Download Word Problems – Class Work Warm-up 1) Eight less than twice a

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Word Problems – Class Work
Warm-up
1) Eight less than twice a number is 10. Find the number.
2) If two-thirds of a number is increased by 10 the result is 60. Find the number.
Write as a variable:
1) Integer
2) Consecutive integer
3) Consecutive even/odd
____________
________________
________________
Exercise #1: Determine the next two consecutive integers in each case.
(a) -5, -4, -3, _____, _____
(b) 12, 13, 14, _____, _____
(c) x, _________, _________
(Assume x is an integer.)
Exercise #2: Determine the next three consecutive even integers in each case.
(a)-18, -16,-14, _____, _____
(b) 20, 22, _____, _____
(c) x, _________, _________
(Assume x is an even integer.)
Exercise #3: Determine the next three consecutive odd integers in each case.
(a) -13, -11, -9, _____, _____
(b) -5, -3, -1, _____, _____
(c) x, _________, _________
(Assume x is an odd integer.)
Exercise #4: If x +3 represents an integer, then the next consecutive integer in terms of x is
(1) x
(2) x +2
(3) x +4
(4) x +5
Exercise #5: If x - 4 represents an odd integer, then the next consecutive odd integer in terms of x is
(1) x - 6
(2) x - 4
(3) x - 3
(4) x - 2
Exercise #6: If x + 2 represents an odd integer, then the next larger even integer in terms of x is
(1) x + 4
(2) x + 3
(3) x + 1
(4) x
Exercise # 7 The average of four consecutive odd integers is 40. Find the numbers.
Exercise #8: Find two consecutive integers such that their sum is 89. Only an algebraic solution will be
accepted.
Exercise #9: Find two consecutive integers such that the larger is nine more than twice the smaller.
Exercise #10: Find three consecutive even integers such that the sum of twice the first and three times the
third is fourteen more than four times the second.
Exercise #11: Three sisters have ages that are consecutive odd integers. Find the ages if the sum of
the age of the youngest and three times the age of the oldest is five less than five times the middle
sister’s age.
Exercise #12: Find three consecutive odd integers such that eight more than the sum of the first two is
equal to eleven less than three times the third.
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