Word Problems
A first number plus twice a second number is 10. Twice the first number plus the second totals 29. Find the numbers.
What is
First number: 16
Second number: -3?
Determine the value of the
y-intercept of the equation:
3x-2y=18
What is -9?
Determine the slope of the line: 4x-5y=20
What is 4/5?
Parallel lines
What are lines with the same slope that never touch?
What is the solution type in the following system of equations?
y = -2x + 7
4x + 2y = 16
What is no solution?
Three burgers and four hotdogs cost $22, while seven burgers and two hotdogs cost $33. Determine the cost of each item.
What is
Burgers: $4.00
Hot dogs: $2.50?
What is the slope of the line parallel to
3x + 6y = 24
What is m = - 1x/2?
Determine the slope between the points:
(-3,4) and (4,5)
What is -1/7?
Intersecting lines
What are lines that touch at one point?
Solve the following system of linear equations?
3x-9y=18
y = 1x/3 - 2
What is infinitely many?
or
What are coinciding lines?
or
What is the same line?
Given that the revenue and cost functions are: R(x) = 25x and C(x) = 5x+30,000 respectively, where x is the number of items and both R(x) and C(x) are in dollars. Determine the number of items that must be sold in order to break even.
What is 1500?
What is the relationship between the lines?
y= 1x/2 + 3
2x + 4y = -16
What is intersecting, but not perpendicular?
Determine the equation of the line which passes through the point (-4,-6) with the slope of m=3/4
What is 3x-4y=12?
or
What is y=3x/4 - 3?
Perpendicular lines
What are lines that intersect each other at 90 degree angles?
Solve the system of equations:
4x-5y=10
y = 3/4 + 5
What is (140,110)?
A boat can travel 48 miles with the current in 4 hours. The same boat requires 6 hours to travel the same distance against the current. How fast is the current?
What is 2 mph?
Determine the equation of the line that passes through the points (-4,-3) and (3,2) in standard form.
What is 5x - 7y = 1?
Determine the equation of the line that passes through the point (-2,5) and is PERPENDICULAR to
4x + 2y = 10 in SLOPE-INTERCEPT FORM
What is y = 1x/2 + 6?
The slope of a vertical line
What is undefined?
Determine the domain of
f(x) = 4x / (18x - 9)
What is (-infinity, 1/2) U (1/2, infinity)?
Al can paint a room is 8 hours. Bob can paint the same room in 14 hours. How long will it take them to paint the room if they work together?
What is 56/11 hours?
Which of the following points is NOT on the line
5x-6y=30
What is (-12,15)?
Determine the value of k such that the following set will form a line:{ (3,4), (4,2), (k, -6)}
What is k=8?
Coinciding lines
What is the same line?
True or False. y=x2 is a function.
What is true?