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

Variables Both Sides

Grade:Subject:Algebra

Date:

1 20c + 5 = 5c + 65

2 (3/8) - (1/4)t = (1/2)t - (3/4)

·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

Distribute

Grade:Subject:Algebra

Date:

1 3(a - 5) = -6

2 6 = 3 + 5(d - 2)

·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

Grade:Subject:Algebra

Date:

None or All Numbers

1 5 + 2(n + 1) = 2n

A no solutions

B all real numbers

C 4

2 7 - 3r = r - 4(2 + r)

A no solutions

B all numbers

C 1

3 14v + 6 = 2(5 + 7v) - 4

A no solution

B all numbers

C 0

4 5h - 7 = 5(h - 2) + 3

A no solution

B all numbers

C 0

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

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

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

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

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.

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

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.

Equation Practice

Grade:Subject:Algebra

Date:

1 3k - 5 = 7k - 21

2 5t - 9 = - 3t + 7

3 8s + 9 = 7s + 6

4 3 - 4q = 10q + 10

5 (3/4)n + 16 = 2 - (1/8)n

6 1/4 - (2/3)y = 3/4 - (1/3)y

7 (c + 1)/8 = c/4

8 (3m - 2)/5 = 7/10

9 8 = 4(3c + 5)

10 7(m - 3) = 7

11 6( r + 2) - 4 = -10

12 5 - (½)(x - 6) = 4

13 4(2a - 1) = -10(a - 5)

14 2(w - 3) + 5 = 3(w - 1)