Day 14 Consecutive Integer Word Problems Day #1.notebook
9/29
Aim: How do we solve consecutive integer word problems?
Do Now: Finish Pg. 6
Hw: Pgs. 10­11
September 29, 2016
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
6) Lana has an older sister and a younger sister. Her older sister is one year more than twice Lana's age. Lana’s younger sister is three years younger than she is. The sum of their three ages is 26. Find Lana’s age.
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
7) The perimeter of the square is equal to the perimeter of the triangle. What are the side lengths of each figure? What is the perimeter of each figure?
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
Write an equation and solve.
1) Wade purchased three videos and one music CD. The CD cost Wade $12.99. If he paid the same amount for each video and spent a total of $42.96, how much did each video cost?
let n = cost of a video
Each video costs $9.99
3n + 12.99 = 42.96
­ 12.99 ­ 12.99
3n = 29.97
3 3
n = 9.99
2) At the market, Josh bought a bunch of bananas for $0.35 per pound and a frozen pizza for $4.99. The total for Josh’s purchase was $6.04 without tax. How many pounds of bananas did Josh buy?
0.35n + 4.99 = 6.04
­ 4.99 ­ 4.99
0.35n = 1.05
0.35 0.35
Josh purchased 3 pounds of bananas
n = 3
let n = pounds of bananas
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
3) Mrs. Jones went to the store to buy gardening supplies. A bag of dirt was $3.99 and tulips cost 75 cents per bulb. She bought one bag of dirt and some tulip bulbs and spent a total of $12.24 without tax. How many bulbs did Mrs. Jones buy?
0.75n + 3.99 = 12.24
­ 3.99 ­3.99 .75n = 8.25
.75 .75
Mrs. Jones purchased 11 bulbs
n = 11
let n = # of bulbs
4) Zoe is comparing two local yoga programs. Yoga­Weigh charges $90 dollars a month and a registration fee of $35. Essence of Yoga charges $80 per month with a $75 registration fee. After how many months will the two schools charge the same amount?
90n + 35 = 80n + 75
let n = # of months
­80n ­80n
10n + 35 = 75
The schools charge the ­ 35 ­ 35
10n = 40
same amount after
10 10
4 months.
n = 4
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
5) Does the equation 8x + x + 10 = 3(3x + 5), have one solution, no solution, or infinite solutions?
9x + 10 = 9x + 15
no solution
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
1) Determine the next two consecutive integers in each case.
(a) ­5,­ 4,­ 3, ____, ____ (b) 12,13,14, ____, ____ (c) x, ________, _________
2) Determine the next three consecutive even integers in each case.
(a) ­18,­16,­14, ____, ____ (b) 20, 22, ____, ____ (c) x, ________, _________
3) Determine the next three consecutive odd integers in each case.
(a) ­13, ­11, ­9, ____, ____ (b) ­5, ­3,­1, ____, ____ (c) x, ________, _________
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
4) If x + 3 represents an integer, then the next consecutive integer in terms of x is
a) x b) x + 2
c) x + 4
d) x + 5
5) If x – 4 represents an odd integer, then the next consecutive odd integer in terms of x is:
a) x – 6
b) x – 4
c) x – 3
d) x – 2
6) If x + 2 represents an even integer, then the next consecutive even integer in terms of x is:
a) x + 4
b) x + 3
c) x + 1
d) x
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
7) Find two consecutive integers such that their sum is 89. Only an algebraic solution will be accepted.
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
8) Find three consecutive integers whose sum is 84. Only an algebraic solution will be accepted.
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
9) Find two consecutive odd integers whose sum is 232. Only an algebraic solution will be accepted.
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
10) Find 3 consecutive integers such that the sum is 201. Only an algebraic solution will be accepted.
Day 14 Consecutive Integer Word Problems Day #1.notebook
September 29, 2016
11) Find 3 consecutive even integers such that the sum is 264. Only an algebraic solution will be accepted.