Free Pre-Algebra Practice Quiz Through Lesson 48! page 1

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1 Free Pre-Algebra Practice Quiz Through Lesson 48! page 1 Through Lesson 48 Practice Quiz Name 1. The rectangles are similar. Find the length of the smaller rectangle. 2. Minicraft Models Deluxe RMS Titanic 1/350 Scale: This kit of the Titanic measures 30 1/2 inches long and 3/14 inches wide when complete. What is the real length of the RMS Titanic, in feet? 3. You can buy a box of gallon trash bags for $20, or a box of gallon trash bags for $7. Find the unit price for each. Which is cheaper? 4. Find the density in grams per cubic centimeter of a piece of Douglas Fir with volume 2360 cubic centimeters and weight g. 5. A medication has recommended dosage 80 mg / kg of child s weight per day. What is the recommended dosage per day for a child weighing 18 kg? 6. A pipe fills a tank at a rate of 18.5 gallons per minute. If the tank holds 2000 gallons, how long will it take to fill? 7. Fill in the equivalent numbers in the chart. FRACTION DECIMAL PERCENT 1/ % 4/ % 8. The house was 1560 square feet, and 140 square feet was used as a home office. What percent of the home was used as an office?

2 Free Pre-Algebra Practice Quiz Through Lesson 48! page 2 9. Operating at 88% efficiency, the system produced 176 KWH per day. If the system had perfect efficiency, what would the production be? 10. The club spent 24% of the year s budget on the party. The year s budget was $600. How much did they spend on the party? 11. The dinner bill was $85. If you leave a $15 tip, what percent did you tip? 12. If the sales tax rate is 9.25%, what is the sales tax on a drum set costing $718.98? 13. If the drum set that originally cost $ is on sale for 30% off, how much will it cost? 14. Find the simple interest earned after 3 years on $8,000 invested at 2% annual interest. 15. If the $8000 is invested for 3 years at 2% compounded monthly, what will the interest be?! A = P 1+ r $ " # n % & nt 16. A total of $25,000 was invested, $8,000 at 2% and the rest at 3% annual interest. What was the interest earned after one year?

3 Free Pre-Algebra Practice Quiz Through Lesson 48! page pounds of trailmix is 40% peanuts. Another 12 pounds is 50% peanuts. If the two are combined, what will the percent of peanuts in the combination be? ml of 10% alcohol solution is combined with 20 ml of 100% pure alcohol. What is the percent alcohol in the combination? 19. The item originally cost $124, but it was reduced to $84. What is the percent discount? 20. The number of students fell to 20,056, a 4% drop in enrollment. What was the previous enrollment? 21. If your wage is raised from $8 per hour to $10 per hour, what is the percent increase? 22. 6,166 students received financial aid in That was a 94% increase over the previous year. How many students received financial aid the previous year?

4 Free Pre-Algebra Practice Quiz Through Lesson 48! page 4 Problems from Lesson 47: *Extended Percent Problems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hat percent of DVC students enrolled in 2003 transferred in ? 2. What is the percent change (percent increase or decrease) in the number of students transferring to CSU or UC between and ? 3. What is the percent change in enrollment from 2005 to 2006? Is it a percent increase or decrease? 4. What percent of students who transferred in transferred to Out-of-State institutions? 5. What is the percent change in enrollment from 2003 to 2007? Is it a percent increase or decrease? 6. What is the percent change in transferrs from to ? Is it a percent increase or decrease? 7. Write two sentences for the college newspaper about the transfer rates.

5 Free Pre-Algebra Practice Quiz Through Lesson 48! page 5 Problems from Lesson 48: *Optional Percent Topics 1. A six-sided die is unfolded to show the faces. What is the probability of rolling a 3? 2. If you toss two coins, what are all the possible outcomes for heads and tails? What is the probability of rolling a 7? What is the probability of rolling a 5? 3. Estimate the hours in a 24-hour day that you spend on Activity Hours Hours/24 Personal maintenance: sleeping, eating, showering, 4. Calculate the percent of a 24-hour day that you spend in each category of activity. Choose a color or pattern for each and make a pie chart of a typical day below. School related activities, including transportation time. Work related activities, including tranportation time. Leisure: Time with friends or family, with TV or computer, Other y 5. An item that cost $60 wholesale is marked up 50%. What is the markup, sale price, and margin? 6. What margin corresponds to a markup of 300%?

6 Free Pre-Algebra Practice Quiz Through Lesson 48! page 1a Through Lesson 48 Practice Quiz Answers 1. The rectangles are similar. Find the length of the smaller rectangle. L W = L ( )( 1.08) = 1.8L 1.8L = L / 1.8 = / 1.8 L = 1.89 in 3. You can buy a box of gallon trash bags for $20, or a box of gallon trash bags for $7. Find the unit price for each. Which is cheaper? $20 / 200 bags = $0.10 per bag $7 / 80 bags = $ per bag Length: = 30.5 x 2. Minicraft Models Deluxe RMS Titanic 1/350 Scale: This kit of the Titanic measures 30 1/2 inches long and 3/14 inches wide when complete. What is the real length of the RMS Titanic, in feet? x = = 10, in = / 12 feet Real length was about 890 feet 4. Find the density in grams per cubic centimeter of a piece of Douglas Fir with volume 2360 cubic centimeters and weight g. density = g / 2360 cm 3 = 0.53 g/cm 3 The box of 80 is cheaper per bag. 5. A medication has recommended dosage 80 mg / kg of child s weight per day. What is the recommended dosage per day for a child weighing 18 kg? (80 mg / kg)(18 kg) = 1440 mg per day 6. A pipe fills a tank at a rate of 18.5 gallons per minute. If the tank holds 2000 gallons, how long will it take to fill? (18.5 gal / min)(t min) = 2000 gal 18.5t = 2000 t = 2000 / 18.5 = It will take about 108 minutes, or 1 hour 48 minutes. 7. Fill in the equivalent numbers in the chart. FRACTION DECIMAL PERCENT 1/ % 1/ % 8. The house was 1560 square feet, and 140 square feet was used as a home office. What percent of the home was used as an office? 140 / 1560 = about 9% was used as a home office 1/ % 4/ % 49/ % 499/ %

7 Free Pre-Algebra Practice Quiz Through Lesson 48! page 2a 9. Operating at 88% efficiency, the system produced 176 KWH per day. If the system had perfect efficiency, what would the production be? 88% of x KWH = 176 KWH 0.88x = 176 x = 176 / 0.88 = KWH per day 10. The club spent 24% of the year s budget on the party. The year s budget was $600. How much did they spend on the party? 24% of $600 is 0.24 $600 = $144 They spent $144 on the party. 11. The dinner bill was $85. If you leave a $15 tip, what percent did you tip? $15 / $85 = a 17.6% tip 12. If the sales tax rate is 9.25%, what is the sales tax on a drum set costing $718.98? 9.25% of $ is = Sales tax is $ If the drum set that originally cost $ is on sale for 30% off, how much will it cost? 30% off is 70% of the cost = It will cost $ Find the simple interest earned after 3 years on $8,000 invested at 2% annual interest. I = Prt = ($8000)(0.02)(3) = $ If the $8000 is invested for 3 years at 2% compounded monthly, what will the interest be?! A = P 1+ r $ " # n % & nt A = (8000)( /12) 12 3 A = (8000)( ) 36 = (8000)( ) = $ in the account $ $8000 = $ interest earned was $ A total of $25,000 was invested, $8,000 at 2% and the rest at 3% annual interest. What was the interest earned after one year? 2% of $8, % of (25,000 8,000) = 0.02 $ $17,000 = $160 + $510 = $670 interest earned was $670

8 Free Pre-Algebra Practice Quiz Through Lesson 48! page 3a pounds of trailmix is 40% peanuts. Another 12 pounds is 50% peanuts. If the two are combined, what will the percent of peanuts in the combination be? 40% of 10 lb = 4 lb peanuts in 1 st trailmix 50% of 12 lb = 6 lb peanuts in 2 nd trailmix Combo totals = 22 lbs peanuts in combo total 4+6 = 10 lb 10/22 = about 45% peanuts in the combo. 19. The item originally cost $124, but it was reduced to $84. What is the percent discount? ($124 $84) / $124 = It is about a 32% discount ml of 10% alcohol solution is combined with 20 ml of 100% pure alcohol. What is the percent alcohol in the combination? 10% of 300 ml is 30 ml alcohol in 1 st solution 100% of 20 ml is 20 ml alcohol in 2 nd solution total solution is 320 ml 50 ml is alcohol 50 / 320 = % alcohol 20. The number of students fell to 20,056, a 4% drop in enrollment. What was the previous enrollment? 20,056 is 96% of previous enrollment 0.96x = 20,056 x = 20,056 / 0.96 = 20, About 20,892 students. 21. If your wage is raised from $8 per hour to $10 per hour, what is the percent increase? ($10 $8)/$8 = 0.25 = 25% It is a 25% raise ,166 students received financial aid in That was a 94% increase over the previous year. How many students received financial aid the previous year? 194% of previous year is 6,166 students 1.94x = 6166 x = 6166 / 1.94 = About 3,178 students received financial aid the previous year.

9 Free Pre-Algebra Practice Quiz Through Lesson 48! page 4a Problems from Lesson 47: *Extended Percent <2.56)!=.66%R!>)66%K% I%(%232&K!0&+"2"#"2)& /41+,)V!/0#0)!:-#$,)""4+P*!3CC%,)!()*)#+,-!()F4+0! 9BB9"BC 9BBC"BL 9BBL"BM 9BBM"BN 9BBN"BD 9BBD"BE O+#$*C)+!04!S$%G)+*%0D!4C!:#"%C4+$%#!LS:M J67 JXB 6WW JNA 6AN O+#$*C)+!04!:#"%C4+$%#!/0#0)!S$%G)+*%0D!L:/SM W'AJA W'A6X W'WJJ W'WJA :AN:L :ANLN :ADNN :AD99 :ADN9 :AENB K77 KJA @NJ ]U,)".6 9A:9C 9A:M9 9ALBL 9A9NN 9ACOD ;H =,33!4#1;$ 7AAE 7AA8 7AAF 7AAG 7AAH 7AAI :033#># &-1033;#-* 77'6EH 76'667 7A'HA8 7A'66H 7A'FGG 76'GIF 1. What percent of DVC students enrolled in 2003 transferred in ? 2123 / 22,137 = about 9.6% 3. What is the percent change in enrollment from 2005 to 2006? Is it a percent increase or decrease? From 20,704 to 20,117 is a decrease difference is 20,704 20,117 = / = about a 3.8% decrease in enrollment 5. What is the percent change in enrollment from 2003 to 2007? Is it a percent increase or decrease? From 22,137 to 20,566 is a decrease difference is = / = about a 7% decrease 2. What is the percent change (percent increase or decrease) in the number of students transferring to CSU or UC between and ? From 1,722 to 1,762 is an increase difference is = / 1722 = about a 2.3% increase 4. What percent of students who transferred in transferred to Out-of-State institutions? out-of state / total transfers is 285 / 2397 = about 11.9% 6. What is the percent change in transferrs from to ? Is it a percent increase or decrease? From 2123 to 2397 is an increase difference is = / 2123 = about a 12.9% increase 7. Write two sentences for the college newspaper about the transfer rates. Transfer rates at DVC continue to rise, despite a drop in enrollment. In the years between 2003 and 2006, enrollment dropped by 7%, yet transfers increased almost 13%.

10 Free Pre-Algebra Problems from Lesson 48: *Optional Percent Topics 1. A six-sided die is unfolded to show the faces. What is the probability of rolling a 5? 0 What is the probability of rolling a 3? 1 / 6 = = 16.7% What is the probability of rolling a 7? 2 / 6 = = 33.3% 3. Estimate the hours in a 24-hour day that you spend on Activity Hours Hours/24 Personal maintenance: sleeping, eating, showering, 12 12/24 = 0.5 Practice Quiz Through Lesson 48! page 5a 2. If you toss two coins, what are all the possible outcomes for heads and tails? HH HT TH TT 4. Calculate the percent of a 24-hour day that you spend in each category of activity. Choose a color or pattern for each and make a pie chart of a typical day below. School related activities, including transportation time. 8 8/24 = 0.33 Work related activities, including tranportation time. see above 0 Leisure: Time with friends or family, with TV or computer, 4 4/24 = 0.17 Other SAMPLE answers will vary 5. An item that cost $60 wholesale is marked up 50%. What is the markup, sale price, and margin? 50% of $60 is $30 The markup is $30. The sale price is cost + markup. $60 + $30 = $90. margin is $30 / $90 = margin is 33.3% 6. What margin corresponds to a markup of 300%? margin = 300% / (100% + 300%) = 300/400 = 0.75 The margin is 75%.