Solving for a Variable

One step

100

m + 3 = 15

m = 12

200

x – 7 = 10

x = 17

300

-11 + q = -5

q = 6

400

c/7 = 10

c = 70

500

Combine like terms

3.7x + (.5 - 6y) + .8 -(1.7x + 1 - 2.3y)

2x - 3.7y + .3

Two step

100

12 = 7a – 2

a = 2

200

-5 = 3c – 2

c = -1

300

What is the value of x?

2/3 (9x - 6) = 4x + 10

x = 7

400

Solve for x:

twelve less than 5 times a number is greater than or equal to 6 more than twice the number

x is greater than or equal to 6

500

Combine like terms

2.5(4.2x + 7.4y) - 3.6(8x - 4.5y) - (2.4x + 6y)

-20.7x + 28.7y

Variables on both sides

100

13a – 14 = 10a – 2

a = 4

200

12a – 11 = 9a + 1

a = 4

300

Which statement is true about the following:

3a + 1/3(6a - 9) = 1/2(10a - 6)

The equation has exactly one solution a = 0, it has an infinite number of solutions, it has exactly one solution at a = 1, or it has no solutions.

It is has infinite number of solutions.

400

What is the value of x:

3x - 10x + 5=5x + 17

x = -1

500

Combine like terms

2g - 3/5(20 - 3g) + 12

19/5g

Misc

100

Are they equivalent?:

2x=4 and 4x+5=13

Yes 

200

Are they equivalent?:

-2x+9=7 and -2x=2 

No

300

Solve for x:

3(x - 6) = 8x - 3(3x + 7)

x = - 3/4

400

What is the value of x?

.2(25x - 40) = 4(.5x + 1.75)

x = 5

500

Solve for y:

4x - 3y = 15

y = 4/3x - 5

Misc

100

6x+2=8

x=1

200

1.5(p+3)=18 

p=9

300

2.9y+2.7=1.1y-9.9

y=-7

400

Kitchen has one more piece of furniture than bedroom. Living room has two less than twice as many as in bedroom. If kitchen has two fewer than living room, how many in each room?

B-5, K-6, LR-8     or B-2, K-3, LR-2     

or B-1, K-2, LR-0     or B-3, K-5, LR 4

Bedroom-5

Kitchen 6

Living Room 8

500

Combine like terms:

2(5x-1) + 2(3x+7) + 2(2x-5) + 2(4x+11)

28x + 24