Find the distance between the points (0, 3) and (-2, 4)
Square root of 5
100
Find the slope of the line containing the points (4, 1) and (-1, -2)
3/5
100
Find the equation of the line that contains the point (0, -3) and as a slope of -1.
y = -x - 3
100
Graph y = x^2 - 4 by plotting the solutions of the equation when x = -3, -2, -1, 0, 1, 2, and 3, then connecting the points with a smooth line.
A parabola (u-shape) with y-intercept at -4.
100
Solve the following system of equations by graphing.
2x - 3y = 6
2x - 5y = 10
(0, -2)
200
Evaluate f(x) = 3x - 2 for f(-3) and f(2 -h)
f(-3) = -11
f(2-h) = -3h + 4
200
Evaluate the determinant
| 3 6 |
| 2 4 |
0
200
Find the equation of the line that contains the points (-3, -2) and (1, -4)
y = -1/2x - 7/2
200
Graph y = 3/5x - 1 by choosing three values for x and solving for the corresponding y.
The graph should be a straight line that passes through (0, -1) and (5,2)
200
Solve the following system of equations by substitution.
x + 3y = 5
2x + 3y = 4
(-1, 2)
300
Find the zero of f(x) = 3x + 8
-8/3
300
A boat traveling with the current went 48 miles in 2 hours. Against the current, it took 3 hours to travel the same distance. Find the rate of the boat in calm water and the rate of the current.
Boat in calm water: 14 mph
Current: 2 mph
300
Find the equation of the line that contains the point (3, -3) and is parallel to the graph of y = 2/3x - 1.
y = 2/3x - 5
300
Graph 2x - y = 4 by finding the x- and y-intercepts.
x-intercept = (2, 0)
y-intercept = (0, -4)
300
Solve the following system of equations by the addition method.
2x - 5y = 13
5x + 3y = 17
(4, -1)
400
Graph using the x- and y-intercepts.
3x - 5y = 9
x-intercept: (3,0)
y-intercept: (0, -9/5)
400
Graph the solution set:
y > 2x - 6
x + y < 0
Two dashed lines intersecting at (2, -2) and the left section shaded.
400
Find the equation of the line that contains the point (2, -5) and is perpendicular to the graph of y = 5/2x - 4.
A merchant mixed 10 pounds of cinnamon tea with 5 pounds of spice tea. The 15 pound mixture cost $40. A second mixture included 12 pounds of cinnamon tea and 8 pounds of the spice tea. The 20 pound mixture cost $54. Find the cost per pound of each tea.
There are 126 calories in a 2-ounce serving of lean hamburger, and 189 calories in a 3-ounce serving. Find a linear function for the number of calories in a lean hamburger in terms of the serving size.
f(x) = 63x
500
Graph the solution set for y < -4/3x + 3
Dashed line with -4/3 slope and y-intercept (0, 3).
500
Solve the following system of equations by the addition method:
2x + y - 3z = 7
x - 2y + 3z = 1
3x + 4y - 3z = 13