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1107 ALGEBRA (PACE) Exam Questions And Answers
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Ratio is the comparison of numbers or expressions by __________.
correct answer ✅division A/An __________ is a mathematical statement that two ratios are equal. - correct answer ✅proportion WRITE THE RATIO AS A COMMON FRACTION IN LOWEST TERMS. I hour to 90 minutes - correct answer ✅2/ WRITE THE RATIO AS A COMMON FRACTION IN LOWEST TERMS. (x^2 - 5x - 14) to (x - 7) - correct answer ✅(x+2)/ WRITE THE RATIO AS A COMMON FRACTION IN LOWEST TERMS.
x + 4 to x - correct answer ✅(x+4)/x SOLVE AND CHECK... x/27 = 5/3 - correct answer ✅x= SOLVE AND CHECK... x/3 = 9/12 - correct answer ✅x=2 1/ A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel an additional 247 kilometers? - correct answer ✅x= 6 1/2 or 6.5 hours The ratio of a boy's age to his father's age is 1:4. If the sum of their ages is 35 years, what are their ages? - correct answer ✅x=7 yr
correct answer ✅Finally, brethren, whatsoever things are true, whatsoever things are honest, whatsoever things are just, whatsoever things are pure, whatsoever thins are lovely, whatsoever things are of good report; if there be any virtue, and if there be any praise, think on these things. In the formula r = 113/p, we say r varies __________ as p. - correct answer ✅inversely In A=720/m , if m is halved, then A is __________. - correct answer ✅doubled In A = s^2 , A varies directly as the __________ of s. - correct answer ✅square A certain pip can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time? - correct answer ✅x= 1 1/ (number of hours to fill the pool)
A man can paint a certain house in 5 days. He and his brother can do the job together in 3 days. How many days would it take his brother to paint the house if he worked alone? - correct answer ✅x= 7 1/ (number of days for the brother to paint the house) A man discovered he had only $5 bill and $1 bills. The number of $ bills was 4 more than 3 times the number of $5 bills. He had a total of $36. How many of each kind of bill did he have? - correct answer ✅x= ($5 bills) 3x+4= ($1 bills) Becy has 20 coins; some are quarters and the rest are dimes. The total value of the coins is $3.65. Find the number of each kind of coin. - correct answer ✅x= (quarters)
x/4 = 6/8 - correct answer ✅x= SOLVE FOR X AND CHECK YOUR ANSWERS. 3/63 = 16/x - correct answer ✅x= A girl saved $13.50 in 6 weeks. At that rate, how long will it take her to save $108? - correct answer ✅x= (number of weeks to save $108) A photograph measures 2 1/4 centimeters high and 5 centimeters wide. How high will the photograph be if it is enlarged to 12 centimeters wide? - correct answer ✅x= 5 2/5 or 5.4 cm
A punch recipe calls for 1 liter of lemon soda for every 3 liters of fruit juice. If a woman uses 10 liters of fruit juice, how many liters of lemon soda would she need? - correct answer ✅x= 3 1/3 L Two numbers are in the ratio of 3 to 4. If 9 is subtracted from each, they are in a ratio of 3 to 5. Find the two numbers. - correct answer ✅3x= (first number) 4x= (second number) The ratio of the length of a rectangular field to its width is 4:3. The perimeter of the field is 308 meters. What are its dimensions? P=2l+2w - correct answer ✅l=88m w=66m If A=1,386 square centimeters and π=22/7, find r. A= πr^
many of each kind were sold? - correct answer ✅x= (student tickets) 90-x= (adult tickets) Pudge had $2/25 in dimes and nickels. If he had twice as many dimes as nickels, how many of each coin did he have? - correct answer ✅x= (nickels) 2x= (dimes) One kind of hard candy sells for 89 cents per kilogram. Another sells for $1.10 per kilogram. How many kilograms of each kind will need to be used for 30 kilograms of a mixture to sell for 96 cents per kilogram? - correct answer ✅x= (kilograms of candy worth 89cents/kg)
30-x= (kilograms of candy worth $1.10/kg) How many milliliters of vinegar must be added to 20 milliliters of a 10%-vinegar solution to make it a 25%-vinegar solution? - correct answer ✅x=4mL