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100
The length of a rectangular map is 5 inches and the perimeter is 40 inches. Find the width
equation: 2x+ 10 = 40 or 10 + 2x = 40, therefore, the width is 20.
100
Huong had $23 to spend on six notebooks. After buying them she had $11. How much did each notebook cost?
6x + 11 = 23 or 23 - 11 = 6x, therefore x = $2
100
Three less than five times a number is seventeen.
5x - 3 = 17 x = 4
100
A family purchased tickets for a concert. They paid a total of $156 for 10 adult tickets and 9 child tickets. The price of a child ticket was one-third the price of an adult ticket. The following equation represents this situation. 9(1/3 x) + 10x = 156 What does x represent ? What does 9 represent ? What does 156 represent?
x is the cost of an adult ticket 9 is the number of child tickets 156 is the total amount spent on tickets
100
The sum of three consecutive numbers is 42. What is the middle number?
x + x + 1 + x + 2 = 42 or 3x + 3 = 42. Therefore, middle number is 14.
200
Jose has a board that is 44 inches long. He wishes to cut it into two pieces so that one piece will be 6 inches longer than the other. How long should the shorter piece be?
x + x + 6 = 44 or 2x + 6 = 44 or x + x - 6 = 44 or 2x - 6 = 44, therefore the shorter piece should be 19.
200
Mary won 86 pieces of gum playing basketball at her school's game night. Later, she gave three to each of her friends. She only has 8 remaining. How many friends does she have?
3x + 8 = 86 or 86 - 8 = 3x. Therefore, x = 26 friends
200
Five times a number minus 4 is six.
5x - 4 = 6 x = 2
200
The longest side of a triangle is six more units than the shortest side. The third side is twice the length of the shortest side. If the perimeter of the triangle is 26 units, find the lengths of all three sides of the triangle.
x + 6 + x + 2x = 26 4x + 6 = 26 5, 10, 11
200
Three consecutive integers are such that three times the smallest integer is 18 more than the largest. Find the integers.
3x = 18 + x + 2 3x = 20 + x 10, 11, 12
300
At the end of the day, a pharmacist counted and found she has 4/3 as many prescriptions for antibiotics as she did for tranquilizers. She had 84 prescriptions for the two types of drugs. How many prescriptions did she have for tranquilizers?
4/3 x + x = 84 or 7/3 x = 84, therefore x = 36 tranquilizers
300
4. In August, Cory begins school shopping for his triplet daughters. a. One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for
2.50(10) + 3d = 135.97 or 3d + 2.50(10) = 135.97 10(2.50) + 3d = 135.97 or 3d + 10(2.50) = 135.97 or 25 + 3d = 135.97 or 3d + 25 = 135.97. Therefore
300
Three less than a number divided by 4 is five.
n/4 - 3 = 5 n = 32
300
On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the highest grade?
x + x + 42 = 138 2x + 42 = 138 The highest grade is 90.
300
What three consecutive odd integers have a sum of 129?
n + n + 2 + n + 4 = 129 3n + 6 = 129 41, 43, 45
400
The perimeter of a triangular lot is 72 meters. One side is 16 meters, and the other side is twice the first side. Find the length of the third side
16 + 2(16) + x = 72 or 16 + 32 + x = 72 or 48 + x = 72. Therefore, x = 24 meters
400
Willie had some paper with which to make note cards. On his way to his room he found four more pieces to use. In his room he cut each piece of paper in half. When he was done he had 24 half-pieces of paper. With how many sheets of paper did he start?
2(x + 4) = 24 x + 4 = 12 2x + 8 = 24 x = 8 sheets
400
Seven less than a number divided by 3 is five.
n/3 - 7 = 5 n = 36
400
A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $1 for every pot that is delivered safely. The moving company must pay the florist $4 each for any pots that are lost or broken. If two pots are lost, four pots are broken, and the rest are delivered safely, how much should the moving company be paid? No equation needed on this one!
748
400
What four consecutive integers have a sum of 74?
n + n + 1 + n + 2 + n + 3 = 74 4n + 6 = 74 17, 18, 19, 20
500
Karin’s mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow. Together, Betty and Bessie produced 1464 gallons of milk. How many gallons did each cow give?
2x - 375 + x = 1464 or x + 2x - 375 = 1464 3x - 375 = 1464, therefore Bessie = 613 and Betty = 851.
500
A salesman bought a case of 48 backpacks for $576. He sold 17 of them for $18 at the swap meet, and the rest were sold to a department store for $25 each. How much was the salesman's profit? An equation would be impressive here, but I really just want you to find the amount of the profit.
306 + 775 - x = 576 1,081 - x = 576 306 + 775 = 576 + x 1,081 = 576 + x profit = $505
500
Two times a number minus 3 is fifteen.
2x - 3 = 15 x = 9
500
The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. There are four fewer tuba players than there are trombone players, but three more members play the French horn than play the trombone. The band director, his assistant, and six parent volunteers are also going. How many seats are needed on the bus? No equation needed on this one!
76
500
Three consecutive odd integers are such that three times the smallest is 14 more than the largest. Find the smallest integer.
3x = 14 + x + 4 or 3x = 18 + x or 2x = 18, therefore x = 9. The smallest integer is 9.