Linear Equations
solve for y.
y+5=-3(x-6)
y=-3x+13
(x+3)2
x2+6x+9
Subtract (3x2+2x) from (-4x2+5x-7)
-7x2+3x-7
solve.
(3g2+4g+6)+(7g2+g+8)
10g2+5g+14
A class of 195 students went on a field trip. They took a total of 19 vehicles, some cars and some buses. If each car holds 5 students and each bus holds 25 students, how many buses were taken to the field trip?
5 buses
solve for y.
y-3=1/4(x+8)
y=1/4x+5
solve.
-3m(3m2+9)
-9m3-27m
solve.
(8a+8)-(4a+3)
4a+5
Determine the following if A = 4x2+8x-5 and B = x2+3x-8 then what is the sum?
5x2+11x-13
Michael was selling lemonade over the weekend. The function P(c) = .75c - 8.99 represented the profit, P(c), Michael earned while selling c cups of lemonade. Sales were strong, so he raised the price by 50 cents per cup. Create a function that represents his profit now.
P(c) = 1.25c - 8.99
solve for y.
y+7=1/4(x-4)
y=1/4x-8
solve.
-3x2(-3x2+5)
9x4-15x2
solve.
(-4a3+3a+9)-(a-2)
-4a3+2a+11
solve.
(3b+5)+(2b+4)
(3b+5)+(2b+4)=5b+9
Afra and Noor volunteered to buy dessert for the class. When Afra orders, she is going to order 3 trays of cupcakes and 2 orders of cookies for a total of $29.50. When Noor orders from the same bakery, she orders 2 trays of cupcakes and 3 orders of cookies for a total of $23. Find the price of a tray of cupcakes.
solve for y.
y+9=-7(x-4)
y=-7x+19
solve.
2v(3v2+v)
6v3+2v2
Subtract (-4a3+2a+5) from (a-2)
4a3-a-7
solve.
9a2+8a+9+3+3a2
12a2+8a+12
The football team is selling tickets for admission to homecoming and earn a total of $104. Adult tickets, x, cost $6 and student tickets, y, cost $4. They sell a total of 21 tickets. Write a system of equations that can be used to model this situation.
6x+4y=104
x+y=21
solve for y.
y+1=3(x+8)
y=3x+23
solve.
5(-z2+9)
-5z2+45
Solve
(x3-2x2+3x-3)-(x2-2x-3)
x3-3x2+5x
solve.
16a2+10a
16a2+10a
James was preparing for his football game this weekend. He went to the supermarket to buy 4 water bottles and 2 gatorades for a total of $8.50. If the water bottles were $1.25, how much does a bottle of gatorade cost?
gatorade costs $1.50