1) Find two consecutive integers whose sum is 91. 2) Find two consecutive integers whose sum is -17.

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1 Station 1 Basic Algebraic Word Problems Review Questions: 1) Find two integers whose sum is 91. 2) Find two integers whose sum is ) Find three integers whose sum is 93. 4) Find three even integers whose sum is ) Find two odd integers whose sum is 28.

2 6) Find four odd integers whose sum is ) Find three integers such that twice the smallest is 12 more than the largest. 8) Find three even integers such that the sum of the smallest and twice the second is 20 more than the third. 9) Find four integers such that the sum of the second and the fourth is ) Find three odd integers such that the largest decreased by 3 times the second is 47 less than the smallest.

3 Station 1 1) Find three integers whose sum is ) Find four integers whose sum is ) Find three odd integers whose sum is ) Find three integers such that the sum of the first and third is 40. 5) Find two integers such that 4 times the larger exceeds 3 times the smaller by 23. 6) Find four odd integers such that the sum of the first three exceeds the fourth by 18.

4 11) Station 2 Review Questions: Solve for x: ) = 4x 24 2) The perimeter of a triangle is 48 centimeters. The lengths of the sides are in the ratio 3:4:5. Find the length of each side. 3) Two numbers are in the ratio 3:7. The larger exceeds the smaller by 12. Find the numbers. 4) In a basketball foul-shooting contest, the points made by Sam and Wilbur were in the ratio 7:9. Wilbur made 6 more points than Sam. Find the number of points made by each. 5) Willis scores an average of 7 foul shots in every 10 attempts. At the same rate, how many shots would he score in 200 attempts?

5 1 6) A train traveled 90 miles in 1 hours. At the same rate, how long will the train 2 take to travel 330 miles? 1 7) A recipe calls for 1 cups of sugar for a 3-pound cake. How many cups of sugar 2 would be used for a 5-pound cake? 8) The scale on a map is given as 5 centimeters to 3.5 kilometers. How far apart are two towns if the distance between two towns is 8 centimeters? 9) David received $8.75 in dividends on 25 shares of a stock. How much should Marie receive in dividends on 60 shares of the same stock?

6 Station 2 1) Two numbers have the ratio 7:5. Their difference is 12. Find the numbers. 2) The perimeter of a rectangle is 360 centimeters. If the ratio of its length to its width is 11:4, find the dimensions of the rectangle. 3) If 3 pounds of apples cost $0.89, what is the cost of 15 pounds of apples at the same rate? 4) If ½ pound of meat sells for $3.50, how much meat can be bought for $8.75? 5) There are about 17 calories in three medium-size shelled peanuts. Joan ate 20 such peanuts. How many calories were there in the peanuts she ate? 6) A house that is assessed for $12,000 pays $960 realty taxes. At the same rate what should be the tax on a house assessed for $16,500?

7 Station 3 Review Questions: 1) The square of a certain number minus 9 times the number is 36. Find the number. 2) The ratio of the measures of the length and width of a rectangle is 5:7. The area of the rectangle is 1,715 square feet. Find the dimensions of the rectangle. 3) The larger of two numbers is 5 more than the smaller. The product of the numbers is 204. Find the numbers. 4) Find two positive integers such that the square of the smaller increased by 4 times the larger is 64. 5) Joan s rectangular garden is 6 meters long and 4 meters wide. She plans to double the area of the garden by increasing each side by the same amount. Find the number of meters by which each dimension must be increased.

8 6) One leg of a right triangle is 1 centimeter longer than the other leg. The hypotenuse measures 5 centimeters. Find the measure of each leg of the triangle. 7) The ratio of the lengths of the legs of a right triangle is 7:24. The length of the hypotenuse is 50. Find the length of each leg of the triangle. 8) The perimeter of a rectangle is 54 centimeters, and its area is 140 square centimeters. Find the dimensions of the rectangle.

9 Station 3 1)The square of a number added to 3 times the number is 28. Find the number. 2) Find two positive numbers in the ratio 2:3 whose product is ) The product of two integers is 56. Find the integers. 4) Find three integers such that the product of the 2 nd and the 3 rd is 20. 5) Find two integers such that the sum of their squares is 61. 6) The sum of two numbers is 10. The sum of their squares is 52. Find the numbers.

10 Station 4 Review Questions: 1) Find two even integers whose sum is 86. 2) Find three integers such that the sum of the first two is 24 more than the third. 3) Mr. Burke had a sum of money in a bank. After he deposited an additional sum of $100, he had at least $550 in the bank. At least how much money did Mr. Burke have in the bank originally? 4) The length of rectangle is 10 centimeters less than 3 times its width. If the perimeter of the rectangle is at most 180 centimeters, find the greatest possible length of the rectangle. 5) The ratio of the number of boys in a school to the number of girls is 11 to 10. If there are 525 pupils in the school, how many of them are boys?

11 6) The numerator of a fraction is 8 less than the denominator of the fraction. The values of the fraction is 5 3. Find the fraction. 7) There are about 60 calories in 30 grams of canned salmon. About how many calories are there in a 210-gram can? 8) The weight of 20 meters of copper wire is 0.9 kilogram. Find the weight of 170 meters of the same wire. 9) The length of each of a pair of parallel sides of a square is increased by 2 meters, and the length of each of the other two sides of the square is decreased by 2 meters. The area of the rectangle formed is 32 square meters. Find the measure of one side of the original square. 10) The perimeter of a rectangle is 20 inches, and its area is 16 square inches. Find the dimensions of the rectangle.

12 Station 4 1) Find four even integers whose sum is 42. 2) Find two even integers such that twice the smaller is 26 less than 3 times the larger. 3) Find two numbers whose ratio is 4:1 and whose difference is 36. 4) If four tickets to a show cost $17.60, what is the cost of seven such tickets? 5) The length of a rectangular garden is 4 meters more than the width. The area of the garden is 60 square meters. Find the dimensions of the garden. 6) The product of two odd integers is 143. Find the integers.