Order of Operations
What does P.E.M.D.A.S stand for?
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior classes at high school A rented and filled 9 vans and 1 bus with 97 students. High school B rented and filled 8 vans and 2 buses with 114 students. Each van and bus carried the same number students. Find the number of students in each van and bus.
Vans is 8 and Bus is 25 students each.
Isabella drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers can she drive with 12 liters of fuel.
She can drive 132 kilometers.
A student had to be chosen from Mrs. Luthy's class. There were 11 boys and 11 girls in total in her class. The teacher wrote their names on separate pieces of paper, and then took out one of the papers without looking. What is the probability of selecting a boy?
The probability of selecting a boy 11/22, so P = 0.5.
A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch, the area will be 60 square inches. What were the dimensions of the original rectangle?
The dimensions of the original rectangle are 4 and 16.
12-4+32
40
Erin's school is selling tickets to a play. On the first day they were sold 7 adult tickets and 12 student tickets for $151. The school took in $62 on the second day by selling 4 adult tickets and 2 student tickets. Find the price of an adult ticket and an student ticket.
Adult is $13 and students is $5
Amel was planning a trip to the United Arab Emirates. Before going, she did some research and learned that the exchange rate is 4 Dirhams for every $1. How many Dirhams would she get if she exchanged $5?
The answer is 20 Dirhams
Hudson was given two bags full of goodies. There were 10 chocolate bars and 5 mint candies in bag A. There were 7 chocolate bars and 2 strawberry mini-pies in bag B. He wanted to eat a chocolate bar. From which bag should she take the candy (so that the probability of taking a chocolate bar was greater)?
She should take a candy from bag B, because P (A) = 0.67 < P (B) = 0.78
In a quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60° less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
The values of the angles are 35°, 35°, 70° and 220°
Rowan bought 4 shirts and 3 hats. Each shirt is $45 and each hat is $29. She has pay tax which is 12%. She has a coupon which is 30% off. How much money does she have to pay after the tax and coupon?
She has to pay 209.328
The school that Paris goes to is selling to a band performance. On the first day of ticket sales they sold 3 senior tickets and 14 child tickets for a total of $187. The school took in $231 on the second day by selling 13 senior tickets and 8 child tickets. Find the price of the senior ticket and the child ticket.
Senior is $11 and child is $11.
Julissa took a trip to China. Upon leaving she decided to convert all of her Yuan back into dollars. How many dollars did she receive if she exchanged 16 Yuan at a rate of 8 Yuan for $1?
The answer is $2
The compact disk Jane bought had 12 songs. The first four were rock music. Tracks number 5 through 12 were ballads. She selected the random function in her Compact Disk Player. What is the probability of first listening to a ballad?
The probability of listening to a ballad is 8/12, so P = 0.67.
A washing machine is packaged in a box that is one meter wide, 1.5 meters long and 1.75 meters tall. What is the surface area of the box?
The box has a surface area of 11.75 square meters.
Yana has to pay the electricity and water bill. The water bill is $437 and the electricity bill is 3 times the 1/4 of the water bill. She also has to pay $73 since she was late for 3 weeks. How much money does she have to pay in all?
She has to pay $837.75.
Parker and Rowan each improved their yards by planting ivy and roses. They bought their supplies from the same school. Parker spent $78 on 6 roses and 8 pots of ivy. Rowan spent $123 on 9 roses and 13 pots ivy. What is the cost of 1 pot of ivy and 1 rose
Roses are $5 and pots of ivy are $6
DeAsia was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
18 Tala
Mike’s class made a project about pets. There were 21 students in his class. Nine had dogs, five had only cats, three had cats and hamsters and the rest had no pets at all. They randomly picked out a name.
a) What was the probability that that student had a dog?
b) It turned out the student didn’t have any pets. They randomly picked out a second name (excluding the first chosen). What was the probability that that student had at least a cat?
a) The probability that the student had a dog is 9/21, so P = 0.43.
b) The probability that the student had at least a cat is 8/20, so P = 0.4.
Two boxes with the same volume contain soap for a fund raiser. Box A is 8 inches tall, 2 inches wide, and 6 inches deep. Box B is 9 inches tall, 3 inches wide, and 4 inches deep. Which box style has more surface area?
Box A has a surface area of 152 square inches. Box B has a surface area of 150 square inches. Box A has more surface area.
Bassmala earned $93 after mowing 3 lawns. She has to give 40 dollars to her friend. She also wants to buy new shoes for $450 how many lawns should she mow to get the money?
She has to mow 18 lawns
Eduard and David are selling cookie dough for a school fundraiser. Eduardo sold 1 pack of white chocolate chips cookie dough and 4 packs of oatmeal cookie dough for a total of $32. David sold 11 packages of chocolate chips cookie dough and 2 packages of oatmeal cookie dough. What is the cost of one package of white chocolate chips cookie dough and oatmeal cookie dough?
White chocolate chips cookie dough= $4
Oatmeal cookie dough= $7
Abdul took a trip to Mexico. Upon leaving he decided to convert all of his Pesos back into dollars. How many dollars did he receive if he exchanged 42.7 Pesos at a rate of $5.30 = 11.1 Pesos?
$20.39
Thomas had a bag with 30 marbles: 12 blue, 7 red, 5 white and the rest were gray. a) He took a marble. What is the probability that it is a blue marble? b) If he puts the marble back and takes another one, what is the probability of taking a red one? c) Thomas took a grey marble and didn’t put it back. What is the probability of taking another grey marble immediately after that?
a) The probability of taking a blue one is 12/30, so P = 0.4
b) The probability of taking a red one is 7/30, so P = 0.23.
c) The probability of taking a gray one is 5/29, so P = 0.17.
Sydney’s senior picture package includes several sizes of portraits. The smallest photo is a 1.5-inch wide and 2-inch tall rectangle. The largest photo is 12 inches wide and is similar to the smallest photo. How tall is the largest photo?
The photo is 16 inches tall.