Business Math & Statistics - Ivy Software
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1. x^5 = 32 x=2
solve for x
2. 2^x = 16 x=4
solve for x
3. Solve for x and y for these simultaneous equa- x=3
tions: y=1
3x = 14-5y
7x+2y = 23
4. Equation for Total Cost Total costs = (variable
cost per unit * number
of units produced) +
Fixed Costs
5. Material $75/television $ 5,650,000
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?
6. Contribution Margin (price per unit X * # of
units sold) - (variable
cost per unit X * units
sold)
7. Breakeven Breakeven =
Fixed Costs/Contri-
bution Margin per unit
8. A company is making a product and has invested [($75,000*5) +
$100,000 on an advertising campaign and $75,000 $100,000] / $50/unit =
each on five salespeople (annual salary, including 9,500 (breakeven lev-
benefits and support). These are the only fixed el in units)
costs that the company has assigned to the prod-
uct, and the contribution margin per unit is $50. To
, Business Math & Statistics - Ivy Software
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cover those fixed costs, how many units will the
company have to sell to breakeven?
9. abscissa The x-coordinate of
a point (independent
variable)
10. ordinate The y-coordinate of
a point (dependent
variable)
11. True/False: the fixed costs for a certain project are False. It would be y =
$50 and it costs $2 to produce one unit. The equa- 50 + 2x
tion that relates y (total costs) to x (total number
of units produced) is y = 2 + 50x
12. Which of the following is the monomial expres- B) 143x^4 + 3x^4 - its
sion? the only term where
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 the x's can be added
B) 143x^4 + 3x^4 together to get one
C) 143x^4 + 78x^4 + 6x^4 + 76 term
13. Write an equation to related total cost to number y = 19x + 5
of driveways paved.
Asphalt, tar & concrete/driveway = $7,000
Direct Labor/Driveway = $12,000
Office Expenses & Other Labor = $5,000
14. Which of the following is the binomial expression? C) 143x^4 + 78x^4 +
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 6x^4 + 76 - tis the only
B) 143x^4 + 3x^4 term where the x's
C) 143x^4 + 78x^4 + 6x^4 + 76 can be added togeth-
er to get two terms
15. Which of the following is the trinomial expression? A) 4x^3 + 6x^4
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4 - its the only term
C) 143x^4 + 78x^4 + 6x^4 + 76 where the x's can be
added together to get
three terms
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16. True/False: the Contribution Margin is the amount True: the contribu-
that can be contributed to fixed costs. tion margin is the
amount the compa-
ny receives from the
sales of its product
minus the product's
variable costs. There-
fore, the amount re-
maining (after vari-
able costs) can be
used to pay the com-
pany's fixed costs.
17. True/False: When the following equation hold true, True
we are at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs
18. True/False: for the equation 2x - 3y = 6, the x and y True
intercepts are x=3, y=-2
19. When solving for an unknown variable that has a D) coefficient
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
20. To separate an unknown variable from its expo- multiply the exponent
nent one should: by its inverse
21. Which of the following are fixed costs: Sales, of- office payroll, adver-
fice payroll (receptionist & bookeeper), advertis- tising, office remodel-
ing, home remodeling, office remodeling, sales ing, interest expense
commission, interest expense
22. (5,2)
Study online at https://quizlet.com/_8drpgs
1. x^5 = 32 x=2
solve for x
2. 2^x = 16 x=4
solve for x
3. Solve for x and y for these simultaneous equa- x=3
tions: y=1
3x = 14-5y
7x+2y = 23
4. Equation for Total Cost Total costs = (variable
cost per unit * number
of units produced) +
Fixed Costs
5. Material $75/television $ 5,650,000
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?
6. Contribution Margin (price per unit X * # of
units sold) - (variable
cost per unit X * units
sold)
7. Breakeven Breakeven =
Fixed Costs/Contri-
bution Margin per unit
8. A company is making a product and has invested [($75,000*5) +
$100,000 on an advertising campaign and $75,000 $100,000] / $50/unit =
each on five salespeople (annual salary, including 9,500 (breakeven lev-
benefits and support). These are the only fixed el in units)
costs that the company has assigned to the prod-
uct, and the contribution margin per unit is $50. To
, Business Math & Statistics - Ivy Software
Study online at https://quizlet.com/_8drpgs
cover those fixed costs, how many units will the
company have to sell to breakeven?
9. abscissa The x-coordinate of
a point (independent
variable)
10. ordinate The y-coordinate of
a point (dependent
variable)
11. True/False: the fixed costs for a certain project are False. It would be y =
$50 and it costs $2 to produce one unit. The equa- 50 + 2x
tion that relates y (total costs) to x (total number
of units produced) is y = 2 + 50x
12. Which of the following is the monomial expres- B) 143x^4 + 3x^4 - its
sion? the only term where
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 the x's can be added
B) 143x^4 + 3x^4 together to get one
C) 143x^4 + 78x^4 + 6x^4 + 76 term
13. Write an equation to related total cost to number y = 19x + 5
of driveways paved.
Asphalt, tar & concrete/driveway = $7,000
Direct Labor/Driveway = $12,000
Office Expenses & Other Labor = $5,000
14. Which of the following is the binomial expression? C) 143x^4 + 78x^4 +
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 6x^4 + 76 - tis the only
B) 143x^4 + 3x^4 term where the x's
C) 143x^4 + 78x^4 + 6x^4 + 76 can be added togeth-
er to get two terms
15. Which of the following is the trinomial expression? A) 4x^3 + 6x^4
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4 - its the only term
C) 143x^4 + 78x^4 + 6x^4 + 76 where the x's can be
added together to get
three terms
, Business Math & Statistics - Ivy Software
Study online at https://quizlet.com/_8drpgs
16. True/False: the Contribution Margin is the amount True: the contribu-
that can be contributed to fixed costs. tion margin is the
amount the compa-
ny receives from the
sales of its product
minus the product's
variable costs. There-
fore, the amount re-
maining (after vari-
able costs) can be
used to pay the com-
pany's fixed costs.
17. True/False: When the following equation hold true, True
we are at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs
18. True/False: for the equation 2x - 3y = 6, the x and y True
intercepts are x=3, y=-2
19. When solving for an unknown variable that has a D) coefficient
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
20. To separate an unknown variable from its expo- multiply the exponent
nent one should: by its inverse
21. Which of the following are fixed costs: Sales, of- office payroll, adver-
fice payroll (receptionist & bookeeper), advertis- tising, office remodel-
ing, home remodeling, office remodeling, sales ing, interest expense
commission, interest expense
22. (5,2)
