Equations
Finding intercepts
Finding Slope
Solving literal equations
Miscelaneous
100
Solve for x
3(4x-3)=6(2x +3)
What is, x=no solution
100
Find the x-intercept of 3x - 5y = 9
(3, 0)
100
Find the slope of the line
2
100
2x - 4y = 5 Solve for y
y= (5-2x)/-4
100
What does the y-intercept tell us about this problem?
There is an intial fee of around $35.
200
3(2x-5)+2x =4(x-4)+1
x = 0
200
Find the x-intercept of 3x - 5y = 9
(0, - 9/5)
200
Find the slope between the two points (2, 5) ( 4, 2)
-3/2
200
A=1/2d1d2
Solve for d1
d1=2A/d2
200
500, you are gaining 500ft per mile.
300
1/2x-2/3=4/5x-3/4
5/18
300
What is the y-intercept of y-2 = -3(x+4)
(0,-10)
300
Find the slope between the points (-2, 5) and (-2, 3)
undefined
300
y=2/5(x-4) Solve for x
5/2y+4
300
Consider the equation 1.5x+4.5y=18 .
If we graph the equation, what is the slope of the graph?
1/3
400
(4x+5)/7+2x=3x+2
x=-3
400
What is the x-intercept of
y=1/4x+3
(-12,0)
400
A gymnastics gym has an initial fee and then a cost per class after that. The cost of 4 classes is $90, while the cost of 10 classes is $150. What is the cost per class
$10
400
Noah is helping to collect the entry fees at his school's sports game. Student entry costs $2.75 each and adult entry costs $5.25 each. A generous adult also give an extra $100 to support the school. Write an equation to model the amount of money Noah collected. THEN rewrite it to solve for the amount of student tickets sold if you knew the number of adult tickets sold and the amount of money collected.
Let s = student tickets, a = adult tickets and C = cost
s=(C-100-5.25a)/2.75
400
Let s be graphed on the y-axis and c on the x-axis
What is the x-intercept and what does it mean in the context of the problem?
The x-intercept is 6 and it means that if you bought 0 stickers you can buy 6 pieces of cardstock.
500
What is the value of r so that you would have all real numbers as your solution set?
3x + 2(ax+3a) = 3(-2x-8) + x
x= -4
500
What is the x-intercept of y-2 = -3(x+4)
(-10/3,0)
500
solve for the missing variable
(x, 4) (2, -8) m = 2
x=8
500
Solve for x
(4x +y+1)/4 = 3xy/2
x=(-y-1)/(4-6y)
x=(y1)/(6y-4)
500
Let s be on the y-axis and c on the x-axis. What is the slope and what does it mean in the context of the problem?
-7/3
for every 7 packs of stickers you buy you get 3 less pieces of cardboard
for every pack of stickers you buy the number of pieces of card stock decreases by 7/3.