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Math 73 Review Test I 1.- Solve for the indicated variable. g r f + = , 4 3 12 (a) px − ty = −hx + b, p (b) (c) px − ty = −hx + b, x (d) A = b + (c − d)e, 2.- Solve the following inequalities, graph the solution, and WSUIN. (a) 4(x + 2) + 2x > 5x − 6 (b) 5x + 9 ≥ 4x + 12 and or 8x − 22 ≤ 4x + 6 10(x − 2) ≤ −7 r e 3.- Solve the following absolute value problems and check the answers. 1 5 (b) |5x − 6| = |5x + 10| (a) + x = 1 12 6 3 3 (c) + x + 12 = 2 5 10 (d) |5x − 6| = |4x − 3| 4.- Solve the following inequalities, graph their solutions and WSUIN. (a) |4x − 3| + 2 ≥ 7 1 1 (b) x − 2 ≤ 3 5 7 (c) x + 1 + 9 ≤ 2 2 5.- Use the following graph to find (a) f (0) g(x) f (x) (b) g(1) x (c) g(4) (b) f (−5) 6.- Using the following graphs, find the solution and WSUIN. (a) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 (b) (c) 7.- Find the equation of the line with the given conditions. (a) Passes through (−2, −4), (6, 4) (b) Perpendicular to −3x + 5y = 15 and with x − intercept = −3 (c) Parallel to 5x − 4y = 20 and goes through (4, 3) (d) Perpendicular to y = 1 and passing through (−2, 3) 8.- Set up a system of equations to solve the following. (a) Nacho has a collection of pens and key-chains. The number of pens is 3 more than twice the number of key-chains. If the total amount of items in his collection is 39. How many of each does he have? (b) Nacho invests $8, 000 in two accounts. The first account pays 5% annually and the second account pays 6%. If at the end of one year he makes $450 in interest, how much did he invest in each account? 9.- Solve the following word problems. (a) A phone call to China cost $0.60 per minute plus a connection fee of $1.40. How much will it cost to make a 50 minutes call to China? (b) A large cheese pizza costs $15. Each additional topping adds $2.20 to the price. What will be the price of the pizza if you add 4 toppings. 10.- Find the equation of the following lines. y y x y x x 11.- For g(x) = 2x + 3 and f (x) = x3 + 2x − 3 find 3 (a) g[f (1)] (b) f [g(2)] (d) g[g(0)] (c) f [f (1)] 12.- Solve the following systems of equations by graphing, elimination, and substitution. (a) (b) −3x + 2y = 2 2x + y = 8 2x + 4y = 6 3x − y = 2 13.- Use the vertical line test to determine if the following are functions or not and find the domain and range. (a) (b) y (c) y x y x x 14. Graph and shade the following linear inequalities. 2 (a) y ≥ − x + 2 5 (b) 5x + 4y ≤ 20 y y x x