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. x=no real numbers is what type of an equation?
Inconsistant
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
45 degree angle
Identity

2. 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.
M
Postiive slope
Down

3. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Postiive slope
F(x+h)-f(x)/h h cannot equal zero
A line passing through two distinct points

4. What are two examples of composit functions?
F of g and g of f
The opposite coordinates
The single number y=
X=a

5. What is the domain of a square root function?
M
Piecewise
F(x)=x^3
[0 -+infinity)

6. Which direction does f(x)=+c move in standard absolute value formula?
Conditional
Up
F(x+c) and f(x-c)
Y=x^2 - graph

7. In an identity function if f(10)=x than What is y?
Y=10
[0 -+infinity)
Undefined
45 degree angle

8. What shape is the standard quadratic function?
45 degree angle
Absolute Value - Constant and Standard Quadratic
Parabola
Postiive slope

9. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative inverse
Only one
F(x) = x

10. What is the domain for an absolute value function?
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

11. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root

12. Draw or discuss an increasing function
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
A V

13. What type of line is an identity function?
Function notation
(-infinity - +infinity)
45 degree angle
Parraelle line

14. What can we substitute for f(x)?
The opposite coordinates
(-infinity - +infinity)
The opposite coordinates
Y

15. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
Conditional
The second set of components of an ordered pair
Math 4 x - graph

16. What is the formula for an absolute value function?
F(x)=IxI
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.
Horizontal left
Cannot be drawn in quizlet

17. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
When does a graph not define y as a function of x?
Down
Postiive slope
4 -6 -9

18. How many domains can you have pointing to one range?
As many as you like
M
2nd key - x^2 - graph
X = the original sale price and the formula is x - .40x =$276

19. What type of line is an identity function?
Negative slope
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10

20. Draw or discuss a constant function
Identity
Function notation
Identity
Cannot be drawn in quizlet

21. What are the calculator instructions for a standard quadratic equation?
In a quotient
F(x) = x
Y=x^2 - graph
M

22. What are the calculator instructions for absolute value?
The single number y=
2nd catalog (zero key -) abs(x) - graph
Parraelle line
Absolute Value - Constant and Standard Quadratic

23. What is the domain and range of a constant function?
0<c<1 - horizontal stretching
2nd key - x^2 - graph
(-infinity - +infinity)
Postiive slope

24. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
(-infinity - +infinity)
Even
45 degree angle

25. Which direction does f(x-c) move
F(x)=+c and f(x)-c
Cannot be drawn in quizlet
Cannot be drawn in quizlet
Horizontal right

26. x=all real numbers is what type of an equation?
X^2
Identity
A V
The slope of a line containing two points

27. How many domains can you have pointing to one range?
When does a graph not define y as a function of x?
Yes - all the domains points to one range
As many as you like
Negative slope

28. How would this formula move f(x)=(x+1)^2-3
Piecewise
Parabola - up one and right three
Function notation
Horizontal right

29. What is the vertex?
C>1 - horizontal shrinking
The minimum or maximum points
F(x+c) and f(x-c)
Odd

30. What is the formula for an absolute value function?
F(x)=IxI
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 = the original sale price and the formula is x - .40x =$276
45 degree angle

31. What type of line is a constant function?
Y=x - identity function
Horizontal
F(x)=x^3
Yes because two x's or domains can point to one y

32. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
[0 -+infinity)
Y= then enter the number then press graph
F(x^1)=f(x^2)

33. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Down
As equations
(-infinity - +infinity)

34. What are the four steps for finding the inverse of a function?
The single number y=
The minimum or maximum points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

35. 4(x-7)=4x-28 is what type of an equation?
Identity
F(x) = x
The first set of components of an ordered pair
Cannot be drawn in quizlet

36. What is a domain?
Y=b
The first set of components of an ordered pair
Any set of ordered pairs
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.

37. What is the vertical line formula?
Even
Perpendicular line
X=a
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. What is the domain of an identity function?
M
F(x)=suare root of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

39. What are the calculator instructions for absolute value?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
Yes - all the domains points to one range

40. What is the range of the cube root 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
(-infinity - +infinity)
4 -6 -9
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

41. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Horizontal
Conditional
M

42. What is another way of writing the absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
X = the original sale price and the formula is x - .40x =$276
Y=IxI
M

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
X2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range

44. Is an identity function even - odd or neither?
Y=10
(-infinity - +infinity)
Odd
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.

45. What is the domain for the standard cubic function?
Postiive slope
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle

46. What is the vertical line test?
45 degree angle
F of g and g of f
When does a graph not define y as a function of x?
(-infinity - +infinity)

47. $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?
F of g and g of f
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Set the x and y to zero and get the intercepts and then plot the points
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

48. What is the slope intercept formula? Define all the variables.
F(x)=+c and f(x)-c
Only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes - all the domains points to one range

49. What is the formula for the standard cubic function?
Piecewise
F(x)=x^3
Cannot be drawn in quizlet
[0 -+infinity)

50. What is the range for an absolute value function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Horizontal left
(-infinity - 0]you[0 - +infinity)