Draw a graph labeling vertical and horizontal intercepts and the vertex;
y = 0.5(x - 6)^2 - 8
What is the graph drawn on the board.
100
Let f(x) = 3x - 4 and g(x) = 2x^2 + 5x - 9
Find f(x) - g(x)
What is -2x^2 - 2x + 5
100
Solve for b;
(2/5)(a^2)(b) + 7a = c
What is b =((5/2)(c - 7a))/(a^2)
or (5c/2a^2) - (35/2a)
100
The total outlays for national defense and veterans benefits by the United States for several years are given in the table.
Year Total Outlays (in billions of dollars)
1993 326.8
1995 310
1997 309.8
1999 320.2
2000 337.4
Find a quadratic equation modeling these data.
What is O(t) = 1.9(t - 6)^2 + 308
Or O(t) = 1.9t^2 - 22.8t + 376.4
200
Solve for the intersection point;
m = 7n + 8
3m + 2n = 1
What is m = 1, n = -1
200
Factor the given expression;
12t^2 -19t -21
What is (4t + 3)(3t - 7)
200
Let f(x) = 3x - 4 and g(x) = 2x^2 + 5x - 9
Find f(x)g(x).
What is 6x^3 + 7x^2 - 47x + 36
200
Write the equation of the line passing through the point (-3, 10) and parallel to the line 2x +5y = 11. Write the equation in slope-intercept form.
What is y = -0.4x + 8.8
200
The total outlays for national defense and veterans benefits by the United States for several years are given in the table.
Year Total Outlays (in billions of dollars)
1993 326.8
1995 310
1997 309.8
1999 320.2
2000 337.4
Give a reasonable domain and range for the data.
What is Domain: 1 < x < 11
Range: 308 < x < 355.5
300
Solve for n;
2n^3 +12n^2 - 432n = 0
What is n = 0, -18, 12
300
Factor the given expression;
5z^3 - 40
What is 5(z - 2)(z^2 + 2z + 4)
300
Let f(x) = 3x - 4 and g(x) = 2x^2 + 5x - 9
Find f(g(x)).
What is 6x^2 + 15x - 31
300
How can you tell if a line on a graph is a function?
What is The vertical line test.
300
The total outlays for national defense and veterans benefits by the United States for several years are given in the table.
Year Total Outlays (in billions of dollars)
1993 326.8
1995 310
1997 309.8
1999 320.2
2000 337.4
Estimate the total outlays in 1998.
What is In 1998, Outlays were about 315.6 billion.
400
Solve for m;
3.4m^2 - 4.6m = 108
What is x = 6.35, -5
400
If a quadratic graph crosses the x-axis at x = -2 and x = 4 and another point on the graph is (1, -3), find the equation of the graph.
What is f(x) = (1/3)(x + 2)(x - 4)
Or f(x) = (1/3)x^2 - (2/3)x - (8/3)
400
Let f(x) = 3x - 4 and g(x) = 2x^2 + 5x - 9
Find g(f(x)).
The total outlays for national defense and veterans benefits by the United States for several years are given in the table.
Year Total Outlays (in billions of dollars)
1993 326.8
1995 310
1997 309.8
1999 320.2
2000 337.4
When will total outlays reach 500 billion dollars?
What is Total outlays will reach 500 billion in about 2006.
500
Solve for the intersection points;
y = 3x^2 + 3a - 18
y = -8x^2 + 4a + 30
What is (2.13, 2.08), (-2.04, -11.60)
500
If a quadratic graph crosses the x-axis at x = - 3 and x = 1 and also passes through the point (-1, 12), find the equation of the line.
What is f(x) = -3(x + 1)^2 + 12
500
List the degree of each term and the degree of the entire polynomial. Also, list the coefficients.
-6x^5 + 4x^2 - 2x + 4
What is Coefficients: -6, 4, -2, 4
Degree of each term: 5, 2, 1, 0
Degree of the entire polynomial: 5
500
Find the vertex and the y-intercept of this function:
y = 3x^2 - 7x + 14
What is Vertex: (1.167, 9.917)
500
Find the horizontal intercepts of the following function;
f(x) = (x)(x - 4)(x + 2)
What is x = 0, 4, -2
Points: (0, 0), (4, 0), (-2, 0)