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 the formula for the standard cubic function?
Y=IxI
Horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=x^3

2. What are the calculator instructions for the cube root function?
Math 4 x - graph
Postiive slope
Same
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

3. What is the range of the constant function?
F(x) = x
X=a
4 -6 -9
The single number y=

4. What is the standard quadratic function?
X math 3 graph
The second set of components of an ordered pair
Math 4 x - graph
X^2

5. What is the vertical line formula?
Approach neg toward x through zero and above positive close to x
Y=x - identity function
F of g and g of f
X=a

6. What is a constant function?
Math 4 x - graph
F(x^1)=f(x^2)
Equation of a line
Odd

7. x=no real numbers is what type of an equation?
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
Square Root
X^2
Inconsistant

8. Is an identity function even - odd or neither?
Y=b
Odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

9. What is a function?
[0 -+infinity)
Because the demintor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1

10. What is a relation?
Any set of ordered pairs
As equations
(-infinity - +infinity)
Parabola - up one and right three

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
As many as you like
The secant line
The minimum or maximum points

12. What does the graph of the cube root function look like on the graph?
Up
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What is the formula for an identity function?
A V
Y= then enter the number then press graph
F(x+c) and f(x-c)
F(x) = x

14. 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?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line

15. What is the range for an absolute value function?
2nd key - x^2 - graph
Horizontal
(-infinity - 0]you[0 - +infinity)
As many as you like

16. Of the seven of algebra's common graph's how many are odd?
X math 3 graph
Three odd - cube root - identity - standard cubic
F(x+h)-f(x)/h h cannot equal zero
Even

17. How do you graph Ax+By+C=0?
4 -6 -9
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.
Set the x and y to zero and get the intercepts and then plot the points
Inconsitent

18. What is a domain?
The first set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
Y
(f+g) - (f-g) - (fg) - (f/g) all of x

19. What does the square root function look like on a graph?
Line ascending to the right gradually
Zero slope
As equations
X math 3 graph

20. How many domains can you have pointing to one range?
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
Y
As many as you like

21. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Set the x and y to zero and get the intercepts and then plot the points
Postiive slope
F(x^1)=f(x^2)

22. What type of line is a constant function?
Identity
Horizontal
Square Root
Identity

23. What does the absolute value function look like?
Parabola
Conditional
Horizontal
A V

24. What are the algebra of functions?
The second set of components of an ordered pair
Odd
(f+g) - (f-g) - (fg) - (f/g) all of x
No because you cannot have one domain pointing at two y's or ranges

25. What is the range of the cube root function?
Y= then enter the number then press graph
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
A V

26. What type of line is a constant function?
Horizontal
Negative slope
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

27. What is the point slope formula and when do you use it?
F(x+h)-f(x)/h h cannot equal zero
M
Inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. What is the letter used to represent slope?
M
F(x)=+c and f(x)-c
2nd key - x^2 - graph
X = the original sale price and the formula is x - .40x =$276

29. What is a constant function?
[0 -+infinity)
The second set of components of an ordered pair
Any set of ordered pairs
F(x^1)=f(x^2)

30. 4x+5x=8x is what type of an equation?
Parabola
Perpendicular line
Conditional
Even

31. Why can h not equal zero in the difference of a quotient function formula?
F of g and g of f
Because the demintor of a quotient can never equal zero
Square Root
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.

32. What is an identity function?
F(x)=IxI
A line passing through two distinct points
(-infinity - +infinity)
45 degree angle

33. What are the calculator instructions for a standard quadratic equation?
Cannot be drawn in quizlet
Y=x^2 - graph
Conditional
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.

34. Which direction does f(x)=+c move in standard absolute value formula?
Up
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like
Y= then enter the number then press graph

35. What is the domain of an identity function?
The slope of a line containing two points
Mirror image neg quadrant to that of the positive quandrant
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

36. What is the range for the standard cubic function?
Undefined
45 degree angle
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

37. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
F(x^1)=f(x^2)
Conditional
Parabola

38. How do you calculate a constant function in your calculator?
Parabola - up one and right three
1 -2 -3
F(x)=IxI
Y= then enter the number then press graph

39. What does linear equation mean?
(-infinity - +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
F(x2)-f(x1) / x2-x1
Equation of a line

40. What is a domain?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The first set of components of an ordered pair
[0 -+infinity)

41. What points do you use to plot the inverse on a graph?
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
The opposite coordinates
X^2
Identity

42. Draw or discuss an increasing function
Cannot be drawn in quizlet
X math 3 graph
F(x+c) and f(x-c)
Same

43. In an identity function if f(10)=x than What is y?
Yes - all the domains points to one range
The second set of components of an ordered pair
F(x) = x
Y=10

44. What does linear equation mean?
Equation of a line
Parabola - up one and right three
The secant 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.

45. A flat line underlining one vertical line is a symbol for...
Y=x - identity function
Y
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

46. What shape is the standard quadratic function?
Perpendicular line
Parabola
45 degree angle
(-infinity - 0]you[0 - +infinity)

47. x= a real number is what type of equation?
Even
X=a
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.
Conditional

48. What is the range of an identity function?
(-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?
F(x2)-f(x1) / x2-x1

49. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Horizontal left
Odd
F(x+h)-f(x)/h h cannot equal zero
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

50. Draw or discuss a decreasing function
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero
In a quotient
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse