Algebra I Final Test Review Sem 2 Ch 4, 5, 8, 9. Simplify each expression Solve each equation or inequality for x.

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1 Simplify each expression. 1) xy 3x 6xy x 3y ) 3x 4y x 5x 9y 3) 4( x 3) 8x 1 4) 5x 3(x 4) 1x 8 Solve each equation or inequality for x. 5) 6x ) ( x 4) 5x 7 7) 5x 3( x 4) 4x 16 8) x 4 3 x 9) 3 ( x 6) 3x 6 10) x

2 11) 6m 9-5m + 3(7m + 7) 1) (n + ) 3n 1 13) -3(6r + 1) + 8r > 9 8r 14) 7(7b + 6) -1 5b Solve for y. Solve for y. 15) x 3y 15 16) 5y 3x 0 Create two equations and then solve the system of equations. 17) After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have?

3 18) Herman and Jacquita are each saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month. Jacquita only has $1,000 but is saving $1300 per month. In how many months will they have the same amount of savings? 19) George bought some CDs at his local store. He paid $15.95 for each CD. Nora bought the same number of CDs from a store online. She paid $13.95 for each CD, but had to pay $8 for shipping. In the end, both George and Nora spent the exact same amount of money buying their CDs! How many CDs did George buy? Solve the system of equations using the Equal Values Method. y x y x 3 0) 1) y x 6 y 5x 4 Factor completely. Factor completely. ) x 7x 15 3) 3x 15x 18

4 Solve for x. Solve for x. 4) 3 x 4 0 3x 4 x 9 x 5) 0 #6-7 Find the x and y intercepts for each table below, then use the coordinates for the x intercepts to find the equation of the parabola. 6) X Y x-intercept(s): Equation of the parabola: y-intercept: 7) X Y x-intercept(s): Equation of the parabola: y-intercept:

5 Graph each linear inequality. 8) 9) Simplify ) ( 3x y )(4x y ) Simplify. 5x y ) z 8 x y z Rewrite using Rational Exponents. Rewrite using Rational Exponents. 3) 5 3 y 33) 4 3 x y 34. Write the equation of the line that passes through the point (-5,3) and has slope of Write the equation of the line that passes through the point (0,3) and 3 has slope of. 4

6 36. Find the slope of the line that passes through the points (-1,3) and (4,10). 37. Find the slope of the line that passes through the points (7, -4) and (,-5). Solve each system of inequalities graphically. 38) y 3x 1 1 y x 7 39) y x 6 y x Solve. x 3 40) Solve. x 1 x 41)

7 4) For the equation y x x 8 do the following: a) Write the equation in factored form. b) Write the coordinates for the x-intercepts. c) Write the equation for the d) Find the coordinates for the line of symmetry. vertex. e) Write the coordinates for the f) Write the coordinates for the y-intercept. y-intercept s sister point. g) Graph the quadratic.

8 Solve the following system using the elimination method. 43) x y 10 3x 4y 4 45) 3x 5y 10 x y 4 Solve the following system using the substitution method. 44) x y 4 3x 4y 8 47) y 3x x y 7 45) Use the distributive property to expand (multiply and simplify) the following: a. ( 3x 4)(5x 4) b. ( x 7)(x 3)

9 46. Factor each completely. Algebra I Final Test Review Sem a.) x x 1 b.) 4x 9 c.) x 9x Solve by factoring. Solve by factoring. a.) 3 x 5x 3 0 b.) x x 1x Solve by the Quadratic Formula. (round to three decimal places) a.) x x 3 0 b.) x 5x 1 49) In a recent survey, eight out of twelve football players recommended Itch-Gone athlete s foot powder. If 168 players were surveyed, how many recommended Itch-Gone athlete s foot powder. 50) A local sub shop decides to sell a party-size sub sandwich that is 100 inches long. If they sell a 6- inch sub sandwich for $.73, how much should they charge for the party sub?

10 51. Evaluate each expression for: x 4, y, z 10 a) xz b) y z x z y c) ( z x) y d) x y x x z 5) Find the distance between the pair of points 10, 5 and 8, 5 53) Find the distance between the pair of points 7, 9 and 7, 8 54). True or False: If false, sketch a counterexample. a) All lines have an x-intercept. b) All lines have an y-intercept. c) All parabolas have x-intercepts. d) All parabolas have a y-intercept.

11 Graph the inequalities 55) 3x 39 56) x 4 8 Use the graph at the right to answer question ) What is the slope of the line? 58) What are the coordinates of the y-intercept? 59) What is the equation of the line in slope-intercept from? Use the graph at the right to answer question 60 60) Write an equation in factored form. Note parabola passes through (-,0), (,0), & (0,-4).

12 Use the graph at the right to answer question 61 61) Write an equation in factored form. Note parabola passes through (-3,0), (1,0), & (0,-6). Simplify each of the following: 6) a 3 a 63) 6a 3 8 1m 64) 3 6m ) 3a x ax 3 66) x 3 y 3 67) x 68) 15x y 3x 69) x 3