solving multistep equations
2x + 5 = 11
x = 3
(x−4)^2
x^2−8x+16
(x + 2)(x + 5)
x^2 + 7x +10
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
87
c – 20 = 4 – 3c
c = 6
(3x+5)^2
9x^2+30x+25
x^2 + x – 12
(x + 4)(x – 3)
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
2.50
-2(x - 3) - 7 = 7x + 11
x = -4/3
(2x+3)(5x−2)
10x^2+11x−6
x^2 + 7x +10.
(x + 5)(x + 2)
A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?
35
-4(-3n - 8) = 10n + 20
n = -6
(7x+4)(7x−4)
49x^2−16
x^2 + 5x + 6.
(x + 2)(x + 3)
At Beans & Bagels, a bagel costs $1 more than a cup of coffee. If 4 cups of coffee and 6 bagels cost $31, which of the following systems of equations can be used to determine the price of a bagel, b, and the price of a cup of coffee, c?
31
2(4 - y)-3(y + 3) = -11
y = -5
−5x(4x−2)
−20x^2+10x
3x^3 – 3x^2 – 90x.
3x(x – 6)(x + 5)
A group of 41 people are going to a concert together in 7 vehicles. Some of the vehicles can hold 7 people each, and the rest can hold 5 people each. Assuming all the vehicles are filled to capacity, exactly how many of the vehicles can hold 7 people?
3