Activity 1.1
Activity 1.2
Activity 1.3
Activities 1.4 and 1.5
Activities 1.6 and 1.7
100
The equation of the line with the y-intercept 3 and a slope of -2/3, and graph it.
What is y = -2/3x + 3
100
Solve the system of equations: y = -3x + 6 y = -1/3x - 2
What is (3, -3)
100
Identify the domain and range for the following piecewise function: f(x) = -3x - 4 if x <-1 x if x >= -1
What is domain: all real numbers, range: y >= -1
100
The composition of f(g(x)) if f(x) = 4 - 2x and g(x) = 3x^2
What is f(g(x)) = 4 - 6x^2
100
Given the values of the matrices on the board, evaluate the following: A + B
What is not possible because A and B have different dimensions.
200
The equation of the line that passes through the point (-2, 4) and has a slope of -1.
What is y = -x + 2
200
Solve the system: 5y - x = -5 7y - x = -23
What is (-40, -9)
200
Identify the domain and range of the following piecewise function: f(x) = x^2 if x<= 1 -2x + 3 if x >1
What is domain: all real numbers, range: all real numbers.
200
Determine the composite function g(f(x)) if f(x) = 5x + 2 and g(x) = 3 - x.
What is g(f(x)) = 5x + 1
200
Given the values of the matrices on the board, evaluate the following: 3C
What is: 3 6 9 9 6 3 -6 12 9
300
The equation of the line that passes through the points (2, -3) and (-1, -4).
What is y = 1/3x - 8/3
300
Solve the system: 2x - 5y = 8 x - 3y = -1
What is (29, 10)
300
Describe the following transformation of the function f(x) = |x| f(x) = -2|x -1| - 1
What is reflected over the x-axis, "slope" of 2, shifted right 1, shifted down 1
300
Determine (f+g)(x) if f(x) = 5x + 2 and g(x) = 3 - x.
What is (f+g)(x) = 4x + 5
300
Evaluate the inverse of the matrix: 3 1 2 0
What is 0 -1 -2 3
400
Graph the inequality y > 2x - 5.
What is (see board!)
400
Solve the system: 2x + 3y + z = 17 x - 3y + 2z = -8 5x - 2y + 3z = 5
What is (2, 4, 1)
400
Solve the following absolute value equation: |2x - 3| = 7
What is x=3 and x=-7/3
400
Find the inverse of the given function: g(x) = (x+5)/4
What is g^-1(x) = 4x - 5
400
Write the system of equations represented by the matrix equation below. Then solve the matrix equation: [-3 -2] [x] = [ 1] [5 4 ] [y] [-3]
What is -3x - 2y = 1 5x + 4y = -3 x = 1 & y = -2
500
Describe how to determine the maximum and minimum values for an objective function.
What is determine and graph the constraints, and plug in the appropriate x and y values for the vertices.
500
The system of equations given by: 2x + 3y = 7 10x + cy = 3 has solutions for all values except:
What is E (15)
500
Solve and graph the absolute value inequality: |x + 5| < 12
What is x > 13 or x < -3 and (see board!)
500
Use the definition of inverse to determine whether or not each pair of functions are inverses: f(x) = 5x - 3 and g(x) = x/5 + 3
What is no, they are not inverses.
500
The dimension of matrix A is 2x2, the demension of matrix B is 2x2, and the dimension of matrix C is 2x3. Tell whether the following statements are always, sometimes, or never true. (You must answer for each!) a) A + B = B + A b) The dimension of C * B is 2x3 c) The dimension of matrix B * C is 2x3 d) Since A is a square matrix, A has a multiplicative inverse.
What is: a) always b) never c) always d) sometimes
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