You are Master of the Word
Be sure to read the directions in each problem.
1. Draw a sketch and solve! If the measure of one of two complementary angles is 21 less than twice the measure of the other, find the measure of each angle.
1. ANSWERS: “One angle”: 53˚ “Other angle”:37˚
2. Use R-E-S-A ! The sum of four consecutive integers is 238. Find the integers.
2. ANSWER: The numbers are 58, 59, 60, and 61.
3. Use R-E-S-A ! The sum of three consecutive odd integers is 111. Find the integers.
3. ANSWER: The numbers are 35, 37, and 39.
4. Find the measure of each side !
4. ANSWERS:
5. The length of a rectangle is 4 inches less than five times the width. The perimeter is 100 inches. Find the length.
5. ANSWER: Length = 41 inches (width not requested)
6. A 60 inch board is cut into two pieces such that the longer piece is 8 inches more than triple the shorter piece. Find the length of each piece.
6. ANSWER: Short piece = 13 inches Long piece = 47 inches
7. Find the length of each side. 14X + 12 P = 84 2x – 1 2x + 3 3x
7. ANSWERS: 14X + 12 P = 84 2x – 1 2x + 3 3x x = 3, so
8. Bart had to find 3 consecutive odd integers. He represented them with x, x + 1, and x + 3. What should he have done? Why?
8. ANSWER: What should he have done? Use x, x + 2, x + 4 Why? Odd #’s are TWO units apart.