Review for the Final Exam MAT 0024 College Prep Algebra Class

Transcription

1 Review for the Final Eam Name MAT 00 College Prep Algebra Class Chapter 1 1) Simplify: 6 ( ) + ( ) ) Simplify: 8 + ( ) ) Simplify: 7 + ( 1) ) Simplify: () + 1 ) Simplify: + + ( ) ( ) ) Simplify: ( ) ( ) ( 1) 7) Simplify: ) Simplify: + 9) Evaluate the epression + y given that = and y = ) Given that = and y =, evaluate the epression + y + y 11) Evaluate the epression y y for = and y =

2 MAT 00 College Prep Algebra Review for the Final Eam page of 11 1) Simplify: ) Simplify: + ( ) ) Simplify: ( 1) ( 6) ) Simplify: + ( + 1) 16) Simplify: ( ) Chapter 17) Solve: = 7 18) Solve: 8 = = = 10 = = 10 19) Solve: ( ) + 1 = 11 0) Solve: ( ) ( ) 1 = 1 = 7 = 6 = = 1) Solve: + = + 8 ) Solve: = 1 = ) Solve: = ( 1) = = = 1 1 = = All Real Numbers No Solution

3 MAT 00 College Prep Algebra Review for the Final Eam page of 11 ) Solve: 1 = ( ) ) Solve: = = 1 = = = 1 6) Solve: = 1 7) Solve: + 1 = = 18 = 6 = = 1 8) Solve for L : P = L + W L P = W L P = L = P W W L = P w 9) Solve for T : D = R T 0) Solve for y : y = 6 y = + 6 y + 6 = y + 6 = y = + 6 1) Solve the inequality : 7 ) Solve the inequality : > 6 ) Solve : ( + ) < < > < < ) Solve : + 1

4 MAT 00 College Prep Algebra Review for the Final Eam page of 11 ) Translate into an algebraic epression: Four less than a number. 6) Translate: Si more than twice a number is nine. 7) Translate: times the sum of a number and is 1 more than the number. + = + 1 ( + ) = + 1 ( + ) = = + 1 8) The second side a triangle is inches longer than the first side. The third side of the triangle is inches longer than the second side. If the perimeter of the triangle is 101 inches, find the length of the third side of the triangle. 1 0 inches inches inches 7 inches 9) The length of a rectangle is twice a long as its width. If the perimeter of the rectangle is feet, find the length. 0) A bicycle path is miles long. A man walks from one end at the rate of mph. At the same time, a friend bicycles from the other end, traveling at 1 mph. When will they meet? 1 hour 1 hour 1 hour 1 hour 1) Suppose that two angles are supplementary angles. One of the angles has a measure of 0. Find the measure of the other angle. Chapter ) In which quadrant does the graph of (, ) lie? ) Find the -intercept of the graph of + y = 8 (, 0) (0, ) (8, 0) (6, ) ) Find the y-intercept of the graph of y = + (0, ) (1, ),0 (0, )

5 MAT 00 College Prep Algebra Review for the Final Eam page of 11 ) Find the graph that best matches the linear equation y = 6) Find the graph that best matches the linear equation y = 1

6 MAT 00 College Prep Algebra Review for the Final Eam page 6 of 11 Chapter 0 7) Simplify: ( ) ( ) ) Simplify: ( y) ( y ) 9) Simplify: 8 y z 6 yz yz y y y 0) Simplify: ( yz ) 1) Simplify: ( 0 y z )( yz ) 8yz 6 8yz 8y 6 1 z 8z ) Simplify: y y ) Simplify: 1 yz 6 y z z 7 y z 7 y 7 z y yz 7 ) Write 7,000 in scientific notation ) Write in standard form 1,000 1,

7 MAT 00 College Prep Algebra Review for the Final Eam page 7 of 11 6) Subtract: ( ) ( + + 1) 7) Simplify: ( ) ( 7 + 1) ) Simplify: y ( + ) 9) Simplify: y( y + y ) 6 y + y 8 y 6 y + y 8 y 6 6 y + y 8 y 6 6 y + y 8 y 60) Multiply: ( + )( + + 1) 61) Simplify: ( )( 1) ) Simplify: ( 7)( + ) 6) Simplify: ( )( ) ) Simplify: ( + )( ) 6) Simplify: ( + ) ) Simplify: ( 7 )

8 MAT 00 College Prep Algebra Review for the Final Eam page 8 of 11 67) Simplify: ) Simplify: 9 y 1 y y 9 y y y 1 y 6 y 9 69) Divide: ) Divide: ( 6 7 ) ( 1) Chapter 71) Factor completely: 8 + 7) Factor completely: y + 6y y( y + y) y( + ) y( + y) y( + 6 y ) 7) Factor completely: a + b + a + b 7) Factor completely: y y y + 1 ( y )( y ) ( y ) ( y ) ( y )( y ) ( y )( y )( y 1) 7) Factor completely: 16

9 MAT 00 College Prep Algebra Review for the Final Eam page 9 of 11 76) Factor completely: 9y Does Not Factor ( 7 y) ( + 7 y)( 7 y) ( + y)( 9 y) 77) Factor completely: ) Factor completely: ( ) ( + )( + 1) ( + ) ( + ) 79) Factor completely: ) Factor completely: ) Identify a factor of: ) Identify a factor of: ) Solve: + = 0 = 0, = =, = =, = 0 No Solution 8) Solve: = 0 8) Solve: + 1 = 8 = 6, = 8 = 16, = =, = 16 = 1, = 8

10 MAT 00 College Prep Algebra Review for the Final Eam page 10 of 11 86) Solve: = 0 87) Solve: 8 = 1 =, = 1 =, = = 1, = = 1, = Chapter 6 88) Solve the proportion: = 89) Solve: 1 = + = 11 = 7 = = 11 90) Identify the proportion listed below that solves this problem: Suppose that a welder can build tool boes in 8 hours. How many tool boes can the welder build in a 0 hour work week? = = 8 = = 8 91) Identify the proportion listed below that solves this problem: A tree casts a shadow 18 feet long at the same time that a woman feet tall casts a shadow that is feet long. Find the height of the tree. 18 = 18 = = = 9) Simplify:

11 MAT 00 College Prep Algebra Review for the Final Eam page 11 of 11 9) Simplify: ) Multiply: ) Divide: 6 8 y y y ( + 1)( + 8) y + ( 1) 6 6 y ( + 1)( + 8) y ( + 1 ) Chapter 9 96) Simplify: ) Simplify: 8 98) Simplify Completely: 7 y (Assume 0 and y 0) y 8y 6y y 6y y 6y y 99) Simplify: ) Simplify: 98 18