Math 60 PRACTICE Exam 2 Part I: No Calculator

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1 Name: This practice exam covers questions from sections 2.7, 2.8, and Math 60 PRACTICE Exam 2 Part I: No Calculator Show all your work so that: someone who wanted to know how you found your answer can clearly see how. if you make a mistake, I can see where it happened and determine how much partial credit you should be awarded. You may use scratch paper, but all necessary work must be written on this exam. Simplify all fractions as much as possible. The entire exam is closed-note, closed-book. You may not use your calculator or any other electronic device on this part of the exam. Take your time, because you have plenty to spare. Check your answers.. Simplify each algebraic expression, if possible. If it s not possible to simplify the expression, state this. x 2 x 4 y 2 y 0 A 5 8 t 3 e) (2q 2 )(3q 3 ) f) (5 y)(5y 3 ) g) (a 3 2 h) (pq 5 ) 3 i) ( 0B) 2 j) ( 4x) 3 k).2(x y) 3 l) 2 u(uv)2 2. Simplify each algebraic expression, if possible. If it s not possible to simplify the expression, state this. 8x 2x 2Q 8Q.3y 0.3x 4p 5q e) 5t 2 2t 3 2 f) 3 a2 2 a2 g) 5z 3 z 3 h).3b 2 2.7b 2 3. Determine if the following statements are true or false; circle either True or. Let a, b, and c be real numbers and/or variable expressions. True or : The distributive property states that a(b + = ab + ac. True or : The associative property of addition states that a + (b + = (b + + a. True or : True or : True or : 3(q 3 ) 2 = 3q 6. True or : The associative property of multiplication states that a(b = (ac. The terms 2x 2 and 22x are like terms. 3(8x)(2 y) = (24x)(6 y). True or : There is no solution to the equation 3x = 2x +. True or : There is no solution to the equation 3x = x + 2x. 4. Simplify each algebraic expression, if possible. If it s not possible to simplify the expression, state this.

2 Math 60 PRACTICE Exam 2.4(2x + 5) 2(3x 2 + x) (2x 3) (5x + 3) (5z 2) ( 2z 4) e) 4(T 9) f) 6 3(x 2) g) 8.(2x ) + 5(x 3) h) 2 3 (4d + 6) + 3 (2d + 5) 5. Solve each equation below. If there is exactly one solution, include a check of your solution. In all cases, state the solution set. 5(t + ) + (3t 5) = 9(t 3) (2t 3) 4.7(x 2) + (5x.5) = 4(x + 2) (x.2) 2(y 5) 4 y = 3(y ) 7 2 (Q 2) 3 4 Q = 2(Q + 5) Solve each equation below. If there is exactly one solution, include a check of your solution. In all cases, state the solution set. 3 8 t 3 = 5 6 t x = 2 3 x (x 2) = 3(x + ) + 5x 7(x + 2) 4x = 5(x + ) (2x 9) 7. Solve each linear inequality below. Graph the solution set on a number line, and then write the solution set using an interval and set-builder notation. ( 3 8(x 2) 5( 3x + ) ( 2 p < p ( 3.7t + 4 2t 7.6 Part I: No Calculator Page 2 of 6

3 Math 60 PRACTICE Exam 2 ( 5 6 x 2 x < 3 x Solve the proportion below. Show the check for your solution and state the solution set. x 0 3x + 3 = 4 5 Solve the proportion below. Show the check for your solution and state the solution set. h + 6 2h + 9 = Solve the equation PV = nrt for T. Solve the equation m = 2A + 7 for A. 0. e) f) g) h) State the formula for the perimeter of a square in terms of its side length:. State the formula for the circumference of a circle in terms of its radius:. State the formula for the area of a triangle in terms of its base width and height:. State the formula for the area of a circle in terms of its radius:. State the formula for the perimeter of a rectangle:. State the formula for the area of a rectangle:. State the formula for the volume of a rectangular prism:. State the formula for the volume of a right circular cylinder:. Part I: No Calculator Page 3 of 6

4 Name: Math 60 PRACTICE Exam 2 Part II: Calculator Permitted You may use a calculator (basic, scientific, or graphing), but may not use any other electronic device. Show all your work so that: someone who wanted to know how you found your answer can clearly see how. if you make a mistake, I can see where it happened and determine how much partial credit you should be awarded. The calculator should only be used at the end of your problem-solving process, to calculate some decimal value. Where appropriate, round to four significant digits.. A book store sells a book for $7, which is 30% more than its wholesale price. What is the wholesale price? Define the variable you use, including units. 2. A bill from a restaurant for a party of eight people (which included a 8% tip) was $ What was the bill before the tip was included? Define the variable you use, including units. 3. A clothes washer is priced at $ during a 25% price sale. What was the price of the washer before this sale? Define the variable you use, including units. 4. A television service provider offers service for $02 per month as part of a 5% discount promotion. What would the monthly rate be without the promotion? Define the variable you use, including units. 5. A hammer and box of nails costs $30 total. The hammer costs $2 more than two boxes of nails. What is the price of each item? Define the variable you use, including units. 6. An 8-foot board is cut into two pieces. One piece is 36 inches longer than the other piece. What is the length of each piece? Define the variable you use, including units. 7. An electrician charges a flat fee of $75 and then $55 for each hour of service. Write and solve a linear inequality showing how many hours of service will keep the total bill under $450. Define the variable you use, including units. 8. A certain coffee shop usually takes in $500 in revenue by noon, and then only $.79 for every minute it stays open after noon. Write and solve a linear inequality showing how long the coffee stop should remain open in order to take in a total of at least $2000 of revenue before closing. Define the variable you use, including units. 9. A 2 ounce soda has 39 grams of sugar. How many grams of sugar are in a huge 32 ounce cup of soda? Set up and solve a proportion and define the variable you use, including units.

5 20. It takes you 22 minutes to mow your own back yard, which is 60 square feet of easy-to-access grass. Your neighbors are out of town and have asked you to mow their lawn, which has similarly accessible space. If their lawn is 760 square feet, how long will it take you to mow it? Set up and solve a proportion and define the variable you use, including units. These are simply the final answers/statements for the problems in PRACTICE Exam 2. The steps you may need to show for each problem are not presented here. The answers here have not been double checked, and in my rush to get these out to you, there may be errors and/or typos. The conclusion statements here may not be as complete as is expected of you.. x 6 y 22 A 40 t 33 e) 36q 5 f) 25y 4 g) a 6 b 2 h) p 3 q 5 i) 00B 2 j) 64x 3 k).2x 3 y 3 l) 2 u3 v x 6Q can t be simplified can t be simplified e) 3. True can t be simplified True True f) 6 a2 g) 4z 3 h).4b x x 2 2x 3x 6 7z 8 e) 37 4T f) 3x g) 2.2x Checks omitted. The solution set is { 24}. The solution set is {3}. The solution set is {0}. The solution set is Checks omitted. The solution set is The solution set is h) 0 3 d There are no solutions. The solution set is (, ). 7. Number line plots omitted. [ 2, ) {x x 2} (, /5) [ 72/9, ) {p p < /5} {t t 72/9} (, ) {x x is a real number}

6 8. Checks omitted. The solution set is {6}. The solution set is { 2}. 9. T = PV nr A = 2(m 7) 0. P = 4s c = 2πr A = 2 bh A = πr 2 e) P = 2L + 2W f) A = LW g) V = LW H h) V = πr 2 h. Appropriate steps and conclusion statement omitted from this quick answer. $90 2. Appropriate steps and conclusion statement omitted from this quick answer. $ Appropriate steps and conclusion statement omitted from this quick answer. $ Appropriate steps and conclusion statement omitted from this quick answer. $20 5. Appropriate steps omitted from this quick answer. A box of nails costs $6, and the hammer costs $ Appropriate steps omitted from this quick answer. The shorter piece is 2.75 feet long, and the longer pieces is 5.25 feet long. 7. Appropriate steps omitted from this quick answer. There needs to be less than about 6.8 hours of labor. 8. Appropriate steps omitted from this quick answer. They need to stay open at least 279 minutes past noon. That s about 4.66 hours, so until about 4: Appropriate steps omitted from this quick answer. There is about 04 grams of sugar. 20. Appropriate steps omitted from this quick answer. It will take about 27.4 minutes.