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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 type of line is a constant function?
Horizontal
Same
X is the hours to repair the boat. $1603-532=anwser/63 = x
Piecewise

2. What is the standard quadratic function?
A V
Parraelle line
X^2
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

3. What is the range of an identity function?
Function notation
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
(-infinity - +infinity)

4. What is the vertex?
Even
Y= then enter the number then press graph
The minimum or maximum points
Math 4 x - graph

5. What is the range for the standard cubic function?
Down
As many as you like
(-infinity - +infinity)
Yes because two x's or domains can point to one y

6. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
F(x)=x^3
F of g and g of f

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A line passing through two distinct points
Negative slope
Math 4 x - graph
The secant line

8. What is the vertical line test?
When does a graph not define y as a function of x?
Line ascending to the right gradually
Parabola
F(x)=+c and f(x)-c

9. Is an absolute value function even - odd or neither?
Horizontal
Parabola - up one and right three
[0 -+infinity)
Even

10. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
The slope of a line containing two points

11. What is the domain for the standard cubic function?
Three odd - cube root - identity - standard cubic
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Undefined

12. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Because the demintor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3

13. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The single number y=
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
Absolute Value - Constant and Standard Quadratic
Function notation

14. $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?
[0 -+infinity)
Negative inverse
45 degree angle
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

15. What type of line is an identity function?
45 degree angle
Yes because two x's or domains can point to one y
Because the demintor of a quotient can never equal zero
As equations

16. 4x+5x=8x is what type of an equation?
No because you cannot have one domain pointing at two y's or ranges
F(x)=IxI
Conditional
Undefined

17. What is the range for a standard quadratic function?
Absolute Value - Constant and Standard Quadratic
X=a
(-infinity - 0]you[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

18. What is a relation?
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
C>1 - horizontal shrinking
Math 4 x - graph
Any set of ordered pairs

19. What is the domain for the standard cubic function?
F(x) = x
F(x)=x^3
Conditional
(-infinity - +infinity)

20. How many domains can you have pointing to one range?
20+.05x=5+.10x x=minutes
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)
As many as you like

21. 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.
Any set of ordered pairs
A V
Odd

22. What can never equal zero in the slope formula and why?
The opposite coordinates
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1

23. What is a domain?
The first set of components of an ordered pair
F(x)=+c and f(x)-c
0<c<1 - horizontal stretching
(-infinity - +infinity)

24. What are the calculator instructions for the cube root function?
Math 4 x - graph
M
Mirror image neg quadrant to that of the positive quandrant
Horizontal

25. What type of slope do you have when m=? and the line is vertical?
Parabola - up one and right three
Undefined slope
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)

26. Draw or discuss a constant function
Cannot be drawn in quizlet
The minimum or maximum points
Horizontal
The minimum or maximum points

27. Is the square root function odd - even or neither?
The second set of components of an ordered pair
Neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Math 4 x - graph

28. What is the formula for the square root function?
Negative slope
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
F(x)=suare root of x

29. How do you calculate a constant function in your calculator?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The minimum or maximum points
F(x^1)=f(x^2)
Y= then enter the number then press graph

30. Of the seven of algebra's common graph's how many are neither?
Square Root
F(x)=3 square root x
X^2
(-infinity - +infinity)

31. What is the horizontal line formula?
Square Root
F(x2)-f(x1) / x2-x1
Parabola - up one and right three
Y=b

32. 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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined
No because you cannot have one domain pointing at two y's or ranges

33. What is the formula for an identity function?
F(x)=x^3
As many as you like
F(x) = x
As equations

34. What does the average rate of change formula solve?
Y
Approach neg toward x through zero and above positive close to x
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.
The slope of a line containing two points

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

36. What is the domain of the cube root function?
Postiive slope
Y= then enter the number then press graph
Y
(-infinity - +infinity)

37. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x)=+c and f(x)-c
The secant 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
Y

38. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
2nd catalog (zero key -) abs(x) - graph
Function notation
Three odd - cube root - identity - standard cubic

39. f(x) = x^2+3x+5 - what type of formula is this?
Y=IxI
Function notation
The first set of components of an ordered pair
(-infinity - +infinity)

40. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
C>1 - horizontal shrinking
4 -6 -9
F(x) = x
2nd key - x^2 - graph

41. What does linear equation mean?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Equation of a line
(-infinity - +infinity)

42. What is the range of a square root function?
Line ascending to the right gradually
Yes - all the domains points to one range
0<c<1 - horizontal stretching
[0 -+infinity)

43. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
1 -2 -3
The first set of components of an ordered pair
Inconsitent

44. How do you calculate a constant function in your calculator?
Parabola
Y= then enter the number then press graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Even

45. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
A line passing through two distinct points
Horizontal right
(-infinity - +infinity)

46. What type of slope do horizontal lines have?
Same
0<c<1 - horizontal stretching
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V

47. What is the range of an identity function?
Y=IxI
(-infinity - +infinity)
Cannot be drawn in quizlet
45 degree angle

48. Draw or discuss an increasing function
Cannot be drawn in quizlet
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
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

49. How many ranges can you have for each domain?
F(x2)-f(x1) / x2-x1
Horizontal right
Only one
Cannot be drawn in quizlet

50. y=f(cx) What does this formula represent?
When does a graph not define y as a function of x?
0<c<1 - horizontal stretching
Zero slope
45 degree angle