Test your basic knowledge |

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 is another way to write f(x)=x - what type of function is this?
The second set of components of an ordered pair
Horizontal
Yes - all the domains points to one range
Y=x - identity function

2. What is a domain?
Horizontal right
Even
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero

3. What is the formula for an absolute value function?
The opposite coordinates
F(x)=IxI
Undefined slope
When does a graph not define y as a function of x?

4. What is the letter used to represent slope?
M
[0 -+infinity)
X^2
Horizontal left

5. 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?
As many as you like
X is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet

6. What shape is the standard quadratic function?
(-infinity - +infinity)
X^2
M
Parabola

7. Two vertical lines side by side are a symbol for what
Parraelle line
When does a graph not define y as a function of x?
45 degree angle
F(x)=3 square root x

8. What are two examples of composit functions?
F of g and g of f
F(x)=suare root of x
Undefined slope
Approach neg toward x through zero and above positive close to x

9. How many domains can you have pointing to one range?
As many as you like
(-infinity - +infinity)
F(x^1)=f(x^2)
(-infinity - +infinity)

10. What is the domain for a standard quadratic function?
X=a
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
F of g and g of f

11. What is the formula for the standard cubic function?
Any set of ordered pairs
In a quotient
F(x)=3 square root x
F(x)=x^3

12. What is the letter used to represent slope?
Square Root
M
Y= then enter the number then press graph
The single number y=

13. x=no real numbers is what type of an equation?
Inconsistant
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=suare root of x
Inconsitent

14. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd key - x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y

15. What is the slope of a perpendicular line?
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
Down
Up
Negative inverse

16. What is the standard quadratic function?
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
X^2
A V
Zero slope

17. What are the calculator instructions for a standard quadratic equation?
Zero slope
Y=x^2 - graph
Even
20+.05x=5+.10x x=minutes

18. Draw or discuss a constant function
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Cannot be drawn in quizlet

19. 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
Cannot be drawn in quizlet
2nd key - x^2 - graph

20. What are the four steps for solving a linear equation?
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
No because you cannot have one domain pointing at two y's or ranges
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

21. What is the range of a square root function?
The secant line
Same
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

22. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
As equations
Function notation
The secant line

23. What is the slope intercept formula? Define all the variables.
Cannot be drawn in quizlet
(-infinity - +infinity)
Up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

24. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
X^2
Math 4 x - graph
Parabola - up one and right three

25. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Neither
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

26. What is the range of a square root function?
Cannot be drawn in quizlet
Horizontal right
[0 -+infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

27. How do you graph Ax+By+C=0?
Absolute Value - Constant and Standard Quadratic
Three odd - cube root - identity - standard cubic
Undefined slope
Set the x and y to zero and get the intercepts and then plot the points

28. What is the range for a standard quadratic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Same
No because you cannot have one domain pointing at two y's or ranges

29. When is the only time (-infinity - +infinity) is not the domain?
As equations
X math 3 graph
Equation of a line
In a quotient

30. What does the average rate of change formula solve?
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
F(x^1)=f(x^2)

31. Why can h not equal zero in the difference of a quotient function formula?
F of g and g of f
X is the hours to repair the boat. $1603-532=anwser/63 = x
Because the demintor of a quotient can never equal zero
Undefined

32. Draw or discuss an increasing function
Conditional
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
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

33. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
The secant line
Cannot be drawn in quizlet

34. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
(-infinity - +infinity)

35. What is the domain for the standard cubic function?
Negative inverse
(-infinity - +infinity)
1 -2 -3
Identity

36. What are the four steps for finding the inverse of a function?
Negative slope
Even
(-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

37. What is a function?
Horizontal left
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Three odd - cube root - identity - standard cubic
Y

38. Draw or discuss a decreasing function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined

39. What are the calculator instructions for the standard cubic function?
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
X math 3 graph
Negative slope

40. How many domains can you have pointing to one range?
As many as you like
M
Line ascending to the right gradually
Negative inverse

41. What is the slope of a perpendicular line?
Negative inverse
F(x)=IxI
X=a
Conditional

42. What is an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined slope
45 degree angle
(-infinity - +infinity)

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

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

45. $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?
Y=10
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
(-infinity - +infinity)
Only one

46. What is the domain for an absolute value function?
(-infinity - +infinity)
Equation of a line
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.
The minimum or maximum points

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

48. What is the formula for an identity function?
F(x+c) and f(x-c)
X=a
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x

49. $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)
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
When does a graph not define y as a function of x?
As many as you like

50. What is the domain of a square root function?
Parabola
Y= then enter the number then press graph
[0 -+infinity)
Same