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College math placement test 100% solved
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Set up the multiplication vertically. Remember to insert a place holder of 0 when you multiply 416 by 7. Answer is 29,120. - Answer -416 ร 70 = A. 29, B. 29, C. 486 D. 2, E. None of these Start by writing four and two fifths as an improper fraction: 4 2/5 = 22/ Subtract, and then write the answer as a mixed number: 22/5 โ 35 = 22 โ 3/5 = 19/5 = 3 4/5 - Answer -4 2/5 โ 3/5 = A. 3 4/ B. 1 1/ C. 3 1/ D. 2 1/
E. None of these The denominator of each fraction is 5. Since the denominators are the same, just subtract the numerators: 4/5 โ 1/5 = 4 โ 1 /5 = 3/5 - Answer -4/5 โ 1/5 = A. 3/ B. 1 C. 4 D. 1/ E. None of these The number 4 can be written as 4/1, which has the same value as 12/3: 4 โ 1/3 = 12/3 โ 1/3 = 11/3 = 3 2/3. - Answer -4 โ 1/3 = A. 3 2/ B. 1/ C. 3 D. 2/ E. None of these Use long division: 5 goes into 661 132 times, with a remainder of 1.Use long division: 5 goes into 661 132 times, with a remainder of 1. - Answer -5 /661 = A. 130; R
E. None of these Write the subtraction vertically. In the ones column, 8 can't be subtracted from 4, so we borrow a 10 from the tens column. Answer is $6.50 - Answer -$14.50 โ $8.00 = A. $7. B. $6. C. $0. D. $4. E. None of these Line up the decimals at the decimal point. In the tenths column, 9 + 5 = 14, so we write the 4 and carry the 1 to the ones column. Answer is 23.4 - Answer -22.9 + 0.5 = A. 2. B. 22. C. 23. D. 24. E. None of these
To multiply decimals, multiply as you would if they were whole numbers. After multiplying, move the decimal 3 places to the left: The answer is: 0.729 - Answer -Multiply without using a calculator. A. 3. B. 7. C. 0. D. 0. The total earnings will be base salary plus commission. The base salary is $10,000. The commission is 15% of $90,000, or $13,500. The total base salary plus commission is $23,500. - Answer -This table is used to calculate annual commissions and salaries for car salespeople. What would the total yearly earnings of a sales assistant be who has $90,000 in sales? A. $29, B. $24, C. $23, D. $15, To convert the percent to a decimal, divide by 100 and drop the percent sign. Then, "of" is a keyword meaning to multiply. 0.0015(6,000) = 9 6,000 โ 9 = 5991 gears - Answer -The failure rate of gears from a factory is 0.15%. Out of 6000 gears produced on Tuesday, how many are expected to function properly? A. 3000 gears B. 5100 gears
1 yard equals 3 feet. Use this to write a conversion factor: 12 yd x 3 ft/1 yd = 36 ft - Answer -Sara parked her car 12 yards from the store. How many feet is that?Sara parked her car 12 yards from the store. How many feet is that? A. 36 ft B. 15 ft C. 48 ft D. 4 ft Six $20 bills is 6($20) = $120. When $5 is added to $120, the result is $125. - Answer - Samantha received $125.00 in cash for her graduation. Which of these combinations is equivalent to $125.00? A. Nine $10 bills and five $5 bills B. Five $20 bills and three $5 bills C. Four $20 bills and eight $5 bills D. Six $20 bills and one $5 bill Look at the General Seating row of the table.The cost for each freshman is $11.99, and the cost for each junior is $9.99. Multiply the number of students for each ticket price: 6 ร 11.99 + 2 ร 9.99 = $91.92 - Answer -A group of students plan to attend a football game. Six freshmen and two juniors want to purchase general seating tickets. What is the total price of the tickets for this group? A. $91.
General seating tickets: 8 ร $10.99 = $87. Bleacher tickets: 8 ร $8.99 = $71. $87.92 โ $71.92 = $16.00 - Answer -Eight sophomores are deciding between bleacher tickets and general seating tickets.How much would they save by purchasing bleacher tickets? A. $2. B. $16. C. $8. D. $32. 1 = ones 7 = tens 8 = hundreds 2 = thousands 4 = ten-thousands - Answer -352,642, What is the place value of the digit 4? A. thousands B. ten-thousands C. hundred-thousands D. hundreds
2 units and right 1 unit. The point (5, 3) is also on the line. - Answer -A line contains the point (4, 5) and has a slope of โ2. Which point is also on the line? A. (4, 1) B. (6, 2) C. (5, 3) D. (5, 7) The formula for the area of a trapezoid is: A = 1/2h (b1+b2) Substitute given values into the formula and solve for the unknown base: 864 = 1/2 โ 24 (30+b2) 864 = 12 (30+b2) 864 = 360 + 12b 504 = 12b 42 = b The length of the base is 42 cm. - Answer -The area of a trapezoid is 864 cm^2. It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base? A. 42 cm B. 45 cm C. 114 cm D. 38 cm Start by drawing a diagram, and label the diagonal x. Note that each side length of the playground is 12/04 = 30 yd. Use the Pythagorean Theorem to find x. a^2 + b^2 = c^
x^2 = 30^2 + 30^ x^2 = 900 + 900 x^2 = 1800 x = โ x = 30 โ2 - Answer -A square playground has a perimeter of 120 yards. What is the length of a diagonal of the playground? A. 60โ2 yd B. 90โ2 yd C. 45 yd D. 30โ2 yd d dollars worth of merchandise was sold on Tuesday. Twice this amount is written as: 2d Fifteen less than 2d is written as: 2d โ 150 Answer: 2d โ 150 - Answer -On Tuesday, d dollars worth of merchandise was sold. On Wednesday, the amount of merchandise sold was $150 less than twice the amount of merchandise sold on Tuesday. Which expression represents the amount of merchandise sold on Wednesday? A. 2d โ 150 B. 2(d โ 150) C. 2(150 โ d) D. 150 โ 2d Multiply, and then combine like terms: 4x(2y) + 3y (2โx) = 8xy + 6y โ 3yx = 5xy + 6y - Answer -Simplify the expression: 4x(2y) + 3y(2โx)4x(2y) + 3y(2โx)
C. x = 5/ D. x = 5/ "Ten less than" means minus 10, and "twice" means times two. The expression is 2m โ
(10x + 18x โ 12x) + (โ6 + 24) = 2 16x + 18 = 2 16x = โ16x = โ1 - Answer -If 10x โ 6 + 18x โ 6(2xโ4) = 2, what is the value of x? A. x = โ8/ B. x = โ7/ C. x = โ D. x = 1 First multiply by 2 to rid the equation of the fraction. Then, bring all the variable terms on one side of the equal sign, and all the constants on the other. 5x โ 18 = x/ 2(5x โ 18) = 2(x/2) 10x โ 36 = x 9x = 36 x = 4 - Answer -Solve the equation. 5x โ 18 = x/ A. x = 2 B. x = 4 C. x = 5 D. x = 3 According to the table, a dozen roses costs $50. Daisies cost $2 each, and carnations cost $1 each. The total cost is 50 + 5(2) + 3(1) = $63 - Answer -According to the table, what is the cost of a dozen roses, five daisies, and three carnations? A. $
A. 30โ2 yd B. 45 yd C. 90โ2 yd D. 60โ2 yd As the amount of sunlight increases from 4 to 5 to 6 hours, the plants grow more per week. The plants that get more sunlight are growing more quickly. According to the information in the graph, longer exposure to sunlight tends to result in more rapid growth. - Answer -The graph shows the amount of growth in plants exposed to different amounts of sunlight. What is a reasonable conclusion, based on the data in the graph? A. Plants do not grow unless they have at least 5 hours of sunlight. B. Longer exposure to sunlight tends to result in more rapid growth. C. More than 5 hours of sunlight is bad for plants. D. Plants cannot survive with less than 5 hours of sunlight. Because the graph is strictly increasing, you can say that the price of bread increases with the cost of oil, so there is a relationship. However, the rate of increase (the slope) varies, so it is not a linear relationship, and therefore not proportional. - Answer -The graph plots the relationship between the price of oil and the price of bread in the United States. What can be said about this relationship? A. The price of bread is inversely proportional to the cost of oil. B. The price of bread increases proportionally to the cost of oil. C. The quantities do not have a relationship. D. The price of bread increases with the cost of oil, but the relationship is not proportional.
The answer is 8โ2. Factor the radicands in โ50 + โ18. You get โ25 โ 2 +โ9 โ 2. Pulling out the perfect squares gives 5โ2 + 3โ2. Because they are like radicals, you can add these. - Answer -Find โ50 +โ 18. Write your answer in simplest terms. A. 8โ B. 5โ10+ C. 5โ2+โ D. 34โ Subtract the earlier temperature, -2, from the later temperature, -5. This is the same as adding positive 2. -5 + 2 = - The temperature was 3 degrees colder in the afternoon. - Answer -Darcy read her thermometer in the morning and the temperature was โ2ยฐ C. In the afternoon the same thermometer showed a temperature of โ5ยฐ C. Which of the following is true? A. The temperature was 3 degrees colder in the afternoon. B. The temperature was 3 degrees warmer in the afternoon. C. The temperature was 7 degrees warmer in the afternoon. D. The temperature was 7 degrees colder in the afternoon. The median cost of the prints would change by $5. The median, or middle, cost of the three original prints is $35. When a fourth price is added to the list of prices, the median is the number halfway between the two middle prices. The price halfway between $ and $45 is $40, so $40 is the new median price. The median price has changed from $35 to $40, a difference of $5. - Answer -An art gallery is selling three poster prints of paintings, costing $26, $35, and $50. If the store started selling a fourth print for $45, by how many dollars would the median cost of the prints change? A. $ B. $
Analyst A: m = 32500 โ 30000/5 โ 0 = 500 Analyst B: December x = 0 f(0) = 30000 May x f(5) = 5 = โ56(5)^2 + 800(5) + 30000 = 32600 m = 32600 โ 30000/5 โ 0 = 520 Analyst B โ Analyst A = 520 โ 500 = 20 dollars per month - Answer -Julio has two financial analysts provide profit functions for his company. Analyst A provides the function given in the graph, where x is the month after December 2013, while Analyst B offers the function f(x) = โ56x^2 + 800x + 30000. How much faster is the average profit change projected by Analyst B, between December 2013 and May 2014, compared to Analyst A? A. $120 per month B. $40 per month C. $20 per month D. $500 per month This is a compound probability. Start with the numbers. There is one way to get a nine, out of 10 possible digits (Zero through nine). Now, there are 26 letters that could go in the letter location, and only one correct letter. So there is one way to get an A, out of 26 possible outcomes. Because you want both, it is an "and" probability, so you multiply. 1/10 โ 1/26 = 1/260 - Answer -A building security code has 2 numeric digits, 0 through 9, followed by 2 letters. What is the probability that the first digit is nine and the last letter is A? A. 1/2, B. 9/ C. 1/
Use the FOIL method to distribute the terms of the first binomial to the second binomial. (3x + 4)(2x โ 5) = 3x(2x) + 3x(โ5) + 4(2x) + 4(โ5) = 6x^2 โ 15x + 8x โ 20 = 6x^2 โ 7x โ 20 - Answer -Multiply: (3x + 4)(2x โ 5) 6x^2 + 22x โ 20 6x^2 โ 7x + 20 6x^2 โ 20 6x^2 โ 7x โ 20 To find the average dice roll, multiply each result by the number of rolls, and divide by 100, the total number of rolls. 15(1) + 18(2) + 14(3) + 16(4) + 19(5) + 18(6)/100 = 360/100 = 3. The answer is 3.6. - Answer -To find the average result of rolling a six-sided dice, Josh rolls a dice 100 times. The table shows how many times Josh rolled each number. What is the mean, or average, of the dice rolls? A. 3. B. 4. C. 2. D. 3 This question asks for the probability of rain on both days. This is solved using the multiplication rule for independent probability: P(rain on M and T) = (0.6)(0.3) = 0. There is an 18% chance or rain on both days. - Answer -A weather report said there is a 60% chance of rain on Monday, and a 30% chance of rain on Tuesday. Based on the report, what is the chance it will rain on both days?
