Two Step Equations
Variable on Both Sides
Write the Equation
Like Terms/Distribution
Potpourri
100

70 = 19 - 3x

-17

100

12w - 28 = -63 + 7w

w = -7

100

There is $4000 in your bank account. You want to increase your savings to $5000. You plan to save $40 per week until you reach your goal. How long will it take you to reach your goal?

4000 + 40w = 5000

100

3n - 40 + 2n = 15

n = 11

100

During hibernation, a chipmunk's weight decreases by 0.31 pound and afterwards they weigh 0.35 pound. Write an equation and solve for the weight before hibernation.

weight = 0.66 pound

200

8 - (x/7) = -10

126

200

Is x = -9 a solution?

41 - 8x = -6x - 23

No, 113 does not equal 31

200

The perimeter os a triangle is 112 meters. Two of the side lengths are 56 meters and 31 meters. What is the length of the third side?

56 + 31 + s = 112

200

12 = 3( m - 17 )

m = 21

200

Which property would you use to solve 5x = 85?

Division property of equality

300

Translate and solve

The difference of fourteen and the product of three and a number is 26

14 - 3x = 26

x = -4

300

-15x = -5( 3x + 7 )

No solution

300

You buy a computer for $642. You make a down payment for half the cost and pay off the rest in three equal monthly payments. How much is each monthly payment?

321 + 3p = 642

300

-40 - ( 2y + 5 ) = -61

y = 8

300

-0.63 / 0.7

-0.9

400

Translate and solve

Negative sixteen added to the quotient of a number and two is thirty-five

-16 + (n/2) = 35

n = 102

400

11 - 4t = 3( -2t + 5 )

t = 2

400

You are rock climbing and descending a cliff at a rate of about nine feet per minute. The cliff is about 360 feet high. How long until you are halfway down the cliff?

360 - 9m = 180

400

-5 = 0.25( 4 + 20k ) - 8k

k = 2

400

You are reading a book that is 540 pages long, and you can read about 30 pages per hour. How long does it take for you to read the book?

18 hours

500

Is x = -2 a solution of the equation?

-6 = (x/2) - 7

If not, what is the correct solution?

No, x = 2

500

-6( 4x + 3 ) = 6( -4x - 3 )

All numbers

500

A group of four friends are playing golf. The total cost for a round of golf is $108. Each person in the group has the same coupon. The cost of the round with coupons is $76. How much is the coupon worth?

108 - 4c = 76

500

3( 2x - 7 ) + 8( 4 - x ) = 19

x = -4

500

Solve the equation for y.

3x + 6y = 12

y = 2 - 1/2x