Middlesex County College MAT 014 Algebra II Final Exam Review

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1 Middlese County College MAT 0 Algebra II Final Eam Review. Solve: t = 8 No solution 0 t = t = t =. Solve: = ( 8w) ( 8+ w) w = w = 7 7 w = w = 7. Solve: ( ) 99y+ = y + 79y+ 8 No solution y = any real # y = 0 None of the above. A farmer plants soybeans and corn on his 0 acres of land. He plants twice as many acres with soybeans as with corn. How many acres are planted with corn? 0 acres 0 acres 0 acres 0 acres. How many gallons of gasoline that % ethanol must be added to,000 gallons of gasoline with no ethanol to get a miture that is 0% ethanol? 0,000 gallons,800 gallons, gallons 0,000 gallons. The sum of two consecutive even integers is 8. What is the smaller of the two integers? Solve for y: y= y= y= + y= + y = F

2 8. Solve for h: A= kr( h+ r) A kr h = kr A kr h = r A r h = h= Akr r kr 9. Write in interval notation:,,,, 0. Solve and write the solution in interval notation: + z< z+ (,) (,] (, ) (,). Solve: + = No solution =, = = =, =. Solve and write the solution in interval notation: w7, [, ),,,, ( ]. Determine the slope of the line containing the points (, ) and ( 7, 8) 8 m = m = 8 8 m = m = 8. Write the slope-intercept form of the equation of the line that passes through ( 0, ) and (, ) y = y= y= + 8 y = F

3 . Graph the linear equation: = y+. Write the equation of the horizontal line that passes through (, ) + = 0 y = = y = 0 7. Determine whether the lines are parallel, perpendicular, or neither: 8 9y = + y = parallel perpendicular neither F

4 8. Determine which of the following graphs is NOT a function: y y y Identify the domain and range of the relation, and determine whether or not the relation is a function. {(, ),(, ),(, ),(,7 )} Domain: {,,, }; Range: {,,,7} ; Function Domain: {,,,7} ; Range: {,,, } ; Function Domain: {,,, }; Range: {,,,7} Domain: {,,,7} ; Range: {,,, } ; Not a function ; Not a function F

5 0. Determine the domain: f ( ) = (, 9) ( 9,) (, ) (, ),, (, ) (,9) ( 9, ). Determine the domain: ht ( ) = 7 t, 7 7,, 7 7,. Let g( ) = and evaluate g 0 0. Let f ( ) = + and simplify f ( + ) Solve the system: 8y+ = 0 = y + 7 Infinitely many solutions No solution (, ) (, ). The Bulldogs won 7 more baseball games than the Eagles. Determine how many games the Bulldogs won if both teams together won games. games 9 games games games F

6 . Simplify: c d cd. The answer should not contain negative eponents. c d c d 0 d 0 c c d 0 7. Simplify: ( s t ) ( s 7 t ). The answer should not contain negative eponents. t s t s t s t s 8. Which of the following is a degree trinomial? Simplify: ( + ) + ( 9 + ) Simplify: ( 9n + 7) + ( n + ) ( n ) n + 9 n + n + n + 9. Multiply: s 7 ( s s + s ) s + 8s s + 0s 8 7 s 8s + s 0s s + 8s s + 0s s s s. Multiply: ( 8+ 9)( ) F

7 . Multiply: ( 9z+ )( z z+ ) 9z z z z 7z 8z z 7z+ 0 9z z +. Multiply: ( p + ) p + p + p + p+ p + p+. Divide: Divide: 8r r + r+ 0 r + r + r+ 8 8r r r r 8 r r Divide: ( ) ( ) Factor completely: ( n 8)( n 0) n + 90n ( n 8n 80) + + prime ( n+ 0)( n+ 0) F

8 9. Factor completely: ( c )( c c) c c c c + + cc ( )( c ) + + ( c )( c c) + + cc ( + )( c+ ) 0. Factor completely: w w 8 w( w) 8 ( w+ 7)( w ) ( w 7)( w ) + + prime. Factor completely: p 9 ( p+ 7)( p 7) ( p+ 7)( p 7) prime ( p 7). Factor completely: m mn 0n ( mn)( m 0n) ( m n)( m+ 0n) prime ( m+ n)( m 0n). Solve: t 7t = 7 t = 9, t = 8 t = 9, t = 8 t = 0, t = 7 t = 0, t = 7. Solve: z = z z = z = z = 0, z = z = 0, z =. A rectangular garden is to cover 88 square feet of area. If the width is feet less than the length, find the dimension of the pen. length = 8ft; width = ft length = ft; width = 8ft length = 0ft; width = 8ft length = 9ft; width = 7ft F

9 . Simplify: cannot be simplified 7 7. Multiply: 9 g + + ( )( + ) ( + ) ( )( ) ( )( ) ( + ) ( + )( ) ( + ) 8. Divide: 8 8y 9 y 7 y 09 8 y 88y y 9 y 7 9. Subtract: + + ( )( + ) Solve: + = 0 y+ y y y = y = No solution y = 7 F

10 . Solve: + = 7+ = =, = = =, =. Convert the epression to radical form and simplify, if possible: ( ). Convert the epression to radical form and simplify, if possible: not a real number. Multiply and simplify: 0g y 0 y 0y y y. Simplify: Simplify: 0m. Assume the variable represents a positive real number. m m 0 m 0 m 7. Simplify: 8 a b a b g ab a b g a a b 7 9 8a b 8. Simplify: F

11 9. Multiply and simplify: ( + )( ) + 0. Rationalize the denominator: 9 9 Already rationalized. Rational the denominator: Solve: p 8= p = 7 No solution p = p = 87. Solve: t + 7= + t = t = No solution t =. Solve: z = 7 z z = 7, z = 8 No solution z = 7 z = 8. Simplify the radical in terms of i: 8 i i i i F

12 . Simplify: i ( i) ++ ( i) + 9i 7 + i + i + i 7. Multiply and simplify: ( i)( + i) i i 0 i i 0 i+ i 8. Divide: i + i i i i 9. Simplify: i i i 70. Solve: 8 = p p 97 p= 8, p= 8 p=, p= p = ± i None of the above Solve: ( m+ ) + 0 = 9 m=, m= 9 m=, m= 9 m= ± 7i m= ± 7i 7. Determine the value of n so that the epression is a perfect square trinomial: + 8+ n n = n = n = n = 8 7. Solve: y + = 8y y = ± i y = 8± i 9 y = 8 ± 9 y= ± i F

13 7. An object is launched from the ground. The height h (in feet) of the object t seconds after the object is released is given by h= t + 9t. When will the object be 80 feet in the air? at second at second & seconds at seconds at seconds F

Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1

Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () 1 1 1 1 f. 1 g. h. 1 11 i. 9. Solve the following equations for the given variable: 1 Solve for. D ab