - 2 -6 O Which equation describes the function? A. y = =X-4 col B. y = x 0 1 2 3 4 5 6 7 8 9 10 Age of Tree (years) Based on the scatter plot, which equation represents the line of best fit for the cost of the orange trees? A. y = 11.8x B. y = 11.8x + 29.2 C. y = 15.7x D. y = 15.7x + 40.0 O D B O A O c9 1 point A teacher measures the time it takes each student in a class to complete a puzzle. The first quartile value of the teacher's data is 4 minutes. The third quartile value is 6 minutes. Which statement must be true? A. About 25% of the students completed the puzzle in 4 minutes or less. B. About 50% of the students completed the puzzle in 6 minutes or more. C. Exactly 25% of the students completed the puzzle in exactly 4 minutes. D. Exactly 50% of the students completed the puzzle in 5 minutes or less. O D O C O B O A10 1 point The bar graph below shows the average number of minutes Frank spends each week participating in four activities. Frank's Weekly Activities 250 225 200 175 150 Number of Minutes 125 100 75 50 25 gaming playing reading social online sports networking Activity Based on the information shown in the bar graph, which value is most likely the difference between the number of minutes Frank will spend reading the next 4 weeks and the number of minutes Frank will spend gaming online the next 4 weeks? A. 56 B. 168 C. 224 D. 295 B OD O A O c11 1 point The box-and-whisker plot below represents the prices of all the cars for sale at a dealership. Car Prices 6 8 10 12 14 16 18 20 22 24 26 Price (thousands of dollars) Based on the box-and-whisker plot, which statement about the prices of the cars is most likely true? A. One-half of the cars are priced at $12,000. B. All of the cars are priced no lower than $10,000. C. One-half of the cars are priced between $14,000 and $25,000. D. One-fourth of the cars are priced between $12,000 and $14,000. O C O B O D O A OFRQ1 Continued. Please refer to the previous page for task explanation. B. Write the equation of the line passing through points J and K. Show or explain all your work. Haight finaltest. Points L and M are added to the coordinate plane. The slope of JK is equal to the slope of LM. C. Describe two ways the lines could be related