Variables on Both Sides
6x+3=x+28
What is x = 5?
-6(3-6r)=-18+4r
What is r = 0?
16-2n=-8+4(n-3)
What is n = 6?
2x + 2x + 2 = 4x + 2
What is infinite solutions?
Xavier has $100 in his lunch account. He spends $6 for lunch each day. Zack has $160 in his lunch account. He spends $10 each day. After how many days will they have the same amount of money in their accounts?
What is 15 days?
8-2c=2c
What is c = 2?
2(a-2)=3(a-5)
What is a = 11?
12y+5(y-6)=4
What is y = 2?
-2(x + 1) = -2x + 5
What is no solution?
A DJ charges a flat fee of $120 plus $25 an hour. A second DJ charges $45 an hour. After how many hours is the charge for the two DJ's the same?
What is 6 hours?
3k-15=-k+1
What is k = 4?
3(d+2)=5(d-6)
What is d = 18?
5-1(8v+5)=-4(1+3v)
What is v = -1?
4(2x + 1) = 5x + 3x + 9
What is no solution?
At Silver Gym membership is $25 per month and personal training sessions are $30 each. At Fit Factor membership is $65 a month and personal training sessions are $20 each. After how many personal training sessions would the cost be the same?
What is 4 sessions?
14+3a=-2a-1
What is a = -3?
16(z+3)=4(z+9)
What is z = -1?
-6x+7(1-x)=-4(x-4)
What is x = -1?
2(x + 2) + 3x = 2(x + 1) + 1
What is one solution?
The width of Javier’s rectangular math classroom is 7 feet less than 3 times its length. The perimeter of the classroom is 82 feet. What is the length of the classroom?
What is 12 feet?
9x+6=6x-9
What is x = -5?
7(x+2)=2(x+2)
What is x = -2?
3(a-6)=-5a-7-3a
What is a = 1?
3/2(2x + 6) = 3/4(4x + 12)
What is infinite solutions?
Naomi painted 16.5 square feet of a mural at a rate of 2 square feet per hour. Claire painted 7.5 square feet of the mural at a rate of 4 square feet per hour. If they continue at the same rates, how many more hours will it take until Naomi and Claire have painted equal areas of the mural?
What is 4.5 hours?