PRAXIS Math Practice

Which of the following is equivalent to x/2+y/3 ? x+y/5 x+y/6 3x+2y 3x+2y/5 3x+2y/6

3x+2y/6 Option (E) is correct. To add fractions they must have a common denominator. The least common denominator for 2 and 3 is 6. Each fraction can be written in an equivalent form with the common denominator of 6 thus, x(3)2(3)=3x6 and y(2)3(2)=2y6. Adding the two equivalent forms of the fraction gives 3x6+2y6=3x+2y6.

Which of the following expressions is equivalent to the expression 21−6x for all values of x ? 5−2(8−3x) 6+3(5−2x) 25−(4−6x) 3(4−2x)−9 7(3−2x)−8x

6+3(5−2x) Option (B) is correct. Using the distributive property, 6+3(5−2x)=6+15−6x=21−6x. None of the other selections is equivalent to this.

Which of the following scatterplots most strongly suggests a negative linear relationship between x and y?

Graph is scattered on the right of the x and y aces but it is scarttered in a down ward motion Correct Answer: A Option (A) is correct. Reading the graph from left to right shows that as the values of x increase the corresponding values of y decrease. If a line of best fit is drawn, the line would show a trend of points going down as you move to the right, which infers a negative slope. A negative slope means a negative correlation. Therefore, there is a strong negative correlation because the points are very close to the line of best fit.

If x/6 is between 3 and 4, which of the following could be the value of x ? 14 17 20 25 26

25 Option (C) is correct. When the numbers 3 and 4 are written as fractions with a denominator of 6, we need to find a value of x which satisfies the inequality 186<x6<246. This requires a number that lies between 18 and 24. The only number among the given choices that does this is 20.

If the speed of light is 1,080,000,000 kilometers per hour, how far does light travel in 100 hours? 1.08×10^9 kilometers 1.08×10^11 kilometers 1.08×10^13 kilometers 10.8×10^14 kilometers 108×10^15 kilometers

1.08×10^11 kilometers Option (B) is correct. The number 1,080,000,000 can be written in scientific notation as 1.08×109. Multiplying any number by 100 would have the same effect as adding two zeros to the number, thus increasing the exponent by 2, so light travels 1.08×1011 km in 100 hours.

12.1, 12.3, 11.9, 11.6, 11.2, 11.4, 11.1, 11.3, 11.2 Question: Marcy ran the 100-meter dash 9 times in competitions during the spring. Her times, in seconds, are listed above. What is the range of Marcy's times, in seconds? 0.8 0.9 1.0 1.1 1.2

1.2 Option (E) is correct. To find the range of Marcy's times, one strategy is to list Marcy's nine 100-meter dash times from least to greatest to easily find the fastest and slowest times she ran. Her times are as follows: 11.1, 11.2, 11.2, 11.3, 11.4, 11.6, 11.9, 12.1, and 12.3. Her slowest time was 12.3 seconds and her fastest time was 11.1 seconds. To find the range, find the difference between the fastest time ran and the slowest time ran within the data set. Therefore, 12.3−11.1=1.2 seconds.

1.4, 1.8, 2.2, 2.0, 1.0, 1.9, 1.2, 2.1, 1.7 Question: What is the median of the numbers in the list above? 1.2 1.4 1.7 1.8 1.9

1.8 Option (D) is correct. The median of an ordered set of data is the number positioned where there are an equal number less than the number and greater than the number (that is, the number in the "middle"). Rearranging the nine numbers from least to greatest, the list becomes 1.0, 1.2, 1.4, 1.7, 1.8, 1.9, 2.0, 2.1, 2.2, where 1.8 is the fifth (middle) number in the list.

A bag contains a number of solid-colored marbles, of which 6 are red, 7 are blue, and the rest are yellow. If a person were to draw a marble at random from the bag, the probability that the marble drawn would be red is 14. How many yellow marbles are in the bag? 11 12 13 14 15

11 Correct Answer: A Option (A) is correct. The probability of drawing a red marble is 14 and there are 6 red marbles in the bag, which means that there are a total of 24 marbles in the bag, since 6/24=1/4. There are 6 red and 7 blue marbles in the bag, hence 24−6−7=11, so there must be 11 yellow marbles in the bag.

The ratio of the number of adults to the number of children on a certain bus tour was 4 to 22. If the total number of passengers on the bus tour was 91, how many adults were on the tour? 14 48 65 69 77

14

A landscaping service needs to apply fertilizer to 5 lawns, each having an area of 7,800 square feet. One bag of fertilizer covers 2,500 square feet. What is the least number of bags of fertilizer that must be used? 13 14 15 16 17

15.6 or 16 Option (D) is correct. Each lawn the landscaper must fertilize has an area of 7,800 square feet. Since there are 5 lawns, the landscaper must have enough fertilizer to cover 7,800⋅5=39,000 square feet of lawn. Each bag of fertilizer covers 2,500 square feet of lawn. To find the number of bags needed, divide the total area of lawns by 2,500 square feet. 39,0002,500=15.6 Since 15.6 is not enough to cover all the lawns, the number of bags must be rounded up. Therefore, the total number of bags needed to cover the 5 lawns is 16 bags.

14,98,2312,k,π Question: The five numbers shown above are listed in order from least to greatest. Which of the following could be the value of k ? Indicate all such values. 2 516 238 7‾‾√ 17‾‾‾√

2 238 17‾‾‾√ The correct answers are (A), (C), and (D). This problem can be answered using estimation. The value of k lies between 2312 (a number slightly less than 2 ) and π (a number slightly more than 3). Since 516<1 and 17‾‾‾√>4, they can be eliminated easily. The other three choices are greater than or equal to 2 and less than 3, which are in the necessary interval.

The arch above is constructed of 5 nearly congruent stones, each of which is in the shape of a right prism with trapezoid bases. Based on the approximate measurements provided, which of the following best approximates the volume of the entire arch? (The area of a trapezoid with bases b1 and b2 and height h is 12(b1+b2)h.) A. 900 cubic feet B. 1,050 cubic feet C. 1,140 cubic feet D. 2,160 cubic feet E. 4,320 cubic feet

2,160 cubic feet Option (D) is correct. The volume of a right trapezoidal prism is equal to the height of the prism times the base area of the trapezoid, and is given by the formula V=12(b1+b2)⋅h⋅l, where b1 and b2 are the trapezoid bases, h = the height of the trapezoid, and l = the height of the prism. By substituting the values given: V=12(b1+b2)⋅h⋅l V=12(14+ 10)⋅12⋅3 V= 432 One trapezoidal stone is 432 cubic feet. Since there are 5 nearly congruent stones, 432⋅5=2,160. Therefore, the entire arch is approximately 2,160 cubic feet.

If 5(2x+1)=3(x+4)−5, what is the value of x ?

2/7 Solve the equation by first using the distributive property: 5(2x+1)=3(x+4)−5 becomes 10x+5=3x+12−5. Combining similar terms yields the equation 10x+5=3x+7. After subtracting 3x from both sides of the equation to get 7x + 5 = 7, subtracting 5 from both sides yields the equivalent equation 7x =2. The answer is found by dividing each side of this equation by 7.

The price of a coat was reduced from $90 to $72 at the end of the season. By what percent was the price of the coat reduced? 8% 10% 18% 20% 25%

20% Option (D) is correct. The original price of the coat was $90, and the sale price was $72, so the amount of the discount would be 90−72=18. Amount of Discount = Original Price × Percent Discount, which gives 18=90x, or x=1890=0.20=20%.

The total cost, t, in dollars, for c children to attend a camp is estimated by the equation t=650c+5,600. If $20,000 is available to pay for children to attend the camp what is the greatest number of children that can attend the camp? 21 22 23 24 25

22 Option (B) is correct. Using the equation, the total cost t for c children to attend a camp is given by t = 650c + 5,600, where the total cost is a maximum of $20,000 available to pay for a certain number of children to attend camp. t = 650c + 5,600 20,000 = 650c + 5,600 14,400 = 650c 14,400650=c c ≈ 22.15 Although there is a remainder, c represents the number of children. Since you cannot have a part of a person, 22 is the greatest number of children that can attend the camp using $20,000.

A triangle has sides of length 4, 7, and x. Which of the following could be the value of x ? Indicate all such values. 2.9 4.5 6.25 7 12

4.5 6.25 7 The correct answers are (B), (C), and (D). The triangle inequality states that the length of the longest side of a triangle must be less than the sum of the lengths of the other two sides. Examination of each case is required. If x = 2.9, then the sum of 2.9 + 4 = 6.9, which is less than the longer side of 7, so (A) cannot be a value of x. If x = 4.5, then the sum of 4.5 + 4 = 8.5, which is longer than the longest side of 7, so (B) could be a value of x. If x = 6.25, then the sum of 6.25 + 4 = 10.25, which is longer than the longest side of 7, so (C) could be a value of x. If x = 7, then it would be an isosceles triangle with lengths of 7 for two of the sides, and a length of 4 for the other side, so (D) could be a value of x. If x = 12, then the longest side of the triangle would now be 12 and the other two sides would have to sum to be larger than 12. Since 4 + 7 = 11, which is less than 12, (E) cannot be a value of x.

A large wheel has a diameter of 30 inches, and a small wheel has a diameter of 20 inches. How many revolutions does the small wheel need to make to travel the same distance that the large wheel travels in 240 revolutions? 160 240 320 360 420

420 Option (D) is correct. For each revolution of either wheel, the distance that the wheel would travel is equal to the wheel's circumference, which can be found using either C=2πr or C=πd, where C is the circumference, r is the radius, and d is the diameter. Since we are given the diameter, the latter will be used. The larger wheel travels a total distance of 240 times the circumference of the larger wheel which is 240(30π)=7,200π. The smaller wheel has a circumference of 20π. To figure how many revolutions the smaller wheel would need to go so that it would travel the same distance of 7,200π that the larger wheel travelled, 7,200π20π=360. Or, the smaller wheel would need to make 360 revolutions to travel the same distance that the larger wheel could travel in 240 revolutions.

On a certain day, the temperature was 37°F at 10 A.M. and 52°F at 3 P.M. If the temperature rose at a constant rate from 10 A.M. to 3 P.M. on that day, what was the temperature at noon? 42°F 43°F 44°F 45°F 46°F

43 Option (B) is correct. On a certain day, the temperature at 10 A.M was 37° F and at 3 P.M. was 52° F. Since the temperature throughout the 5-hour time period increased at a constant rate, each hour, the temperature increased the same amount. 52−375=155=3 gives the amount in which the temperature increased each hour. The table below shows the time and corresponding temperature each hour. Time Temperature (degrees F) 10 A.M. 37° 11 A.M. 40° 12 noon 43° 1 P.M. 46° 2 P.M. 49° 3 P.M. 52° At noon, the temperature was 43° F.

In the last step of a computation, Evelyn added 290 instead of subtracting 290. What one number can Evelyn subtract from her final result of 3,710 so that the correct result of the computation is displayed on the calculator and she does not have to clear her calculator and start over? 290 435 580 855 870

580 Option (C) is correct. Since Evelyn added 290 to a number instead of subtracting 290 from the number, the number would be off by 290 + 290 = 580. The final result of 3,710 would need to have 580 subtracted from it in order for the calculation to be corrected on her calculator.

On a map that is drawn to scale, 6 inches represents a distance of d miles. Which of the following represents the distance, in inches, of d+1 miles on the map? d(d+1)/6 6(d+1)/d d+16/d 6d/d+1 6/d(d+1)

6(d+1)/d Option (B) is correct. The given ratio of 6 inches represents d miles can be written as 6/d. Another ratio must be written for the distance d + 1 , but since the distance for d + 1 is not known, it can be called x, since that is what is being solved for in the problem. This leads to the equation 6/d=x/d+1. Cross-multiplication can be used to solve and gives 6(d+1)=d//x. Dividing both sides by d to isolate x, gives x=6(d+1)/d.

A carpenter wants to build a diagonal brace for a rectangular gate that is 5 feet wide and 7 feet high, as shown in the figure. Approximately what is the length, in feet, of the diagonal brace? 5.5 6.5 7.5 8.5 9.5

8.5

If x+z=15 and w+y=10, what is the value of (3w+3y)(2x+2z) ? 150 300 450 600 900

900 Option (E) is correct. In the expression (3w+3y)(2x+2z), a factor of 3 can be factored from the first parenthetical and a factor of 2 can be factored from the second parenthetical. 3(w+y)⋅2(x+z) The values of x+z and w+y can be substituted so that: 3(w+y)⋅2(x+z)=3(10)⋅2(15)=30⋅30=900.

A right circular cylinder with base B is shown. If a plane that is neither parallel nor perpendicular to base B passes through the cylinder, which of the following could be the shape of the intersection of the plane and the cylinder? An ellipse with circumference less than the circumference of B An ellipse with circumference greater than the circumference of B An ellipse with circumference equal to the circumference of B A circle with circumference less than the circumference of B A circle with circumference greater than the circumference of B

An ellipse with circumference greater than the circumference of B Option B is correct. A plan that is parallel to the base intersects the cylinder in a circle but because the intersecting plane is not parallel the intersection is an ellipse. One of the axes of the ellipse is equal to the diameter of the base, but the other axis (in the direction of the tilt is larger than the diameter. That means the circumference of the ellipse is greater than the circumference of the base.

The figure above shows a right circular cone with base radius 6 and height 20. The shaded portion of the figure is a right circular cone with height 10. The volume of the smaller cone is what fraction of the volume of the larger cone? (The volume of a right circular cone with base radius r and height h is 13πr2h.)

Correct Answer: 18 On the larger cone, the radius r1 is 6 when the height h1 is 20. The smaller shaded cone is similar to the larger cone, so rules for similarity can be used to determine the radius of the smaller cone. Since the height of the smaller cone h 2 given is 10, which is half of the larger cone's height of 20, the radius of the smaller cone r2 should be half the radius of the larger cone, which is half of 6, or 3. The question asks what fraction of the volume the smaller cone is compared to the larger cone, which leads to the following ratio, set up using the volume formula for each cone that was given in the problem. See Phone picture.

The figure above shows a right circular cone with base radius 6 and height 20. The shaded portion of the figure is a right circular cone with height 10. The volume of the smaller cone is what fraction of the volume of the larger cone? (The volume of a right circular cone with base radius r and height h is 13πr2h .)

Correct Answer: 18 On the larger cone, the radius r1 is 6 when the height h1 is 20. The smaller shaded cone is similar to the larger cone, so rules for similarity can be used to determine the radius of the smaller cone. Since the height of the smaller cone h 2 given is 10, which is half of the larger cone's height of 20, the radius of the smaller cone r2 should be half the radius of the larger cone, which is half of 6, or 3. The question asks what fraction of the volume the smaller cone is compared to the larger cone, which leads to the following ratio, set up using the volume formula for each cone that was given in the problem. Volume of small coneVolume of large cone=13πr22h 213πr21h 1=13π(3)21013π(6)220=(9)10(36)20=90720=18

The ages, in years, of 6 cars in a parking lot are 6, 14, 5, 1, 8, and x. If the average (arithmetic mean) of the 6 ages is 7 years, what is the value of x ?

Correct Answer: 8 To find the average of a group of numbers, sum the numbers and divide by the number of items that were summed. The average for the group of six cars in the parking lot is 7 years, and the age of one car is not known and is called x, which leads to the equation 6+14+5+1+8+x6=7. Multiplying both sides of the equation by 6 and summing the numbers gives the equation 34+x=42. Subtracting 34 from each side gives x=8. So, the car with the unknown age must be 8 years.

The graph of line ℓℓ is shown in the xy-plane above. The point on line ℓℓ that has x-coordinate 75 is not shown. What is the y-coordinate of that point? A. 100 B. 95 C. 75 D. 70 E. 65

Correct Answer: A Option (A) is correct. The change in the y-value was 20 when the x-value changed from 0 to 15, and from 15 to 30. For every change in 15 for the x-value of a coordinate, the y-value of the coordinate will change by 20. When x changes from 0 to 75, it would have five increases of 15, so the y-value also must have five increases of 20, or a change of 100.

Robert sets up a conversion as follows: 4 miles×5,280 feet/1 mile ×12 inches /1 foot Question: Which of the following conversions is he performing? Miles to feet Miles to inches Feet to miles Inches to miles Inches to feet

Correct Answer: B Miles to inches Option (B) is correct. Robert begins his conversion with 4 miles. He converted 4 miles into an equivalent number of feet by multiplying 4 by the number of feet that are in 1 mile. He then converted the number of feet in 4 miles into an equivalent number of inches by multiplying the number of feet by the number of inches that are in 1 foot. Therefore, Robert converted miles to inches.

Cristina, Greg, Lisa, and Jon are coin collectors, and together they have a total of 2,250 coins. They decided to meet and trade coins. The pie chart above shows the distribution of the 2,250 coins before trading. At the end of trading, Cristina has 32 percent, Lisa has 22 percent, and Jon has 26 percent of the total number of coins owned by the four collectors. How many more coins does Greg have at the end of trading than he had before the trading began? A. 115 B. 120 C. 135 D. 140 E. 145

Correct Answer: C Option (C) is correct. Before trading coins, Greg had 14% of the 2,250 coins, or he had 0.14(2,250) = 315 coins. After trading, the combined percentages of coins owned by Cristina, Lisa, and Jon are 32% + 22% + 26% = 80%. So, Greg must have 100% - 80% = 20%, or Greg now has 20% of all of the 2,250 coins. After trading Greg has 0.20(2,250) = 450 coins. To figure how many coins more he had after trading than before, subtract 450 - 315 = 135, or Greg has 135 more coins after trading.

The number line above shows 7 points, each of them labeled with a letter of the alphabet. The product of the coordinate of point P and the coordinate of point Q is closest to the coordinate of which of the following points? A. A B. B C. C D. D E. E

Correct Answer: C Option (C) is correct. Point P is -1.75 on the number line and point Q is -0.50 on the number line. The product of these is (−1.75)(-0.50)=0.875. This would be slightly to the right of point C which is at 0.75, thus making it the closest point to the result.

In the last step of a computation, Evelyn added 290 instead of subtracting 290. What one number can Evelyn subtract from her final result of 3,710 so that the correct result of the computation is displayed on the calculator and she does not have to clear her calculator and start over? A. 290 B. 435 C. 580 D. 855 E. 870

Correct Answer: C Option (C) is correct. Since Evelyn added 290 to a number instead of subtracting 290 from the number, the number would be off by 290 + 290 = 580. The final result of 3,710 would need to have 580 subtracted from it in order for the calculation to be corrected on her calculator.

The price of a coat was reduced from $90 to $72 at the end of the season. By what percent was the price of the coat reduced? A. 8% B. 10% C. 18% D. 20% E. 25%

Correct Answer: D Option (D) is correct. The original price of the coat was $90, and the sale price was $72, so the amount of the discount would be 90−72=18. Amount of Discount = Original Price × Percent Discount, which gives 18=90x, or x=18/90=0.20=20%.

Which of the following statements is true about right triangle ABC above? A. The measure of angle A is 45°45°. B. The sum of the measures of angle A and angle B is 70°70°. C. The area of the triangle is 6060 . D. The length of side AB is 1717. E. The perimeter of the triangle is 3030.

Correct Answer: E Option (E) is correct. The triangle shown is a right triangle with sides of length 5 and 12. This is recognized as a 5 - 12 - 13 right triangle. Or, the Pythagorean theorem could be used to find the length of the missing side. The Pythagorean theorem is c2=a2+b2, where c is the length of the hypotenuse (the side opposite the 90° angle) and sides a and b are the lengths of the other two sides. c2=(5)2+(12)2=25+144=169. Then, c2−−√=169−−−√, or c = 13. The perimeter would be 12 + 5 + 13, or 30. None of the other options are true.

A total of 54 business letters at a certain company were inspected for errors. The graph above shows the number of letters with either 0, 1, 2, 3, or 4 or more errors. How many of the 54 letters contained at most 2 errors? A. 6 B. 12 C. 24 D. 42 E. 48

Correct Answer: E. 48 Option (E) is correct. According to the graph, the three columns with 0, 1, and 2 errors are the only letters that need to be considered of the 54 business letters. There are 27 letters with 0 errors, 15 letters with 1 error, and 6 letters with 2 errors. 27+15+6=48 In total, 48 letters contain at most 2 errors.

If x+z=15x+z=15 and w+y=10w+y=10, what is the value of (3w+3y)(2x+2z)(3w+3y)(2x+2z) ? A. 150 B. 300 C. 450 D. 600 E. 900

Correct Answer: E. 900 Option (E) is correct. In the expression (3w+3y)(2x+2z), a factor of 3 can be factored from the first parenthetical and a factor of 2 can be factored from the second parenthetical. 3(w+y)⋅2(x+z) The values of x+z and w+y can be substituted so that: 3(w+y)⋅2(x+z)=3(10)⋅2(15)=30⋅30=900.

Which of the following dot plots represents a distribution of nine values of x in which the mean of the distribution is greater than the median of the distribution?

Option (C) is correct. Each of the dot plots has a median of 3. By observation, the mean of options (A) and (E) are 3, and the mean of options (B) and (D) are both less than 3. The mean of option (C), or any of the options, can be found rigorously by first finding the sum of the 9 values in the dot plot, for option (C), sum = 1 + 2 + 2 + 3 + 3 + 3 + 4 + 5 + 5 = 28, then dividing the sum by 9, so 289=319.

Triangle ABC in the xy-plane above will be translated 3 units to the right and then 2 units down. What point will correspond to vertex A after these translations? A. (−1, −1)(−1, −1) B. (−1, 0)(−1, 0) C. (0, 0)(0, 0) D. (0, −1)(0, −1) E. (1, 1)(1, 1)

Option (D) is correct. A horizontal translation changes the x-coordinate, and a vertical translation changes the y-coordinate. Translating 3 units to the right adds 3 to the x-coordinate. Translating 2 units down subtracts 2 from the y-coordinate. Since the coordinates of vertex A are (−3, 1), the coordinates corresponding to vertex A after translation are (−3 + 3, 1 − 2), or (0, −1).

P is 6 times Q, and Q is 2 less than 9 times R. Which of the following statements describes the relationship between P and R ? P is 2 less than 15 times R. P is 2 less than 54 times R. P is 12 less than 15 times R. P is 12 less than 54 times R. P is 18 less than 15 times R.

P is 12 less than 54 times R. Option (D) is correct. By translating each word expression, P is 6 times Q, or P=6Q and Q is 2 less than 9 times R, which means Q=9R−2. To describe the relationship between P and R, substitute the value of Q into P's equation. P=6QP=6(9R−2)P=54R−12 Therefore, P is 12 less than 54 times R.

A principal of a certain high school wants to ask a sample of students how they feel about a new school policy that will drop football as a varsity sport. Which of the following methods of selecting the sample will yield the most valid information about the feelings of all the students at the school? Interviewing twelfth-grade students on campus at random as they change classes Selecting a random sample of current football players Choosing two students at random from each science class on a given day Sending a questionnaire to all students currently enrolled and using the returned questionnaires as the sample Selecting a random sample from a list of all students currently enrolled at the school

Selecting a random sample from a list of all students currently enrolled at the school Option (E) is correct. A list of students currently enrolled gives a population where the group of students fit a particular description or set of conditions. Since the principal wants to ask a sample of students, a random sample where each member of this population has an equal chance of being included will give the principal an idea of what the entire population might look like.

The median and range of 15 measurements are 18 and 5, respectively. If 3 is subtracted from each of the 15 measurements, which of the following statements regarding the median and range of the modified 15 measurements must be true? The median and range will both decrease. The median and range will both stay the same. The median will stay the same, but the range will decrease. The median will stay the same, but the range will increase. The median will decrease, but the range will stay the same.

The median will decrease, but the range will stay the same. Option (E) is correct. The given median is 18 and the range is 5 for a set of measurements. If each number were to be reduced by 3, and since the median is a member of the set, it too would be reduced by 3. So the new median would be 15. The range is the largest number in the set minus the smallest number in the set. If the range was 5 before subtracting 3 from each member of the set, the range should still be 5 for the new set of numbers. The difference would be the same, hence the range is still 5.

Which of the following questions are statistical questions? Indicate all such questions. How long is Mike's foot? When do university students eat lunch? What is the weight of John's math textbook? How many coffee drinks do customers at a coffee shop order?

When do university students eat lunch? How many coffee drinks do customers at a coffee shop order? The correct answers are (B) and (D). A statistical question is a question that one would expect to get a variety of answers for and not just a single answer. (A) would give only a single answer for the length of Mike's foot and (C) would give only a single answer for the weight of John's math textbook, so they are not statistical questions. For (B) and (D), one would expect to get a variety of answers, so they are statistical questions.

4r+10b Question: The expression above represents the total amount, in dollars, earned by selling r rolls of gift wrap and b boxes of greeting cards. A freshman class earned a total of $958 by selling both gift wrap and greeting cards. The amount earned by selling the greeting cards is what fraction of the total amount earned? b/958 10b/958 r/958 4r/958 4r+10b/958

option b is correct. A freshman class earned a total of $958 selling gift wrap and greeting cards using the expression given, r=rolls + b=boxes of greeting cards = total dollars earned. 4r+10b=958 The amount earned by selling the greeting cards is Greeting cards / Total earned = 10b /958.

Jermaine promised to donate a total of z dollars to a charity by donating x dollars immediately and then donating a fixed constant amount of dollars each month for m months. Which of the following expressions represents the fixed constant amount of dollars Jermaine promised to donate each month? z−xm z−mx zx−m z−xm zm−x

z−x/m Option (D) is correct. The total amount that Jermaine promised to donate is z dollars. He will donate x dollars immediately and a fixed amount monthly over m months. The amount he will have left to pay after donating x dollars can be expressed as z−x. This amount is to be spread out over m months, so each month Jermaine would owe z−xm dollars to the charity.