Business Math & Statistics - Ivy Software Quizzes
2025 with 100% Correct Answers
x^5 = 32
solve for x
x=2
2^x = 16
solve for x
x=4
Solve for x and y for these simultaneous equations:
3x = 14-5y
7x+2y = 23
x=3
y=1
Equation for Total Cost
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 $3,000,000
If this company is considering building 10,000 units this year (and needs money for the
entire year allotted to it now for this purpose), for how much should the president ask?
,$ 5,650,000
Contribution Margin
(price per unit X # of units sold) - (variable cost per unit X units sold)
Breakeven
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?
[($75,000*5) + $100,000] / $50/unit = 9,500 (breakeven level in units)
abscissa
The x-coordinate of a point (independent variable)
ordinate
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
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
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
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
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
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.
, 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
True
True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3, y=-2
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
D) coefficient
To separate an unknown variable from its exponent one should:
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
2025 with 100% Correct Answers
x^5 = 32
solve for x
x=2
2^x = 16
solve for x
x=4
Solve for x and y for these simultaneous equations:
3x = 14-5y
7x+2y = 23
x=3
y=1
Equation for Total Cost
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 $3,000,000
If this company is considering building 10,000 units this year (and needs money for the
entire year allotted to it now for this purpose), for how much should the president ask?
,$ 5,650,000
Contribution Margin
(price per unit X # of units sold) - (variable cost per unit X units sold)
Breakeven
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?
[($75,000*5) + $100,000] / $50/unit = 9,500 (breakeven level in units)
abscissa
The x-coordinate of a point (independent variable)
ordinate
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
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
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
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
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
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.
, 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
True
True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3, y=-2
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
D) coefficient
To separate an unknown variable from its exponent one should:
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
