Business Math & Statistics - Ivy Software
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1. x^5 = 32
solve for x: x = 2
x^5=32
x=[(^5)32]
x=2
2. 2^x = 16
solve for x: x = 4
3. Solve for x and y for these simultaneous equations:
3x = 14-5y
7x+2y = 23: x = 3
y=1
4. Equation for Total Cost: Total costs = (variable cost per unit * number of units produced) + Fixed Costs
5. 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
6. Contribution Margin: (price per unit X * # of units sold) - (variable cost per unit X * units sold)
7. Breakeven: Breakeven = Fixed Costs/Contribution Margin per unit
8. 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 bene-
fits 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)
9. abscissa: The x-coordinate of a point (independent variable)
10. ordinate: The y-coordinate of a point (dependent variable)
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11. 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
12. 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
13. 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
Total Costs = (Variable costs per unit * Units of Production) + Fixed Costs
14. 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
15. 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
16. 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.
17. True/False: When the following equation hold true, we are at the breakeven
level in dollars:
Sales - Variable Costs = Fixed Costs: True
, Business Math & Statistics - Ivy Software
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18. True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3,
y=-2: True
19. 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
20. To separate an unknown variable from its exponent one should:: multiply the
exponent by its inverse
21. Which of the following are fixed costs: Sales, office payroll (receptionist &
bookeeper), advertising, home remodeling, office remodeling, sales commis-
sion, interest expense: office payroll, advertising, office remodeling, interest expense
22. Given these two equations, solve for x and y:
8x = 2y + 36 and 9y = 3x + 3: (5,2)
23. What is the correct order for separating, ordering and organizing of expres-
sions?
A) parentheses, brackets, braces, parentheses, and so on....
B) brackets, braces, parentheses, brackets, and so on....
C) braces, parentheses, brackets, braces, and so on....: A) parentheses, brackets, braces,
parentheses, and so on....
24. 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.: d. none of the above. - it would be one straight line
25. Solve for x: (2x + 3)/5 + (x +1)/4 =2
a. 13/20
b. -1
c. 23/13
d. 20/12: c. 23/13
Study online at https://quizlet.com/_i2bt9f
1. x^5 = 32
solve for x: x = 2
x^5=32
x=[(^5)32]
x=2
2. 2^x = 16
solve for x: x = 4
3. Solve for x and y for these simultaneous equations:
3x = 14-5y
7x+2y = 23: x = 3
y=1
4. Equation for Total Cost: Total costs = (variable cost per unit * number of units produced) + Fixed Costs
5. 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
6. Contribution Margin: (price per unit X * # of units sold) - (variable cost per unit X * units sold)
7. Breakeven: Breakeven = Fixed Costs/Contribution Margin per unit
8. 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 bene-
fits 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)
9. abscissa: The x-coordinate of a point (independent variable)
10. ordinate: The y-coordinate of a point (dependent variable)
, Business Math & Statistics - Ivy Software
Study online at https://quizlet.com/_i2bt9f
11. 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
12. 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
13. 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
Total Costs = (Variable costs per unit * Units of Production) + Fixed Costs
14. 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
15. 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
16. 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.
17. True/False: When the following equation hold true, we are at the breakeven
level in dollars:
Sales - Variable Costs = Fixed Costs: True
, Business Math & Statistics - Ivy Software
Study online at https://quizlet.com/_i2bt9f
18. True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3,
y=-2: True
19. 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
20. To separate an unknown variable from its exponent one should:: multiply the
exponent by its inverse
21. Which of the following are fixed costs: Sales, office payroll (receptionist &
bookeeper), advertising, home remodeling, office remodeling, sales commis-
sion, interest expense: office payroll, advertising, office remodeling, interest expense
22. Given these two equations, solve for x and y:
8x = 2y + 36 and 9y = 3x + 3: (5,2)
23. What is the correct order for separating, ordering and organizing of expres-
sions?
A) parentheses, brackets, braces, parentheses, and so on....
B) brackets, braces, parentheses, brackets, and so on....
C) braces, parentheses, brackets, braces, and so on....: A) parentheses, brackets, braces,
parentheses, and so on....
24. 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.: d. none of the above. - it would be one straight line
25. Solve for x: (2x + 3)/5 + (x +1)/4 =2
a. 13/20
b. -1
c. 23/13
d. 20/12: c. 23/13
