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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What can we substitute for f(x)?
1 -2 -3
Y=10
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
Y

2. Is the standard cubic function odd - even or neither?
The slope of a line containing two points
(-infinity - +infinity)
Odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

3. What is the formula for the cube root function?
Y= then enter the number then press graph
As equations
In a quotient
F(x)=3 square root x

4. x^2+y=4 is this a function? Why?

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5. What does the graph of the cube root function look like on the graph?
Perpendicular line
Approach neg toward x through zero and above positive close to x
Zero slope
(-infinity - +infinity)

6. standard absolute value - vertical shift formulas for positve and negative
A line passing through two distinct points
F(x)=+c and f(x)-c
A V
Cannot be drawn in quizlet

7. What is a range?
F(x)=3 square root x
Conditional
Odd
The second set of components of an ordered pair

8. How would this formula move f(x)=(x+1)^2-3
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
Parabola - up one and right three
Zero slope
Parabola

9. What is the letter used to represent slope?
M
A V
Down
The opposite coordinates

10. What is the domain of the cube root function?
Negative slope
Same
(-infinity - +infinity)
The first set of components of an ordered pair

11. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
X^2
F(x)=3 square root x

12. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(-infinity - +infinity)
Y=x - identity function
Even
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000

13. Draw or discuss a constant function
Cannot be drawn in quizlet
As equations
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

14. In an identity function if f(10)=x than What is y?
Up
Y=10
F(x^1)=f(x^2)
No because you cannot have one domain pointing at two y's or ranges

15. What is the average rate of change formula?
2nd key - x^2 - graph
When does a graph not define y as a function of x?
Equation of a line
F(x2)-f(x1) / x2-x1

16. Why can h not equal zero in the difference of a quotient function formula?
Only one
Because the demintor of a quotient can never equal zero
In a quotient
Odd

17. What type of slope do you have when m=? and the line is vertical?
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
Undefined slope
X math 3 graph
Odd

18. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Neither
The secant line
(-infinity - 0]you[0 - +infinity)

19. Is the standard cubic function odd - even or neither?
20+.05x=5+.10x x=minutes
Odd
Because the demintor of a quotient can never equal zero
Horizontal

20. What are the calculator instructions for the standard cubic function?
Because the demintor of a quotient can never equal zero
X math 3 graph
(-infinity - 0]you[0 - +infinity)
F(x)=3 square root x

21. What type of slope do vertical lines have?
Undefined slope
45 degree angle
Undefined
Y=x^2 - graph

22. What is the domain for an absolute value function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Yes because two x's or domains can point to one y
F(x)=+c and f(x)-c

23. What does linear equation mean?
Yes because two x's or domains can point to one y
F(x)=IxI
Perpendicular line
Equation of a line

24. What are the four steps for solving a linear equation?
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
2nd key - x^2 - graph
45 degree angle

25. What does the standard cubic function look like on a graph?
Even
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x

26. What is the range of the cube root function?
Negative slope
Neither
Parabola
(-infinity - +infinity)

27. What does linear equation mean?
Equation of a line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=
Even

28. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Piecewise
As many as you like

29. x= a real number is what type of equation?
45 degree angle
Conditional
Perpendicular line
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

30. What is a constant function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Identity
F(x^1)=f(x^2)

31. What is the formula for an absolute value function?
F(x)=IxI
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal
20+.05x=5+.10x x=minutes

32. What is the formula for to calculate the difference of a quotient function?
Because the demintor of a quotient can never equal zero
Undefined slope
A V
F(x+h)-f(x)/h h cannot equal zero

33. What is the formula for the cube root function?
Any set of ordered pairs
F(x)=3 square root x
Neither
X=a

34. What is the range of the constant function?
The opposite coordinates
Cannot be drawn in quizlet
The single number y=
F(x2)-f(x1) / x2-x1

35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Inconsitent
Identity
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

36. Is a standard quadratic function even - odd or neither?
X = the original sale price and the formula is x - .40x =$276
Even
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero

37. What can never equal zero in the slope formula and why?
Odd
Yes because two x's or domains can point to one y
F(x) = x
X2-x1 because the demonaitor of a quotient can never equal zero

38. What is a domain?
X2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
The first set of components of an ordered pair
The secant line

39. What is the domain of a square root function?
[0 -+infinity)
F(x)=x^3
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

40. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
Y=b
C>1 - horizontal shrinking
Negative slope

41. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Approach neg toward x through zero and above positive close to x
45 degree angle
Up

42. x= a real number is what type of equation?
Undefined
Inconsistant
Conditional
45 degree angle

43. Draw or discuss a constant function
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
M

44. What is the formula for to calculate the difference of a quotient function?
In a quotient
Parraelle line
F(x+h)-f(x)/h h cannot equal zero
Postiive slope

45. What are the algebra of functions?
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base

46. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
F(x+c) and f(x-c)
Odd
When does a graph not define y as a function of x?

47. Of the seven of algebra's common graph's how many are neither?
F(x)=3 square root x
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
No because you cannot have one domain pointing at two y's or ranges
Square Root

48. What is the formula for an absolute value function?
Yes because two x's or domains can point to one y
Horizontal left
[0 -+infinity)
F(x)=IxI

49. x=all real numbers is what type of an equation?
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
Identity
Y=x - identity function

50. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
C>1 - horizontal shrinking
X is the hours to repair the boat. $1603-532=anwser/63 = x
[0 -+infinity)
Equation of a line