Kennebec Learning Center AccuPlacer Arithmetic Practice Test 1 Answers, Explanations, and Solutions Created & modified 2008 – 2014 by Lichin Wei & R. E.

Kennebec Learning Center AccuPlacer Arithmetic Practice Test 1 Answers, Explanations, and Solutions Created & modified 2008 – 2014 by Lichin Wei & R. E. “Buz” Buzby TO BEGIN: Either (1) Click BEGIN TEST To Go To Question 1; or,BEGIN TEST (2) Click A Question Link Below. To Go To That Question. CLICK HERE to view printer-friendly version of the test (with answers). QN 1: QN 2: Percent Problem: Find the WholeQN 3:QN 1:QN 2: Percent Problem: Find the WholeQN 3: QN 4:QN 5: Mixed Number AdditionQN 6:QN 4:QN 5: Mixed Number AdditionQN 6: QN 7:QN 8:QN 9:QN 7:QN 8:QN 9: QN 10:QN 11:QN 12:QN 10:QN 11:QN 12: QN 13: QN 14:QN 15:QN 13:QN 14:QN 15: QN 16:QN 17:QN 18:QN 16:QN 17:QN 18: QN 19:QN 20:QN 21:QN 19:QN 20:QN 21: QN 22:QN 23:QN 24:QN 22:QN 23:QN 24: QN 25: BEGIN TESTBEGIN TEST | VIEW PRINTER-FRIENDLY VERSION | VIEW INSTRUCTIONS ON GETTING THE MOST FROM THIS PRESENTATIONVIEW PRINTER-FRIENDLY VERSION

Question 1 Solution 1-1: Subtract: 96 – 7.485 Explanation and solution goes here 8 15 9 9 96. 1 0 1 0 1 0 - 7. 4 8 5 88. 5 1 5 A) 8.851 B) 0.885 C) 88.515 D) 885.150 Answer: C QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNSOLUTION MENUNEXTPREVIOUS

Question 2 Answer: 80% of what number is 4? For this problem, we will look at 3 different solutions. Note that all 3 methods will work all the time; however, Method 3 works best when you are given answers to choose from. [Click a link below to view a solution.] Method 1: Proportion Solution Method 2: Algebraic Solution Method 3: “Guess-and-Check” Solution A) 5 B) 20 C) 10 D) 15 Answer: A QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 2 Solution 2.01: 80% of what number is 4? Method 2: Algebraic Solution D ISCUSSION : An alternative to solving by using the Percent Proportion is to convert the verbal sentence to an algebraic equation; and then, solve the resulting equation for the unknown. This conversion is easy if, in addition to remembering that the Part is the number associated with the word “is” and the Whole is the number associated with the word “of”, you remember two things … 1. In math, EVERY TIME you see “fraction of a number” or “percent of a number” the word “of” indicates multiplication. 2. The words “is” and “was” indicate equality. (Click NEXT to view the solution.) NEXT A) 5 B) 20 C) 10 D) 15 Answer: A QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 2 Solution 3.01: 80% of what number is 4? Method 3: “Guess-and-Check” Solution D ISCUSSION : Even though as children the “Guess-and-Check” method of solving problems came quite naturally, as we get older we tend to either overlooked this method or to think of it as something that is beneath us. However, it is foolishness on our part to disregard such a useful tool. In its most basic form, “Guess-and-Check” involves making a random guess, then checking to see if it works in the original problem. The difficulty with this approach is that it can prove to be frustrating and time consuming. That is why I use a method I call “Systematic Guess-and-Check”. With “Systematic Guess-and-Check” we make more “educated guesses”, thereby improving our chances of guessing correctly. Below are some ways to do this. 1.First, take a “big picture” view of the problem. Ask yourself such things as … *Is the value I’m looking for bigger or smaller than the given value? *Is it bigger (or smaller) by a little or a lot? 2. Based on what you decide in Step 1, make your first guess, then check to see how close you are. 3.If you arrive at the correct value, you are done. If not, do one of the following. *If your check yields a value that is slightly high, adjust your guess DOWN a little. If it is way too high, adjust your guess DOWN a lot. *If your check yields a value that is slightly low, adjust your guess UP a little. If it is way too high, adjust your guess UP a lot. 4.Repeat Step 3 until you arrive at the correct value. (Click NEXT to view the solution.) NEXT A) 5 B) 20 C) 10 D) 15 Answer: A QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 4: Oscar bought a road map and 12.5 gallons of gasoline for $20.50. The road map cost $2.00. What was the price per gallon of the gasoline ? Click Here To View Answer And Solution Menu A) $1.85 B) $1.48 C) $2.48 D) $2.00 QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 4 Answer: Oscar bought a road map and 12.5 gallons of gasoline for $20.50. The road map cost $2.00. What was the price per gallon of the gasoline ? Discussion and solution goes here A) $1.85 B) $1.48 C) $2.48 D) $2.00 Answer: B QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Solution: Framework Method Discussion: Although it is possible to add and subtract fractions and mixed numbers either horizontally or vertically, I have found that most of my students prefer – and have more success with – a vertical setup. I suspect this is because the vertical setup allows room to expand the solution to the right and minimizes how much your eyes have to shift back and forth across the page. My solution is based on a method I call “The Framework Approach to Adding and Subtracting Fractions and Mixed Numbers.” Some nice things about this method are … 1.It helps you keep your work organized, making it easier for you to verify and troubleshoot your work. 2.This one method can be used to add fractions, subtract fractions, add mixed numbers, subtract mixed numbers, and compare fractions. (Click NEXT to view Step 1 of ?? of the solution.)NEXT Answer: B QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 12: Angelo delivers pizzas. He is paid $7.20 per hour plus tips. Here are the amounts earned from tips in one week: Monday $22, Tuesday $30, Wednesday $27, Friday $23, Saturday $32. Find his total earnings for that week if he worked 40 hours. Click Here To View Answer And Solution Menu A) $288 B) $134 C) $422 D) $405 QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 12 Answer: Angelo delivers pizzas. He is paid $7.20 per hour plus tips. Here are the amounts earned from tips in one week: Monday $22, Tuesday $30, Wednesday $27, Friday $23, Saturday $32. Find his total earnings for that week if he worked 40 hours. Discussion and solution goes here A) $288 B) $134 C) $422 D) $405 Answer: C QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 15: Janet told her class that 18 of the 20 varieties of flowers she planted have bloomed. What percent of Janet’s flowers have bloomed? Click Here To View Answer And Solution Menu A) 10% B) 85% C) 90% D) 95% QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 15 Answer: Janet told her class that 18 of the 20 varieties of flowers she planted have bloomed. What percent of Janet’s flowers have bloomed? Discussion and solution goes here A) 10% B) 85% C) 90% D) 95% Answer: C QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 16: In three months, Joseph’s cholesterol went from 236 to 210. What is the percent decrease in his cholesterol? Click Here To View Answer And Solution Menu A) 0.1% B) 10% C) 1.5% D) 11% QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 16 Answer: In three months, Joseph’s cholesterol went from 236 to 210. What is the percent decrease in his cholesterol? Discussion and solution goes here A) 0.1% B) 10% C) 1.5% D) 11% Answer: D QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 17: How much do the Smiths spend on miscellaneous each month? Click Here To View Answer And Solution Menu A) $375 B) $450 C) $150 D) $180 Use the chart shown below to answer questions 17 and 18. QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 17 Answer: How much do the Smiths spend on miscellaneous each month? Discussion and solution goes here A) $375 B) $450 C) $150 D) $180 Answer: D Use the chart shown below to answer questions 17 and 18. QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 18: What is the Smiths’ monthly car payment? Click Here To View Answer And Solution Menu A) $225 B) $250 C) $290 D) $525 Use the chart shown below to answer questions 17 and 18. QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 18 Answer: What is the Smiths’ monthly car payment? Discussion and solution goes here A) $225 B) $250 C) $290 D) $525 Answer: A Use the chart shown below to answer questions 17 and 18. QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 21: Laura can buy a monthly train pass for $68 or single-ride tickets (1-way) for $2.30. She rides the train to and from work 16 days per month. How much money would she save each month if she bought a monthly pass? Click Here To View Answer And Solution Menu A) $5.60 B) $15.60 C) $2.56 D) $4.56 QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 21 Answer: Laura can buy a monthly train pass for $68 or single-ride tickets (1-way) for $2.30. She rides the train to and from work 16 days per month. How much money would she save each month if she bought a monthly pass? Discussion and solution goes here A) $5.60 B) $15.60 C) $2.56 D) $4.56 Answer: A QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 23: Brad Benson is 62 years old. If he waits until age 65 to retire, he will get $717 per month in social security payments. If he retires now, he will get 80% of that amount. How much will the payments be if Bras Benson retires now ? Click Here To View Answer And Solution Menu A) $573.60 B) $363.70 C) $537.60 D) $437.60 QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNSOLUTION MENUNEXTPREVIOUS

Question 23 Answer: Brad Benson is 62 years old. If he waits until age 65 to retire, he will get $717 per month in social security payments. If he retires now, he will get 80% of that amount. How much will the payments be if Bras Benson retires now ? Discussion and solution goes here A) $573.60 B) $363.70 C) $537.60 D) $437.60 Answer: A QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSNEXT QNPREV QNNEXTPREVIOUS

Question 25: Sally is thinking of a number. She says. “If you divide the number by 4 and add 11 to thequotient, the number that results is equal to three times the original number.” Which equation can you use to find Sally’s number (n)? Click Here To View Answer And Solution Menu QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSPREV QNSOLUTION MENUNEXTPREVIOUS

Question 25: Sally is thinking of a number. She says. “If you divide the number by 4 and add 11 to thequotient, the number that results is equal to three times the original number.” Which equation can you use to find Sally’s number (n)? Discussion and solution goes here Answer: A QN MENUQN MENU | NEXT QN | PREV QN | SOLUTION MENU | NEXT | PREVIOUSPREV QNNEXTPREVIOUS

Kennebec Learning Center AccuPlacer Arithmetic Practice Test 1 Answers, Explanations, and Solutions Created & modified 2008 – 2014 by Lichin Wei & R. E.

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Kennebec Learning Center AccuPlacer Arithmetic Practice Test 1 Answers, Explanations, and Solutions Created & modified 2008 – 2014 by Lichin Wei & R. E.

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Presentation on theme: "Kennebec Learning Center AccuPlacer Arithmetic Practice Test 1 Answers, Explanations, and Solutions Created & modified 2008 – 2014 by Lichin Wei & R. E."— Presentation transcript:

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