equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s -...
TRANSCRIPT
![Page 1: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/1.jpg)
Equations with variables on each side.
-2 + 10p = 8p -1 p = 0.5
3w + 2 = 7ww = 1/2
s/2 + 1 = ¼ s - 6 s = -28
8 + 5s = 7s - 2s = 5
![Page 2: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/2.jpg)
Variables Both Sides
Grade:Subject:Algebra
Date:
![Page 3: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/3.jpg)
1 20c + 5 = 5c + 65
![Page 4: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/4.jpg)
2 (3/8) - (1/4)t = (1/2)t - (3/4)
![Page 5: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/5.jpg)
·4(2r - 8) = (1/7)(49r + 70) r = 42
·8s - 10 = 3(6 - 2s)s = 2
·7(n - 1) = -2(3 + n)n = 1/9
![Page 6: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/6.jpg)
Distribute
Grade:Subject:Algebra
Date:
![Page 7: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/7.jpg)
1 3(a - 5) = -6
![Page 8: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/8.jpg)
2 6 = 3 + 5(d - 2)
![Page 9: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/9.jpg)
·2m + 5 = 5(m - 7) m = (40/3)
·3(r + 1) - 5 = 3r - 2 identity; true for all
values of r
·7x + 5(x - 1) = -5 + 12x all numbers
·6(y - 5) = 2(10 + 3y) no solution
![Page 10: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/10.jpg)
Grade:Subject:Algebra
Date:
None or All Numbers
![Page 11: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/11.jpg)
1 5 + 2(n + 1) = 2n
A no solutions
B all real numbers
C 4
![Page 12: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/12.jpg)
2 7 - 3r = r - 4(2 + r)
A no solutions
B all numbers
C 1
![Page 13: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/13.jpg)
3 14v + 6 = 2(5 + 7v) - 4
A no solution
B all numbers
C 0
![Page 14: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/14.jpg)
4 5h - 7 = 5(h - 2) + 3
A no solution
B all numbers
C 0
![Page 15: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/15.jpg)
Extra Equation Practice
·One half of a number increased by 16 is four less than two thirds of the number. Find the number. 120
·The sum of one half of a number and 5 equals one third of the number. What is the number?- 30
· Two less than one third of a number equals 3 more than one fourth of the number. Find the number. 60
·Two times a number plus 6 is three less than one fifth of the number. What is the number?- 5
![Page 16: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/16.jpg)
![Page 17: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/17.jpg)
![Page 18: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/18.jpg)
At a local gym, there is a joining fee of $59.95 and a monthly membership fee. Sara and Martin both joined this gym. Their combined cost for 12 months was $1319.90. How much is the monthly fee?
$50
![Page 19: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/19.jpg)
Lily and 4 of her friends want to enroll in a yoga class. After enrollment, the studio requires a $7 processing fee. The 5 girls pay a total of $125.75. How much does the class cost?
$18.15
![Page 20: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/20.jpg)
Four times Greg's age, decreased by 3 is equal to 3 times Greg's age, increased by 7. How old is Greg?
10 years old
![Page 21: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/21.jpg)
The long-distance phone rates of two phone companies are shown in the table. How long is a call that costs the same amount no matter which company is used? What is the cost of that call?
The cost of a 12-minute call through either company is $0.72.
![Page 22: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/22.jpg)
Joe and Sara are planting tulip bulbs. Joe has planted 60 bulbs and is planting at a rate of 44 bulbs per hour. Sara has planted 96 bulbs and is planting at a rate of 32 bulbs per hour. In how many hours will Joe and Sara have planted the same number of bulbs? How many bulbs will that be?
3 hours; 192 bulbs
![Page 23: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/23.jpg)
Justin and Tyson are beginning an exercise program to train for football season. Justin weighs 150 lbs and hopes to gain 2 lbs per week. Tyson weighs 195 lbs and hopes to lose 1 lb per week. If the plan works, in how many weeks will the boys weigh the same amount? What will that weight be?
15 weeks; 180 lbs.
![Page 24: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/24.jpg)
Equation Practice
Grade:Subject:Algebra
Date:
![Page 25: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/25.jpg)
1 3k - 5 = 7k - 21
![Page 26: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/26.jpg)
2 5t - 9 = - 3t + 7
![Page 27: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/27.jpg)
3 8s + 9 = 7s + 6
![Page 28: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/28.jpg)
4 3 - 4q = 10q + 10
![Page 29: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/29.jpg)
5 (3/4)n + 16 = 2 - (1/8)n
![Page 30: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/30.jpg)
6 1/4 - (2/3)y = 3/4 - (1/3)y
![Page 31: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/31.jpg)
7 (c + 1)/8 = c/4
![Page 32: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/32.jpg)
8 (3m - 2)/5 = 7/10
![Page 33: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/33.jpg)
9 8 = 4(3c + 5)
![Page 34: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/34.jpg)
10 7(m - 3) = 7
![Page 35: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/35.jpg)
11 6( r + 2) - 4 = -10
![Page 36: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/36.jpg)
12 5 - (½)(x - 6) = 4
![Page 37: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/37.jpg)
13 4(2a - 1) = -10(a - 5)
![Page 38: Equations with variables on each side. -2 + 10p = 8p -1p = 0.5 3w + 2 = 7w w = 1/2 s/2 + 1 = ¼ s - 6s = - 28 8 + 5s = 7s - 2 s = 5](https://reader033.vdocuments.net/reader033/viewer/2022042822/56649f115503460f94c23610/html5/thumbnails/38.jpg)
14 2(w - 3) + 5 = 3(w - 1)