[B] 2. Which of these numbers is a solution for 12 x 7? [A] 5 [B] 1 [C] 2 [D] 3
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1 . Which graph shows the solution of + 7? Which of these numbers is a solution for 7? 5. Which graph shows the solution to + <? Solve: 4 { 8} none of these { 8} { } 5. Solve the inequalit. 7 > 4.9 <. >.9 > 4. < Solve: b 4b+ 7 b 6 b 0 b =6 b 0 7. Twice the difference of a number and 5 is at most 50. Find all possible values for the number The perimeter of a square is to be between and 56 feet, inclusivel. Find all possible values for the length of its sides < < and Which is equivalent to? Simplif: 4 z z 6 z 8 z 8 0 [E] z 6 4 z
2 . Which is equivalent to? Simplif:. F I HG 4 K J c h Simplif the product: ( 4cd ) ( cd) Simplif: 4 64cd 6 7 4cd cd 6 5 4cd [E] Simplif the polnomial. 9f 5f f + f 7 f f + 7 f 8f + 9 f f f 8 f What is the degree of the polnomial + 6+? Evaluate + + when = 4 and = Add: ( 4) + ( + )
3 Multipl:. 4( 4 ) ( 4 )( 5 ). ( + )( +) Factor: ( ) 5 ( 5 6 ) ( 5 0 ) 55 ( 6 ) ( + + 9) ( + + ) ( + )( + ) ( + + ) 6. Which of the following binomials is a difference of squares? Factor: 6 ( + 6)( + 6 ) ( + 6)( 4 ) ( + 6)( 6 ) ( 6)( 6) 8. Factor the difference of two squares ( + ) 7 ( + )( ) 7 ( ) 7 ( ) 9. Factor: ( )( 5 ) ( + )( 5 ) ( )( 5+ ) ( + )( 5+ )
4 0. Which of the following epressions could help in factoring b grouping? Factor: ( +)( ) 4 ( + )( ) 4 (. 5k + 0k + 4k Solve: ) ( 4 + )( ) k( 5 ) k( 5+ )( 5 ) k( 5+ ) k( 5 4)( + ). 6 ( + 6) = 0 = 0 and = 6 = and = 6 6 = 0 and = 6 = and = = 0 5,, 5 5, 5, 5. The area of a carpet is r + 5r 6 square feet. What is the length and width of the carpet? Write our answer using r. ( r+ 4)( r 9 ) ( r 4)( r 9 ) ( r+ 4)( r+ 9 ) ( r 4)( r+ 9)
5 6. Which of these equations is shown on the graph? = = + = + = 7. Graph: = 6
6 8. What is the equation for this line? = 7 = 7 = 7 = 7 9. Which of these is the graph of =6? Find the slope of the line passing through the points ( 6, 5) and (, 4)
7 4. Determine the slope of the line graphed below. 0 undefined 4. What is the slope of the line given b the equation = + 4? Write an equation of the line that passes through the point (6, ) with slope. = = + 7 = + 7 = 44. Which of the following equations has a graph that is parallel to the graph of 4 = 7? 4 = = = = [E] = Write the standard form of the equation of the line passing through the point (, ) and perpendicular to the line 5 = 4. 5 = = 9 5+ = 5 = 46. Which of the following ordered pairs is a solution to the sstem of equations? + 7 = = 9 ( 6, 6) ( 8, 7) ( 9, 9) (, 5)
8 47. Solve the sstem b substitution. + 4 = 0 = + 8 no solution 4, 6 b g b, 9g F 6, 7 I HG K J 48. The length of a rectangle is 4 centimeters more than 5 times the width. If the perimeter of the rectangle is 56 centimeters, what are the dimensions of the rectangle? length = cm; width = cm length = 4 cm; width = 4 cm length = 4 cm ; width = 4 cm length = 0 cm; width = 8 cm 49. Solve: 4 = 6 + = 9 no solution ( 0, 4) (, 4) 0, 6 F HG I K J 50. Which sstem has infinitel man solutions? = = = = = [E] 4+ = + = = + = = 5. Kimasia and Emil have jobs buing and selling pet lizards. Kimasia sold geckos and 4 iguanas for a profit of $ Emil sold 9 geckos and bought 4 iguanas for a temporar loss of $ Find the price of one gecko and one iguana, using the addition method for solving sstems. gecko $8.00; iguana $7.00 gecko $7.00; iguana $8.00 gecko $5.50; iguana $9.50 gecko $9.50; iguana $ You decide to market our own custom computer software. You must invest $67 in computer hardware and spend $.05 to bu and package each disk. If each program sells for $.50, how man copies must ou sell to break even? 660 copies 40 copies 40 copies 66 copies 5. A plane flies 600 miles with a tail wind in hours. It takes the same plane 4 hours to fl the 600 miles when fling against the wind. What is the plane s speed in still air? 6 mph 00 mph 75 mph 5 mph
9 54. A jar containing onl nickels and dimes contains a total of 68 coins. The value of all the coins in the jar is $4.85. How man dimes are in the jar? Find the intersection of the sets. {,, 4, 6, 8} {6, 7, 8,, } {,, 4, 6, 7, 8,, } {6, 8} none of these 56. Find A B. A = {, 8,,, 8}, B = {6, 8, 8,, } A B = {8, 8} A B = Graph: A B = {, 6, 8,,, 8,, } and 6 < 8 none of these > 7 and Solve: 4 = 6 7, 5, 5, 6, 60. Find the solution set for the equation. 5 = l 6, q RST 7, UVW l, q R ST 7, UVW
10 6. Solve and graph G G. l 7 7 q l q l q l q Which sstem of inequalities describes the graph? > < + + [E] + > +
11 6. Multipl: ( ) ( )( 4) Subtract: ( )( )( + ) 6 + ( )( )( + ) 5 ( )( )( + ) 5 ( )( )( + ) 68. Solve: 6 + = 8 = = or 4 = = or How man gallons of a 80% acid solution must be mied with 60 gallons of a 7% solution to obtain a solution that is 70% acid? gallons.8 gallons none of these gallons
12 Divide: Simplif: + + Find the square root of the epression. 7. z + 4z + 4 z + z b g z + bz + g z z 6 z z 6 z 6z Simplif: az 9az 6 a 6a 54az 6a 77. Rationalize the denominator Multipl the epression and rationalize the denominator Simplif:
13 8. Find the perimeter of the triangle Given the right triangle below, what is the length of the hpotenuse? Round our answer to the nearest tenth. 7 cm 9 cm.0 cm 0.0 cm.4 cm 5.7 cm 8. A 60-m garden hose is stretched diagonall across a ard. If the width of the ard is m, what is the length of the ard, to the nearest tenth? 8 m 55.8 m 8 m 6.9 m 84. If the area of a circle is known, the radius can be found b the formula: r radius of a circle if its area is. Round our answer to the nearest tenth A = π. Find the
14 85. The graph shows the price of a stock over the past four months. If the price increases at the same rate as it did in the four months, which equation can ou use to determine the stock price three months from now? 4 8 Cost ($) Month = = = not given 86. A scientific eperiment required that temperatures be lowered at a stead and gradual rate. The beginning temperature was 6 C. The graph shows the decline in temperature. Which equation can ou use to find the temperature on the sith da? 6 C Da = + 6 = + = + 6 not given
15 87. Graph the parabola: = If = 8 when = 40 and varies directl with, then find when = Find an equation of variation when varies inversel as and = when = 7. = 4 = 7 = 7 = Solve: = , 7 7, Simplif the equation and solve for. Make sure to rationalize the denominator. + 4 = 4 + =, =, =, =, Solve: 9. ( + 7) = 6,,, 0, 9. ( + 8) = 6 4, 6, 4,, 4
16 94. Find the missing term: ( + 6) = Determine the number of solutions of the equation. + = 0 0 Solve: 96. =, 4 R ST UVW RST, UVW RST, UVW R ST, UVW = 4 4,,, none of these 98. The sides of a right triangle are, +, and + 4 units long. Find the side lengths of the triangle b solving for. 5, 6, 9 units, 9, 4 units 5,, 45 units 5,, 9 units 99. A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground t seconds after it is thrown is given b d = 6t 4t+ 4. How long after the rock is thrown is it 400 feet from the ground? A frame shop wants to cut a square hole in a mat 0 in. b 5 in. If each side of the hole is in., which equation represents the remaining area? a = + 0 a = + 5 a = + 0 a = + 50
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