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x^5 = 32
solve for x correct answers x = 2
2^x = 16
solve for x correct answers x = 4
Solve for x and y for these simultaneous equations:
3x = 14-5y
7x+2y = 23 correct answers x = 3
y=1
Equation for Total Cost correct answers Total costs = (variable cost per unit * number of units
produced) + Fixed Costs
Material $75/television
Direct Labor $40/television
New Manufacturing Equipment $1,500,000
Modifications to Factory $3,000,000
If this company is considering building 10,000 units this year (and needs money for the entire
year allotted to it now for this purpose), for how much should the president ask? correct answers
$ 5,650,000
Contribution Margin correct answers (price per unit X * # of units sold) - (variable cost per unit
X * units sold)
Breakeven correct answers Breakeven = Fixed Costs/Contribution Margin per unit
A company is making a product and has invested $100,000 on an advertising campaign and
$75,000 each on five salespeople (annual salary, including benefits and support). These are the
only fixed costs that the company has assigned to the product, and the contribution margin per
unit is $50. To cover those fixed costs, how many units will the company have to sell to
breakeven? correct answers [($75,000*5) + $100,000] / $50/unit = 9,500 (breakeven level in
units)
abscissa correct answers The x-coordinate of a point (independent variable)
ordinate correct answers The y-coordinate of a point (dependent variable)
True/False: the fixed costs for a certain project are $50 and it costs $2 to produce one unit. The
equation that relates y (total costs) to x (total number of units produced) is y = 2 + 50x correct
answers False. It would be y = 50 + 2x
Which of the following is the monomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
,B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76 correct answers B) 143x^4 + 3x^4 - its the only term where the
x's can be added together to get one term
Write an equation to related total cost to number of driveways paved.
Asphalt, tar & concrete/driveway = $7,000
Direct Labor/Driveway = $12,000
Office Expenses & Other Labor = $5,000 correct answers y = 19x + 5
Which of the following is the binomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76 correct answers C) 143x^4 + 78x^4 + 6x^4 + 76 - tis the only
term where the x's can be added together to get two terms
Which of the following is the trinomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76 correct answers A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 - its the
only term where the x's can be added together to get three terms
True/False: the Contribution Margin is the amount that can be contributed to fixed costs. correct
answers True: the contribution margin is the amount the company receives from the sales of its
product minus the product's variable costs. Therefore, the amount remaining (after variable costs)
can be used to pay the company's fixed costs.
True/False: When the following equation hold true, we are at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs correct answers True
True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3, y=-2 correct answers
True
When solving for an unknown variable that has a number preceding it, you will divide both sides
of the equation by this number, which is known as the:
A) base
B) power
C) exponent
D) coefficient
E) none of the above correct answers D) coefficient
To separate an unknown variable from its exponent one should: correct answers multiply the
exponent by its inverse
Which of the following are fixed costs: Sales, office payroll (receptionist & bookeeper),
advertising, home remodeling, office remodeling, sales commission, interest expense correct
answers office payroll, advertising, office remodeling, interest expense
, Given these two equations, solve for x and y:
8x = 2y + 36 and 9y = 3x + 3 correct answers (5,2)
What is the correct order for separating, ordering and organizing of expressions?
A) parentheses, brackets, braces, parentheses, and so on....
B) brackets, braces, parentheses, brackets, and so on....
C) braces, parentheses, brackets, braces, and so on.... correct answers A) parentheses, brackets,
braces, parentheses, and so on....
The graph for the equation y = 2x would look like:
a. a vertex.
b. two straight lines.
c. a parabola.
d. none of the above. correct answers d. none of the above. - it would be one straight line
Solve for x: (2x + 3)/5 + (x +1)/4 =2
a. 13/20
b. -1
c. 23/13
d. 20/12 correct answers c. 23/13
True/False: The fixed costs for a certain project are $50 and it costs $2 to produce one unit. The
equation that relates y (total costs) to x (total number of units produced) is y = 50 + 2x. correct
answers True
A man buys 3 burgers and 2 jumbo deluxe fries for $7.40. A woman buys one burger and 4
jumbo deluxe fries for $7.80. How much is the burger and how much are the fries?
Select one:
a. Burger = $1.40, Fries = $1.60
b. Burger = $1.50, Fries = $1.80
c. Burger = $2.80, Fries = $2.00
d. Burger = $2.00, Fries = $2.80 correct answers a. Burger = $1.40, Fries = $1.60
True/False: When the following equation holds true, we are not at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs correct answers False
2x =32, x is
a. 5
b. 4
c. 3
d. none of the above correct answers a. 5
Time Series Analysis correct answers A forecasting method that uses historical sales data to
discover patterns in the firm's sales over time and generally involves trend, cycle, seasonal, and
random factor analyses
x^5 = 32
solve for x correct answers x = 2
2^x = 16
solve for x correct answers x = 4
Solve for x and y for these simultaneous equations:
3x = 14-5y
7x+2y = 23 correct answers x = 3
y=1
Equation for Total Cost correct answers Total costs = (variable cost per unit * number of units
produced) + Fixed Costs
Material $75/television
Direct Labor $40/television
New Manufacturing Equipment $1,500,000
Modifications to Factory $3,000,000
If this company is considering building 10,000 units this year (and needs money for the entire
year allotted to it now for this purpose), for how much should the president ask? correct answers
$ 5,650,000
Contribution Margin correct answers (price per unit X * # of units sold) - (variable cost per unit
X * units sold)
Breakeven correct answers Breakeven = Fixed Costs/Contribution Margin per unit
A company is making a product and has invested $100,000 on an advertising campaign and
$75,000 each on five salespeople (annual salary, including benefits and support). These are the
only fixed costs that the company has assigned to the product, and the contribution margin per
unit is $50. To cover those fixed costs, how many units will the company have to sell to
breakeven? correct answers [($75,000*5) + $100,000] / $50/unit = 9,500 (breakeven level in
units)
abscissa correct answers The x-coordinate of a point (independent variable)
ordinate correct answers The y-coordinate of a point (dependent variable)
True/False: the fixed costs for a certain project are $50 and it costs $2 to produce one unit. The
equation that relates y (total costs) to x (total number of units produced) is y = 2 + 50x correct
answers False. It would be y = 50 + 2x
Which of the following is the monomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
,B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76 correct answers B) 143x^4 + 3x^4 - its the only term where the
x's can be added together to get one term
Write an equation to related total cost to number of driveways paved.
Asphalt, tar & concrete/driveway = $7,000
Direct Labor/Driveway = $12,000
Office Expenses & Other Labor = $5,000 correct answers y = 19x + 5
Which of the following is the binomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76 correct answers C) 143x^4 + 78x^4 + 6x^4 + 76 - tis the only
term where the x's can be added together to get two terms
Which of the following is the trinomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76 correct answers A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 - its the
only term where the x's can be added together to get three terms
True/False: the Contribution Margin is the amount that can be contributed to fixed costs. correct
answers True: the contribution margin is the amount the company receives from the sales of its
product minus the product's variable costs. Therefore, the amount remaining (after variable costs)
can be used to pay the company's fixed costs.
True/False: When the following equation hold true, we are at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs correct answers True
True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3, y=-2 correct answers
True
When solving for an unknown variable that has a number preceding it, you will divide both sides
of the equation by this number, which is known as the:
A) base
B) power
C) exponent
D) coefficient
E) none of the above correct answers D) coefficient
To separate an unknown variable from its exponent one should: correct answers multiply the
exponent by its inverse
Which of the following are fixed costs: Sales, office payroll (receptionist & bookeeper),
advertising, home remodeling, office remodeling, sales commission, interest expense correct
answers office payroll, advertising, office remodeling, interest expense
, Given these two equations, solve for x and y:
8x = 2y + 36 and 9y = 3x + 3 correct answers (5,2)
What is the correct order for separating, ordering and organizing of expressions?
A) parentheses, brackets, braces, parentheses, and so on....
B) brackets, braces, parentheses, brackets, and so on....
C) braces, parentheses, brackets, braces, and so on.... correct answers A) parentheses, brackets,
braces, parentheses, and so on....
The graph for the equation y = 2x would look like:
a. a vertex.
b. two straight lines.
c. a parabola.
d. none of the above. correct answers d. none of the above. - it would be one straight line
Solve for x: (2x + 3)/5 + (x +1)/4 =2
a. 13/20
b. -1
c. 23/13
d. 20/12 correct answers c. 23/13
True/False: The fixed costs for a certain project are $50 and it costs $2 to produce one unit. The
equation that relates y (total costs) to x (total number of units produced) is y = 50 + 2x. correct
answers True
A man buys 3 burgers and 2 jumbo deluxe fries for $7.40. A woman buys one burger and 4
jumbo deluxe fries for $7.80. How much is the burger and how much are the fries?
Select one:
a. Burger = $1.40, Fries = $1.60
b. Burger = $1.50, Fries = $1.80
c. Burger = $2.80, Fries = $2.00
d. Burger = $2.00, Fries = $2.80 correct answers a. Burger = $1.40, Fries = $1.60
True/False: When the following equation holds true, we are not at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs correct answers False
2x =32, x is
a. 5
b. 4
c. 3
d. none of the above correct answers a. 5
Time Series Analysis correct answers A forecasting method that uses historical sales data to
discover patterns in the firm's sales over time and generally involves trend, cycle, seasonal, and
random factor analyses
