# (c) ( 5) 2. (d) 3. (c) 3(5 7) 2 6(3) (d) (9 13) ( 3) Question 4. Multiply using the distributive property and collect like terms if possible.

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1 Name: Chapter 1 Question 1. Evaluate the following epressions. (a) 5 (c) ( 5) (b) 5 (d) ( 1 ) 3 3 Question. Evaluate the following epressions. (a) 0 5() 3 4 (c) 3(5 7) 6(3) (b) 9 + (8 5) (d) (9 13) + 15 ( 3) Question 3. Simplif each epression b collecting like terms. (a) (b) 9 5 Question 4. Multipl using the distributive propert and collect like terms if possible. (a) 3(6n + 7) (d) 4{1 + 3[7 ( + z)]} (b) 8(6 + 3) + 6(9 + 7) (e) [ 8p (p 3)] + [ 5p ( 7 5p)] (c) 4(5 ) ( 3) (f) (3 5) [ (3 + 7)] Question 5. Evaluate the following epressions for the specified values. (a) for = 8 (c) for = 10 (b) for = (d) () + (5 + 1) for = Math 81 Beginning Algebra

2 Name: Chapter Question 1. Determine if the given value is a solution to the given equation. (a) Is 3 a solution to the equation (3 ) = 1 ( )? (b) Is a solution to the equation 3( ) = 4(5 + )? Question. Solve for and check our solution. If the solution is not an integer epress our answer as a reduced fraction. (a) = 1 (c) 45 = 5 (b).8 + = 4.7 (d) 1 6 = 48 Question 3. Libb s four quiz grades in her histor class are 89, 87, 80, and 81. What score does Libb need to obtain on her net quiz to get an average on her quizzes of 85? Question 4. Solve for and check our solution. If the solution is not an integer epress our answer as a reduced fraction. (a) = (e) 8 = 3 4 (b) 14 + (7 ) = 0 4 (f) 1 ( + 3) = 4 ( 3) 4 (c) 0.5(1. 3.4) = (g) 1 7 (7 14) = 1 ( ) 3 (d) 3( + 6) = (4 1) + 4 (h) 0.( 3) = 4(0. 0.1) 4 Question 5. Write an algebraic epression. Use the variable to represent the unknown value. (a) 19 more than a number. (c) Triple the sum of a number and 4. (b) Two-thirds of a number. (d) Twice a number decreased b three

3 Question 6. Solve each scenario. (a) 10 less than double a number is the same as 7 times the number. (c) Two airplanes take off at the same time. One flies east at 110 miles per hour and the other flies west at 90 miles per hour. How far apart will the be in 6 hours? (b) The measure of the first angle of a triangle is 3 times the measure of the third angle. The measure of the second angle of a triangle is 0 less than the third. Draw a picture of the triangle and label its angles. Solve for all three angles of the triangle. (d) Erica invested a total of \$5, 000 in two accounts. The first account pas 3% simple interest per ear and the second accounts pas 4% simple interest per ear. After 1 ear her she made \$176 in interest, how much did she invest in each account? Question 7. Solve each inequalit and graph the result. (a) (b) 3 + > 5( + 1) (c) > (d)

4 Name: Chapter 3 Question 1. Plot and label the following points. A: (, 3) B: ( 1, 0) C: (0, 5) D: ( 3, 6) E: (4, 5) F: (, 3) Question. Give the coordinates of each point G H 4 J K I 6 Question 3. Graph each line. (a) 5 + = 15 (b) + 4 = 8 + (c) 3 = + 6

5 Question 4. Complete the ordered pairs so that each is a solution to the given equation. (a) = 7 3 (i) (0, ) (ii) (, 10) (b) + 5 = 1 (i) (1, ) (ii) (, 4) (c) = 6 (i) (, 4) (ii) (, 8) Question 5. Find the slope of the line passing through each pair of points. (a) (, 1 ) and (5, 3) (b) ( 1, ) and (4, ) (c) (3, 7) and (3, ) Question 6. Graph each line. (a) = (b) 3 = 1 (c) = Question 7. Write the equation of a line satisfing the given conditions. (a) Passing through (3,-4) with slope 6 (d) Passing through ( 1, 4) and (, 1). (b) Passing through ( 1, 4), with slope 1 3. (e) Passing through (3, 7) and ( 6, 7). (c) Passing through (3, 5) and (0, 7). (f) Passing through (, 6) and ( 1, 6). 5

6 Question 8. What is the slope of the line perpendicular to to the line whose equation is = 1 4 5? Question 9. Determine the equation of the line perpendicular to = 1 5 passing through 4 the point (1, ) Question 10. Given the following functions, find the indicated values. (a) f() = 7 6 (i) f(0) (ii) f( 4) (b) g() = (i) g( 1) (ii) g(3) (c) h() = + 4 (i) h( ) (ii) h(6) Question 11. Write the equation in slope intercept form of the line shown in the graph Question 1. Write the equation in slope intercept form of the line shown in the graph

7 Question 13. Is the set of ordered pairs f = {(, 1), (3, 1), (5, 1), (10, 1)} a function? Eplain wh or wh not. Question 14. Determine which of the following graphs represents a function. If it is, simpl state es, if not eplain wh it fails to be a function. Question 15. Economists in the Labor Department are concerned about the continued job loss in the manufacturing industr. The number of people emploed in manufacturing jobs in the united states can be predicted b the equation = , 00 where represents the number of ears since 1994 and is the number of emploees in thousands in the manufacturing industr. Use this data to answer the following questions. (a) How man people were emploed in manufacturing in 1994? In 000? In 008? (c) What is the slope of this equation? What is its significance? (b) Use our answer(s) from question (a) to draw a graph of the equation = , 00. (d) What is the -intercept of this equation and what is its significance? 18, 000 Number of people emploed (in thousands) 16, , 000 1, , Number of ears since

8 Name: Chapter 4 Review Question 1. Solve each of the following sstems b graphing. (a) + = 8 = (b) + = = 4 Question. Solve each sstem b substitution. (a) 3 = 9 + = 1 (b) = 3 = 11 Question 3. Solve each sstem b elimination. (a) + 5 = = 1 (b) 7 4 = 6 5 = 3 Professor: W. Ila Peterson Math81 Beginning Algebra

9 Question 4. Solve each sstem b an appropriate method. (a) = = 8 (c) 5 = = (b) = = 10 (d) = = 11 Question 5. Amanda works as a salesperson for a home securit compan. Each pa period Amanda earns \$900 plus a 5% commission on her sales for that pa period. At a different securit compan Carl, who also sells home securit sstems, earns \$1, 00 each pa period and a 3% commission on her sales. For what amount of sales will both Amanda and Carl get paid the same?

10 Question 6. Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 11 feet more than three times the width. He needs 70 feet of fencing to do the job. Find the length and the width of Jarod s vegetable garden fence. Question 7. A boat travels downstream 150 miles in 5 hours. The return trip takes 7.5 hours. Find the speed of the boat without a current and the speed of the current. Question 8. Devon purchased tickets to an airshow for 5 adults and two children the total was \$18. The cost of a child s ticket was \$6 less than the cost of an adult ticket. Write and solve a sstem of linear equations to find the cost of one adult s ticket and the cost of one child s ticket.

11 Name: Chapter 5 Question 1. Simplif each of the following epressions. Write our answer with positive eponents. (a) ( 6a )(3a 5 ) ( ) 1 (f) ( 5ab c 3 ) ( ) 1 (b) (3 )(3 3 4 ) ( ) 1 (g) ( 0 3 4w 5 z ) 3 ( ) 1 (c) ( ) 1 (h) 6 3 ( ) 1 (d) ( b ) 4 ( 5b 4 ) 3 ( ) 1 (i) ( 5 ) 3 ( 1 ) (e) ( 3a 3 b ) ( 1 ) (j) ( ) ( ) 1 Question. Write in scientific notation. (a) 156, 340, 000, 000 (c) (b) (d) 13, 780 Question 3. Write in decimal notation. (a) (c) (b) (d)

12 Question 4. Evaluate b using scientific notation and the laws of eponents. Leave our answer in scientific notation. (For full credit all numbers should be converted to scientific notation) (a) (4, 000, 000)(1, 500, 000, 000) (b) (0.003) 4 Question 5. Toda s fastest modern computers can perform one operation in second. How man operations can such a computer perform in one minute? Question 6. During feeding season, gra whales eat pounds of food per da. If the feeding period lasts 140 das, how man pounds of food in total will a gra whale consume during the feeding period? Question 7. Perform the indicated operation and simplif. (a) ( ) (g) ( 4)( + 4) (b) ( ) ( 3 + 5) (c) (3 + 4) + ( 4 5) (d) 5a(4a 3b) (e) 3 ( 4 + 1) (h) ( 4) (i) ( 3)( + 3) (j) (3m 10) (f) 3( ) (k) ( + 5) Question 8. Find a polnomial that describes the shaded area in the figure

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