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Algebra5

# Algebra5 - FH’U 1A2 ML 1 a Given the table of values...

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Unformatted text preview: FH’U/ 1A2 ML 1. a) Given the table of values below, evaluate the given ﬁmction for the given input values. i) f(3) = ii) f(16) = iii) f(2) = b) Write an equation for the line passing through (1,2) and (4,11). c) Given the following ﬁJnction y : —4x+ 7 . Complete the following statements: (i) m: (ii) b = (iii) x—intercept = (iv) y—intercept = 2. Use the order of operations to simplify the following expression. a) 28+(2—43) b) ~(4mm; 3. Mary sells cars. Each week she is paid a ﬂat rate of \$225 plus \$85 for each car she sells. a) Write an equation for Mary’s weekly pay. b) Create a graph ofthe function with two points labeled. 4. a) Simplify the following expression. 3(2x — y) — (5x + 6y) b) Match each equation with the algebraic property it demonstrates. __ Commutative property of addition a. (4 + 6) + 7 = 4 + (6 + 7) _ Commutative property of multiplication b. (3 — ])+2 = l W Associative property of multiplication c. —2(x + y) = -2x — 2y dip+q=q+p Distributive property e. (9-8) = 5 + 2 ~ 6 r 5L(6Lﬂ)=:(5u6)u7 Associative property of addition g. st = ts 5. State whether the following statements are true (T) or false (F) and give an example if it’s false The product oftwo linear functions is a linear function. The sum oftwo linear functions is a linear function The product ofa linear function and a constant is a linear function. 6. Solve the following inequalities. a) ll—le26 b) lx—3l<2 7. Given the following CBR graph, explain how this graph was generated. 8. Use the quadratic formula to find the zeros ofthe following function: f(x):3x2+x~4 9. Given the absolute value graph below, answer the following questions: lg. IIIII in q a) Identify the following values: 0) 3: (ii) h= (iii) k= b) Write the function for the graph in standard form. 10. State whether each ofthe following systems of equations has one solution, no solution, or inﬁnitely many solutions. Explain why for each one 2x—3y:l a) 4x+2y23 3x+5 :7 b) y 6x+lOy=4 .5x—4y:3 0) 2x—16y212 1 1. An arrow is shot vertically into the air from the ground. The height ofthe arrow after t seconds is given by 5(1) = —4.9[2 + 29.41 a) Complete the square and write the function in standard form, b) When will the arrow reach its maximum height? Explain how you know this. c) Sketch the graph ofthe function including at least three points. Make sure to label your axes and identify the scale for each axis. Only include the parts ofthe graph that make sense for this problem. a 12. A drama department production sold tickets at \$6 for general admission, and \$4 for SU students, For one night ofthe show, the total amount collected was \$2874, and 525 tickets were sold. How many of each ticket were sold? 13. Raj needs to rent a moving van. Max’s Movers charges a ﬂat rate of\$l4 plus \$20 per mile. Rick’s Rentals charges a ﬂat rate of \$35. a) Write an equation for the cost to rent from Max’s Movers. b) Write an equation for the cost to rent from Rick’s Rentals. 0) IfRaj is moving 100 miles away, which rental company should he use? 14. a) State whether the following statements are True or False. The amount of homework is inversely proportional to the number of courses taken. The time needed to clean a house varies directly as the size ofthe house increases. b) Ifx varies inversely with y, ﬁnd x when y = 25 and k I 5. c) Ifx varies directly with y, ﬁnd X when y : l6 and k I 4. 15. Simplify the following expressions. 3) (-7)2 b) —52 (1) (251553)“ e) 42x6x7x2 ...
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