Variables on Both Sides
6x+3=x+28
What is x = 5?
-6(3-6r)=-18+4r
What is r = 0?
2x + 2x + 2 = 4x + 2
What is infinite solutions?
16-2n=-8+4(n-3)
What is n = 6?
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?
-2(x + 1) = -2x + 5
What is no solution?
12y+5(y-6)=4
What is y = 2?
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?
4(2x + 1) = 5x + 3x + 9
What is no solution?
5-1(8v+5)=-4(1+3v)
What is v = -1?
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?
2(x + 2) + 3x = 2(x + 1) + 1
What is one solution?
-6x+7(1-x)=-4(x-4)
What is x = -1?
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?
3/2(2x + 6) = 3/4(4x + 12)
What is infinite solutions?
3(a-6)=-5a-7-3a
What is a = 1?
A flower shop sells two types of bouquets. Bouquet A consists of a dozen roses and some carnations. Bouquet B consists of a dozen peonies and some lilies. The price of one dozen peonies is 3 times the price of one dozen roses, as shown in the table. The cost of five Bouquets A is the same as the cost of two Bouquets B. What is the cost of a dozen roses?
What is $11?