Find the slope of a line through the points (-2,-4) and (3,6).
2
100
Solve the system of equations: y=x+8 : y=3x
(4,12)
100
Which Quadrant has positive y-coordinates and negative x-coordinates?
Quadrant II
200
How many kilograms are in 120 pounds? (1 kg ≈ 2.2 lb)
54.545 kg
200
75/100 = 12/x
x = 16
200
Write an equation that passes through the point (-9,2) with a slope of ⅔.
y = 2 + ⅔(x+9)
200
Solve the system of equations: 2x-y=4 : x=-5-3y
(1,-2)
200
Graph the solution on a number line: -3<x≤4
Open circle at -3, closed circle at 4, shaded between.
300
Find the mean, median, and mode of the data set: {0, 2, 2, 4, 7, 9}
mean: 4, median: 3, mode: 2
300
Solve for x: -2x+3y = 16
x = -8+1.5y
300
Write the equation in intercept form of a line through the points (-15,0) and (0,-10).
y=-⅔(x)-10
300
Solve the system of equations. 3x-4y=-27 : 7x+8y=-11
(-5,3)
300
Identify the slope and y-intercept of the line: y=2-¾(x+12)
slope=-¾ : y-intercept=-7
400
Write the recursive formula for the sequence: -5, 3, 11, 19 ...
U(1)=-5 : U(n)=U(n-1)+8
400
-5x+6 ≥ 3
x ≤ 3/5
400
A cable company charges customers $45.65 a month for a basic package. Each on-demand movie watched is an additional $2.99. Write an equation to represent the total monthly cost.
y=45.65+2.99x
400
A school bought 355 tickets for the 2nd grade field trip to the zoo and spent a total of $1,025. They paid $5.00 for adult tickets and $2.00 for student tickets. Write a system of equations to determine the number of adults, x, and the number of students, y, that went on the field trip. (DON'T SOLVE)
If x and y are inversely proportional, and x=3 when y=12, find x when y=9.
x=4
500
3(x-6)/2 + 1 = x
x = 16
500
A cafe sells coffee at a price of $3 a cup and averages 200 cups a day. They had a special selling coffee for only 1$ a cup and sold 600 cups. If the relationship between price and sales were linear, how much coffee would they sell if they charged $2.50 a cup?
350 cups
500
Lorena has 26 coins in nickels and quarters, which are worth a total of $3.10. How many of each coin does she have?
Lorena has 9 quarters and 17 nickels.
500
Solve the system of equations by graphing: y=x-4 & 2x+y=5