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What Did Mrs. A The second of three numbers is 8 more than the first, and the third number is 3 less than 3 times the fist If the third number is 15 more than the second, find the three numbers.
If Wilt scored 20 points 24, 20 more than Julius, how many points were scored by each player? Cars, Inc. Since then Grok has gained 9 kg and his mother has lost 4 kg. Now his mother weighs only twice as much as Grok. Find their weights now. The length of the first rectangle is 4 cm more than the length of the second. The width of the first is 9 cm; the width of the second is 6 cm. If the area of the first rectangle is 96 cm?
Find your solution in the answer column and notice the three letters next to it. Write these letters in the three boxes at the bottom of the page that contain the number of that problem. Klinker is 36 and his daughter is Klinker be twice as old as his daughter? Gearge is 7 and his mother is In how many years will his mother be 3 times as old as he is?
Pete is 14 and his grandfather is How many years ago was his grandfather 6 times as old as Pete? Dorothy is 14 years younger than Rita. Ten years ago, Rita was 3 times as old as Dorothy was then How old is each now? Ford exactly twice as old as Ms. Steve is 5 times as old as Janis. In 12 years, he will be twice as old as she will be then. How old are they now? Ford is 48 and Ms. Lincoln is Sam is twice as old as Mary. The sum of their three ages is 8 times Toni's age.
How old are they? Find your solution in the answer column and notice the letter next to it. When you finish, write the remaining letters in the rectangle at the bottom of the page. The second of two numbers is 7 times the first. Find the first nurnber. The sum of their scores is The sum of three numbers is The first day, they hiked 1 km less than 3 60, times as far as the second day. The third day, they hiked 2 km less than the first day.
Together they worked 87 hours. Larty is 10 meters behind Perry. Jerry is 30 meters ahead of Terry. Perry is 50 meters behind Jerry. At this point in the race, who is winning?
Who is second? What is the weight of a fish if it weighs 10 pounds, plus hall its weight? The cake is then cut up into cubes, each measuring 1 unit an an edge.
How many of these cubes will have exactly one face frosted? Homer is giving some cookies to each ot his three brothers. To the oldest, he gives half of the cookies and half a cookie. He then gives half of what is left and half a cookie to his second brother.
Finally, he gives halt of what is now leit and half a cookie to his youngest brother. At no time is a cookie broken or cut, How many cookies did Homer have to begin with? HINT: Work backwards. By moving just two toothpicks, reconstruct the glass so that the cherry, which may not be moved, winds up outside.
The glass may be reconstructed on its side or even upside down, but must have the same shape. When the time is , how many degrees are there in the acute angle between the minute hand and the hour hand on a clock? Annabel Zonk has discovered something interesting about her first name. Wnat digit should replace each letter? The teacher happened to notice that there were a total of 70 heads and legs.
How many chickens and how many pigs where there? Where Will Campers Sleep in 20 Years? Do each exercise below, following the directions given for each section. Select your answer from the two choices given and circle the letter next to it. Write this letter in the box at the bottom of the page that contains the number of that exercise. QY 7x9? Evaluate each formula below for the given values of the variables.
Find each answer at the bottom of the page and cross out the letters above it. When you finish, the answer to the title question will remain. Use 3. Cross out the box that contains your answer.
When you finish, write the letters from the remaining boxes in the squares at the bottom of the page. Merrill has 3 times as many nickels as dimes. How many of each coin does he have? Lynch has 21 coins in nickels and dimes.
How many of each coin does she have? How many of each coin are there? There are 16 coins in all. Joe Lick bought some cent and cent stamps. How many stamps of each kind did he buy? How many tickets of each kind were sold? Romeo bought a mixture of cent, cent, and cent valentines. The number of cent valentines was 1 more than twice the number of cent valentines, and the number of cent valentines was 2 less than the number of cent ones. Solve each problem below and find your solution at the bottom of the page.
Write the letter of that exercise above the solution. After how many hours were the trucks km apart? How many hours had the lirst truck traveled when they were km apart? Steve McSpoke left home on his bicycle at A. How long had Steve traveled when his brother overtook him? In Exercise N, how far had Steve traveled when his brother overtook him? Pepper left Oakville at A. Salt left Oakville at AM. If both men arrived in Central City at P.
Salt travel? If the jets pass each other after 2. She returned home by bicycle at 16 kmh. The entire trip took 4 hours, How far was the service station from Ms. A plane on a search mission flew east from an airport, turned, and flew west back to the airport.
The plane was in the air for 7 hours. How far from the airport did the plane travel? How tar upstream can the boat travel if it leaves at A. Write the letter of your answer in the box that contains the number of that exercise. Find the missing factor in each exercise below. Find your answer in the set of answers to 7 the right of that exercise.
Write the letter next to your answer in the box containing the number of that exercise. Circle these two factors in each row.
Notice the number and letter above each circled factor. Put the letter in the matching numbered box at the bottom of the page. What do you get when you cross a chicken with a centipede?
What do you get when you cross a mink with an octopus? Find your answer and notice the letter next to it. Each time the exercise number appears in the code, write this letter above it. Do each exercise below and find your answer in the set of answers to the right of that exercise. Write the letter of your answer in the box containing the number of that exercise.
A 12x? A 15x? What Is the Title of This Picture? Solve each equation below. Find the solution set in the answer list and notice the letter next to it.
Y Keep working and you will decode the title of the picture. Find your answer in the answer column and notice the word next to it. Write this word in the box containing the letter of that exercise. Keep wor'ing and you will hear about something hot. The area is 70 cm?. Find the dimensions of the rectangle. The length of a rectangle is 4 cm more than the width.
The area is 96 cm?. The length of a photograph is 1 cm less than twice the width. The area is 45 cm?. Find the dimensions of the photograph. If the sides of a square are increased by 3m the area becomes 64 m?. Find the length of a side of the original square. A square field had 5 m added to its length and 2m added to its width.
The field then had an area of m2. Find the length of a side of the original field, The dimensions of a rectangular garden were 4m by Sm. Each dimension was increased by the same amount. Find the dimensions of the new garden. Hint: Let x be the amount of increase. The dimensions of a rectangular garden were 3m by 10m. When both dimensions were increased by equal amounts, the area of the garden doubled.
What are the dimensions of the room? Simplify each expression below and find your answer at the bottom of the page. Cross out the letter above each correct answer. When you finish, the answer to the title question will remai Ox x? Why Does the U. Mint Need a New Building?
For each exercise below, use the clue to help unscramble the letters of the word in parentheses. Then write this word in the adjacent boxes. One or more of the boxes has a number.
Whenever you write a letter in a numbered box, transfer that letter to the matching numbered box at the bottom of the page A symbol used to represent a number BARELAVI.
Unfortunately, not all the towns as tall as the tree? FL They are the ringmaster, lion tamer, ialiear wera NE Randarcieaen and clown, though not necessarily in connected to only three towns. There is a line from Town D to 1. Zed has red hair Town F. To what towns is Town E 2. Rollo has curly hair. The ringmaster is shorter Be ec than Rollo. They came In the following multiplication problem, to a river which they had to cross.
There the letters A, B, C, and D represent ues fst ong oat and ion twocourl four different digits. What digit should Cross at one time. Since the husbands replace each letter? How did they get across x4 the river?
How many cartons of each shauld be stocked if there is space for 80 cartons? The perimeter of the poster is cm Find its dimensions. Solve each problem and find your answer in the rectangle below. When you finish, write the letters from the remaining boxes in the spaces at the bottom of the page.
If there are calories in 8 ounces of meat, how many calories are in 3 ounces of meat? How much water will the hose deliver in 10 minutes? If a person weighs pounds on Earth, how much would the person weigh on Mars?
If an algebra student 1. How many kilograms of copper must be combined with 4 kilograms of nickel in the manufacture of nickel coins? If there are men, how many women are there? Of the residences surveyed, the program had been seen in Assuming that this was a representative sample, estimate the total number of households in the town in which the program was viewed.
What do you get when you cross an absent-minded elephant with a small flea? Answer; What do you get when you cross a shark with a snowball? Answer: Solve each equation below and find the solution in the code. Find your answer in the answer column and notice the two letters next to it. Write these letters in the two boxes that contain the number of that exercise. Two thirds of a number is 3 more than three eighths of the number.
Find the two integers. One third of the boys and three fourths of the girls love pizza. If 9 students love pizza, how many girls and how many boys are in the class?
Three years ago, uill's age was two fifths of Will's age then. How old is each now? Sleeping Bag: 1 1 Twins: 2 1 90 1. Buckshot: 1. Each time this answer appears in the code, write the letter of the exercise above it. Find your answer in the answer column and notice the letter next to it. Klutz got 10 out of 16 problems on an algebra test correct. What percent were correct? A team won 13 games, lost 15 games, and tied 2 games. What percent of its games did the team win?
A steel cable expands 0. How much longer will a meter cable become with this increase in temperature? Elmo Buckets made 54 out of 80 free throws. What percent did he miss? Find the percent of increase in price. The number of students attending Sky High Schoo! What was the percent of increase? Find the percent of decrease. During June a car dealer sold new cars.
How many cars did he sell in July? Find the percent of increase. Assume that all interest rates indicate annual simple interest. Write these letters in the three boxes that contain the number of that exercise.
If the annual return from the two investments is the same, how much is invested at each rate? How much is invested at each rate? Solve each problem below and find the solution at the bottom of the page. Solve each problem below and find the solution in the answer column. Notice the letter next to it. Use the slope and y-intercept to graph each equation below. The graph, if extended, will cross a letter.
Print this letter in each box that contains the number of that exercise. Graph each equation below. Then write this letter in that contains the number of that exercise.
For each exercise below, find the equation of the line passing through the given points. Circle the two letters next to the correct equation. Then write these letters in the two boxes at the bottom of the page that contain the number of that exercise.
Why Are There Rules in Croquet? Solve each problem below using a system of two equations in two variables. Find the solution in the answer column and notice the three letters next to it. Write these letters in the three boxes at the bottom of the page that contain the number of that exercise.
Their difference is The second of two numbers is 4 more than the first. The sum of the numbers is If there are students all together, 38, 52 BEC how many girls are there? The sum of the numbers is 44, Find the numbers. If the larger is increased by four times the smaller, the result is The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream.
The pie and ice cream together have calories. How many calories are in each? The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is — Did You Hear About Solve each system of equations below using multiplication with the addition method. Find the solution in the answer column and notice the word next to it.
Find the solution in the answer column and notice the letter next to it. Write this letter in each box that contains the number of that exercise. The difference between two numbers is Five times the smaller is the same as 8 less than twice the larger. The larger of two numbers is 1 more than twice the smaller.
The sum of the numbers is 20 less than three times the larger. Find the cost of each record and each tape. The sum of two numbers is the same as four times the smaller number.
If twice the larger is decreased by the smaller, the result is What is the price of a hamburger? A shipment of TV sets, some weighing 30 kg each and the others weighing 50 kg each, has a total weight of kg, If there are 20 TV sets all together, how many weigh 50 kg?
Solve each problem using a system of two equations in two variables. A boat travels 60 km upstream against the current in 5 hours. The boat travels the same distance downstream in 3 hours. What is the rate of the boat in still water? What is the rate of the current?
When a plane flies into the wind, it can travel km in 6 hours. When it flies with the wind, it can travel the same distance in 5 hours. Find the rate of the plane in still air and the rate of the wind When Lucy swims with the current, she swims 18 km in 2 hours.
How fast can Lucy swim in still water? Downstream, it travels the same distance in haif the time. What is the rate of the canoe in still water and the rate of the current? Against the wind, it can fly only two thirds of this distance in 10 min.
How fast could the duck fly in still air? What is the rate of the wind? With the wind, a plane flew km in 4 hours. On the return trip, the pilot was forced to land after 1h 30 min, having traveled only km. Find the rate of the plane in still air and the rate of the wind. A salmon swims m in 8 min downstream. Upstream, it would take the fish 20 min to swim the same distance.
What is the rate of the salmon in still water? Circle your answer in the answer list. When you finish, arrange the letters of the correct answers in order, from the letter of the smallest correct answer to the letter of the largest correct answer.
Write the letters in this order in the boxes at the bottom of the page. The sum of the digits of a two-digit number is 9. The value of the number is 12 times the tens digit. If 15 is added to the number, the result is 6 times the units digit. The sum of the digits of a two-digit number is 8. Find the number The units digit of a two-digit number is 4 times the tens digit.
If he digits are reversed, the new number is 54 more than the original number. If The sum of the digits of a two-digit number s If 27 is added to the number, the digits will be reversed. If the digits are reversed, the new number is 45 more than the original number.
Q ita brick balances evenly with three quarters of a pound and three quarters of a brick, what is the weight of a whole brick? How can 3 pins be moved so that the 10 pins are still set up in the conventional manner but with the point of the triangle away from the bowler? Each dart scores either 3 points or 8 points. Suppose you can throw as many darts as you like, and your score is obtained by adding all the 3s and Bs together. Make a list of all the scores that are impossible to attain.
Its head was 5 inches long, The tail was as long as the head plus halt the body. The body was as long as the head plus the tail. How long was the fish? A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of Determine which of the relations below are functions. Find the number of each relation that is a function at the bottom of the page and cross out the letter below it. Follow the directions given for each section.
Cross out each box in the rectangle below that contains a correct answer. When you finish, print the letters from the remaining boxes in the spaces at the bottom of the page. The quantity of gasoline consumed in the U. The distance from the starting line of a Tunner in the meter dash is a function of the time since the start.
The height above ground of a cannor: ball shot from a cannon is a function of the time since it was shot. Height Time you suppose this is the case? What is the domain of this function? What is the range?
Describe the domain of this function. Describe the range. What is the significance of the point where the graph crosses the horizontal axis? Time sec D. The profit from a restaurant is a function of the number of meals that are served. The cost per month of owning a car is B. The temperature in an oven set at a function of the number of miles driven. The time it takes to ride a bicycle D. The cost of postage for a first-class miles is a function of the average speed. Why does the graph have a positive slope?
GRAPH C: How long does it take to ride a bicycle miles at each of the following speeds: 5 mph, 10 mph, 15 mph, 20 mph, 25 mph? What is always true about the product speed x time? Why is a hollow circle needed at the beginning of each step except the first? Use your knowledge of the relationships described At a fixed price per ounce, the cost of buying gold is a function of the number of ounces you buy.
Cost Number of ounces The total cost of operating a lemonade stand is a function of the amount of lemonade sold. Time The profit from operating a lemonade stand is a function of the amount of lemonade sold. Amount sold The height of a ball that is dropped from a height of 10 feet is a function of the time since it was dropped. Find your answer in the answer column and notice the two leiters next to it.
NOTE: Each constant of variation is given in decimal form, unless it equals a repeating decimal. Then, it is left as a fraction in lowest terms.
The amount of interest, y, paid on a loan is directly proportional to the amount borrowed, x. Why does the graph of an equation expressing direct variation always pass through the origin? As k increases from 0. Describe the graph when k is negative.
What is the meaning or significance of k in the equation for Exercise 9? For Exercise 10? For Exercise 11? The amount of money earned en a job is directly proportional to the number of hours worked. The height that a ball bounces varies directly with the height from which it is dropped. A certain ball bounces 30 cm when dropped from a height of 50 cm. How high will the ball bounce if dropped from a height of cm? If a spring is stretched 10 cm by a weight of 8 kg, how much will it be stretched by a weight of 3 kg?
If there are calories in an 8-ounce glass of milk, find the number of calories in a ounce glass of milk. A person with a mass of 90 kg contains 60 kg ot water. How many kilograms of water are in a person with a mass of 50 kg? If two cities are 7 cm apart on the map, what is the actual distance between them? If 4 pounds of fertilizer are needed for square feet of lawn, how much is needed for Dr. Find your answer in the answer column and notice the letters next to it. Write these letters in the boxes at the bottom of the page that contain the number of that exercise.
For rectangles with the same area, the length varies inversely as the width. One rectangle has a length of 12 cm and a width of 5 cm. Find the length of another rectangle with the same area whose width is 4 om cm The current in an electrical circuit varies inversely as the amount of resistance in the circuit.
The current is 10 amps when the resistance is 24 ohms. The balloon rises. A lift has 70 chairs when they are spaced 24 m apart. If 80 evenly-spaced chairs are used on the lif, how much space will be left between them?
A wire 0. How long is a wire that vibrates times per second?
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