Word Problems
A total of 436 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
109 Adult Tickets
2𝑥 + 5𝑦 = −20
State the slope, x intercept, and y intercept.
m=-2/5
x-int: (-10,0)
y-int: (0,-4)
6(𝑤 + 1) − 10 = 4(𝑤 − 1) + 2w
All Real Numbers
y=mx+b
It takes an older pump twice as long to drain a certain pool as it does a newer pump. Working together, it takes the two pumps 5 hours to drain the pool. How long will it take the newer pump to drain the pool working alone?
7.5 hours
Write the equation of a line in slope intercept form that passes through (2,-6) and has a slope of 5/2.
y=5/2x-11
4|2𝑦 − 3| + 9 = 45
{-3,6}
m= (y2-y1) / (x2-x1)
Four consecutive odd integers have a sum of 216. Find the integers.
51,53,55,57
Write the equation of a line in slope intercept form perpendicular to the line 𝑦 = −6𝑥 + 6 that passes through (8, -3).
y=1/6x-13/3
Solve the system of equations:
-4x+3y=-16
x-2y=9
(1,-4)
The difference of squares formula states...
a2 - b2 = (a+b)(a-b)
A plane has a cruising speed of 150 miles per hour when there is no wind. At this speed, the plane flew 300 miles with the wind in the same amount of time it flew 200 miles against the wind. Find the speed of the wind.
30mph
Write the equation of the line in slope intercept form that passes through (-2, 4) and (6,6)
y=1/4x+9/2
5/2 - 7/4 x = -1/8
3/2
The sum of cubes formula is...
The difference of cubes formula is...
a3 + b3 = (a+b)(a2-ab+b2)
a3 - b3 = (a-b)(a2+ab+b2)
Last year, Shen had $30,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 9% simple interest per year. After one year, he received a total of $2500 in interest. How much did he invest in each account?
7% account: $10,000
9% account: $20,000
Graph the inequality.
−3𝑥 − 2𝑦 > −2
On Board
(𝑥 − 5) 2 = 2𝑥 2 − 12𝑥 + 1
{-4,6}
On Board