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1 Name: Intermediate Algebra Be sure to show all work! Use pencil. PROBLEMS Solve the equation. z z 1 = z + 8 Date Due: Chapter -B Homework ANSWERS. Write an equation to support your answer.. The length of a rectangle sign is feet less than three times its width. Find the dimensions if the perimeter is 8 feet Write an equation to support your answer. For the 001 Major League Baseball season, the opening day payroll for the Minnesota Twins was $46,718,000 less than the opening day payroll for the Colorado Rockies. The total opening day payrolls for these tow teams was $95,418,000. What was the opening day payroll for each team? 4. T = 3 vs 4ws + 5vw Solve for v. 4. Solve. Write the solution in interval notation and graph. 3 5 ( 1) 1 x + x + graph

2 Solve. Graph the solution set. Write in interval notation x or x < graph Solve the absolute value equation n = 4n + 11 For problems 8-9, solve the inequality and graph the solution set. 6 ( 3 + x) 5 4 graph 6x 13 7 graph Write an inequality to support your answer. In the Winter Olympics speed skating event, Hans scored times of 5, 4.04 and 87 minutes on his first three trials. Find the maximum time he can score on his last trial so that his average time is under 4.0 minutes.

3 Name: Intermediate Algebra Be sure to show all work! Use pencil. PROBLEMS Date Due: Ch 3-4 Homework ANSWERS Determine if ( 5, 1) x + 5y = 10 is a solution to the following equation. For problems and 3, solve the function for each of the numbers given. g ( x).7. g () 1 = x + 6.8x. g ( ) Graph the following using a t chart. Use three points. 4. x + y = 3 4. Find the equation of the line. Write the equation in standard form of a line. Through (, 8) and ( 4, 3)

4 Find the equation of the line. Write in standard form of a line. 6. through (, 3, ) : Perpendicular to 3 x + y = 5 6. Find the equation of the line passing through the given points. Use function notation to write the equation. ( 9, ), ( 3,10) Graph the inequality. 3 x + y > 4 Solve the system by graphing. 4x y = 6 x y = 0 Solve the system using the elimination method. 6x 3y = 3 4x + 5y = 9

5 Name: Intermediate Algebra Be sure to show all work! Use pencil. PROBLEMS Date Due: Chapter 5 Homework ANSWERS For problems 1-, simplify. Write without negative exponents. 5 ( 30z )( z ) 55z a b.. a b Perform the indicated operations. Write in scientific notation For problems 4-9, perform the indicated operation. 4. ( 3x + 6xy + 3y ) ( 8x 6xy y ) 4. ( 1)( 5x x ) x

6 6. If f ( x) = x 3x, find ( a + 5) f. 6. Factor by grouping. 4x + xy 10x 5y Factor ( 3x 1) + 5( 3x 1) + 6 Factor x 4y Write an equation to support your answer. A gardener has a rose garden that measures 30 feet by 0 feet. He wants to put a uniform border of pine bark around the outside of the garden. Find how wide the border should be if he has enough pine bark to cover 336 square feet.

7 Name: Date Due: Intermediate Algebra Chapter 6 Homework Be sure to show all work! Use pencil. For problems 1-, perform the operations as indicated. 4a + 36 a a 6 a 7a 18 a 81. x x + x 4. + x 3 x 3 x + 1 Simplify the complex fraction. 5 x x 1 + x 4. Divide: ( + 13x + 5) ( x + 3) x 4. For problem 5-7, solve the equation. x x = + 7x x + 6 x + 5

8 6. 1 = x 4 x a1 anr s = for a1 1 r For problems 8-10, be sure to write an equation to support your answer. One hose can fill a goldfish pond in 45 minutes, and two hoses can fill the same pond in 0 minutes. Find how long it takes the second hose alone to fill the pond A plane flies 465 miles with the wind and 365 miles against the wind in the same length of time. If the speed of the wind is 0 mph, find the speed of the plane in still air. 13 If a number is subtracted from the numerator of and added to 8 13 the denominator of, the resulting fraction is equivalent to. Find 8 5 the number.

9 Name: Date Due: Intermediate Algebra Chapter 7 Homework Be sure to show all work! Use pencil. PROBLEMS ANSWERS For problems 1-, perform the operations as indicated. 8a b If f ( x) = x + 3, find ( 1) f.. Multiply y y + 5 Use the quotient rule to divide. Then simplify if possible x x y y Subtract x x

10 Multiply. 6. ( 5 3x y )( 4 x + 1) 6. Rationalize the denominator Solve the equation. x + 3 = 4x + 1 Multiply. ( 6 + i)( 6 i) Write the quotient in 6 i + i a + bi.

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