Woodland Communit College: Math Practice Test Elementar Algebra Math Test The following problems are recommended practice problems for the elementar algebra section of the placement test. Some of the problems ma or ma not be similar to the problems on the actual test. If ou struggle to complete an problems, we suggest that ou review those topics before taking the test. Perform the indicated operations 1. ( 10 6 ) ( 4 8) + 1. ( 6) ( 4) ( 4) (6) + ( 4 + ) 4. 8 + 4 6. ( ). ( 4 + ) + ( 6 + 1) ( + + 7) 6. 7. 8. ( + ) ( 4) 10 ( + ) 7 ( 6 + ) ( 11 + ) 8 + from 4 4 + from the sum of 7 and 9 + 9. Subtract 10. Subtract a when a = andb =. when = and =. ( ) when = and = 4 7 (b) = (4 ) ( ) = 6 ( + 8 1 (d) = + 4 (e) (8 ) = (4 + 4) 4 = 6 4ab 7c = F 9C = for F. 11. Evaluate the epression b + 4ab + 1 1. Evaluate the epression + 7 1. Evaluate the epression 14. Solve each equation. (a) (4 ) 4(4 ) = (c) ) 1. Solve for. 16. Solve for b. 17. Solve 160 18. 8% of the students in a math class are male. There are 0 students in the class. How man students are male? 19. 7 is what percent of 0? 0. Three times a number minus 6 is equal to two times a number plus 8. Find the number. 1. A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 0 feet more than the length of the shortest side. Find the dimensions if the perimeter is 10 feet.. Solve + 7
. Solve < 0 + < 0 and < 4. Solve 4. Solve 8 6. Solve + 6 < 0 or 4 > 6 7. Solve ( 4) < ( ) 8. A shop advertised a % off sale. If a coat originall sold for $6. Find the decrease in price and the sale price. 180 9. Two angles are supplementar if their sum is. The larger angle measures three more than twice the measure of a smaller angle. Find the measures of each angle. 0. A 1 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is one inch more than four times the length of the first piece. Find the length of the each piece. 1. Part of the proceeds from a garage sale amounted to $80 in $ and $10 denominations. If there were 0 more $ bills than $10 bills, find the number of each denomination.. How man cubic centimeters of % antibiotic solution should be added to 10 cubic centimeters of 60% antibiotic solution in order to get a 0% antibiotic solution?. Find last ear s salar if after a % pa raise, this ear s salar is $1,90. 4. Solve 8 7 = 9. Solve 6 + 9 4 = 6. Solve 9 + 6 + 1 = 7. Solve + 4 = 6 8. Find the -intercept and -intercept of = 10. Then graph the equation.
9. Find the slope and -intercept of the + = 6. Then graph the equation. 40. Find the slope of the line passes through (-1, ) and (, -4). 41. Find the equation of the line passes through (-1, ) and (-, -). Write our answer in standard form. 4. Find the equation of a line passes through (, -6) with slope. Write the equation in slope intercept form. 4. Graph and find the slope of the line. (a) = (b) = 44. Find the equation of a line perpendicular to the line = and passing through (8,). 4. Find the equation of a line parallel to the line = and passing through (8,). 6 + 4 = 46. Determine whether pair of lines is parallel, perpendicular or neither. + 4 = 8 47. If f ( ) = + 4. Find f ( ) and f (1). 48. Which of the following set of ordered pairs does not represent the function? Circle the answer. (a) { (b) ( 1,1),(,),(, ),(0,0)} {( 11,1),( 1, ),(0,0),(, ) } (c) {( 1,0),(,6),(,0),(,) } (d) {( 1,),(,),(1,6),(,9) } 49. Find the slope of a line perpendicular to the line described b + 4 =.
0. Find the equation of the function passing through the point (, -) and perpendicular to. Write our answer in function notation. 8 = 6 1. Find the equation of the function passing through the point (-, -9) and parallel to + = 8. Write our answer in function notation.. Solve the sstem of equation b an correct method.. Solve the sstem of equation b an correct method. 4 = 7 7 + = + = 49 = 90 4. Two angles are complementar if the sum of their measures is Find the measures of two complementar angles if one angle is twent nine times the other angle.. Jen has been pricing Speed Pass train fares for a group trip to New York. Three adults and four children must pa $117. Two adult and three children must pa $8. Find the price of the adult s ticket and the price of a child s ticket. 6. An office suppl store sells 7 writing tablets and 4 pens for $6.40. Also, tablets and 19 pens cost $.40 find the price of each pen and tablet. 7. Graph the solution of the following sstem of linear inequalities. 6 < 8. Graph the solution of the following inequalit > 6. 9. Multipl and simplif. (a) 9 6) (b) + ( 8 8 (c) ( )(9 ) + (d) ( + 1)( + )
(e) ( a + )( a 4a + ) (f) ( +1) 60. Simplif each epression. 1 (a) 4 ( 4 ) + 4 (b) (e) 4 ( ( ) z 4 ) z ( ) 1 (f) 4 ( ) 6 6 7 9 (c) ( 6 )(9 ) 4 (d) ( a b )(7ab ) (g) 7 6 ( ) (h) 8 61. Simplif each of the following epressions. + 4 ( 4) 0 0 0 (a) (b) (c ) (d) (g) 0 (m n )(n n) (h) 6. Write 0.00000167 in scientific notation. 6. Write 90,000 in scientific notation..197 10 7 ( ) (e) 4 + (f) 64. Write in standard form. 6 4.1 10 8 10 and write the result in scientific notation. 6. Evaluate ( )( ) 66. Evaluate 10 10 67. Divide and simplif. (a) 7 4 + 4 6 8 and write the result in scientific notation. (b) 6 + 1 6 ( ) 4 ( z ) 1 (c) 8 + 49 + 6 + 6 (d) 4 + 49 7 8 68. Factor completel. (a) 8 0 + 0 (b) 4 + 7 8 (c) 6 7 (d) 4 0 96 (e) 7 6 1 (f) 4 40 + 96 (g) 18 + 9 + (h) 4 + 6 (i) 6 (j) 4 81 (k) 10 + 80 ( l ) 8 7 69. Solve the following equations. (a) 4 = 0 (b) = (c) ( ) = 4 (d) ( )( + 4) = 8 (e) 6 + = 4 (f) 0 = 0
70. The length of a rectangle is 18 inches less than five times its width. Its area is square inches. Find the dimensions of the rectangle. 71. A diver jumps from a diving board that is 144 feet above the water. The height h (in feet) of the diver is modeled b the position equation h = 6t + 144. Where t is time measured in seconds. How long will it take for the diver to reach the water? 7. A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 16 feet. 1 1. o r 8 8. 118. 4.. 1 4 6. 19 7. 1 1 10 8. 9. 4 6 10. 7 11. 19 1. 16 1 1. 6 4 Elementar Algebra Answer Ke 14. a. + 6 1. = 7 c + 16. b= 4a 160 + 9C 17. F= 18. 19 19. 10% 0. 14 1. 7, 144, 9.. 4< b. c. d. 1, 4 11 e. 4
17 4. 9. <<11 6. 7. 8. 9. 0. o 9, 11, 4, 9 1. $ and $10 1. 60. 1,000 1 4., 4 9 7., 9 9 6. No solution 7., 6 11 o 8. X intercept (,0), intercept (0, ) 9. m=, intercept (0,)
40. 41. 7 4. = 4. a) = ; slope = 0 b) = ; Slope = undefined 44. =8 4. =8 46. Perpendicular 47. 48. d and c 49. m= 0.
1.. (1, 1). (1, ) 4.. 19 and 1 6. 1 table $0.80, 1 pen $0.0 7. 8. 9. a., b. c. d. 64 e. f. 4 4 z 60. a., b. c. d. e. f. 10 16 16 4 18 g. 1 11 h. 8 8 9
1 z 61. a., b., c. d. 9 e. f. g. 4 64 1 9 h. m 9 6. 1.67 10 6..9 10 64. 0.000000197 6. 1.68 10 66. 10 4 9 67. A. b. c. 8 1 d. 7 1 6 7 68. a. 4 b. 7 c. 9 d. 4 8 e. 1 f. 4 6 4 g. 9 1 h. i. 4 4 j. 9 k. 10 4 l. 4 6 9 1 1 69. a., 0, b.,7 c., d.,0 e. 4,0, f., 70. wid th =, length = 7 71. t = sec 7. 0 ft. n