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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 is the domain for the standard cubic function?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Postiive slope
45 degree angle

2. What is the domain and range of a constant function?
Conditional
(-infinity - +infinity)
Perpendicular line
Line ascending to the right gradually

3. 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?
The single number y=
X is the hours to repair the boat. $1603-532=anwser/63 = x
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet

4. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X^2
20+.05x=5+.10x x=minutes
Piecewise
Undefined slope

5. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Math 4 x - graph
Three odd - cube root - identity - standard cubic
(f+g) - (f-g) - (fg) - (f/g) all of x

6. What is a relation?
Negative slope
Any set of ordered pairs
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking

7. What is the domain and range of a constant function?
Undefined slope
Same
Up
(-infinity - +infinity)

8. What is the horizontal line formula?
Y=b
F(x)=3 square root x
Identity
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

9. What equation does every line have? Discuss the variables.
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
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.
In a quotient

10. What is a range?
The second set of components of an ordered pair
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

11. What are the calculator instructions for absolute value?
Identity
Conditional
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph

12. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
As many as you like
Because the demintor of a quotient can never equal zero
1 -2 -3
Even

13. What is the range for an absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)
F(x) = x
[0 -+infinity)

14. What is the formula for an absolute value function?
F(x)=suare root of x
(-infinity - +infinity)
F(x)=IxI
The secant line

15. What is another way of writing the absolute value function?
Y=IxI
Undefined slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - graph

16. What is the formula for the square root function?
Equation of a line
Y=IxI
F(x)=suare root of x
X=a

17. What is the range for the standard cubic function?
F(x)=+c and f(x)-c
0<c<1 - horizontal stretching
0<c<1 - horizontal stretching
(-infinity - +infinity)

18. What does the average rate of change formula solve?
Y=x^2 - graph
The slope of a line containing two points
Odd
(-infinity - 0]you[0 - +infinity)

19. Which direction does f(x-c) move
Even
20+.05x=5+.10x x=minutes
Horizontal right
Conditional

20. What does the graph of the cube root function look like on the graph?
(-infinity - 0]you[0 - +infinity)
Approach neg toward x through zero and above positive close to x
Y
Function notation

21. What are two examples of composit functions?
(-infinity - +infinity)
F of g and g of f
Parabola - up one and right three
(-infinity - +infinity)

22. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes because two x's or domains can point to one y
F(x)=3 square root x

23. 4(x-7)=4x+28 is what type of an equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd
Inconsitent
The second set of components of an ordered pair

24. What direction does f(x)-c move in standard absolute value formula?
Y=IxI
F(x2)-f(x1) / x2-x1
Down
1 -2 -3

25. How many domains can you have pointing to one range?
0<c<1 - horizontal stretching
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.
Same
As many as you like

26. What shape is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
Parabola
F(x+c) and f(x-c)
Undefined

27. What is the range of the cube root function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
X=a
Yes because two x's or domains can point to one y

28. What equation does every line have? Discuss the variables.
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.
(-infinity - 0]you[0 - +infinity)
1 -2 -3
X=a

29. What is the formula for the cube root function?
Conditional
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)=3 square root x

30. What is a function?
M
Y=b
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic

31. What is the domain for an absolute value function?
Any set of ordered pairs
F of g and g of f
(-infinity - +infinity)
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

32. Of the seven of algebra's common graph's how many are neither?
Square Root
The second set of components of an ordered pair
Because the demintor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)

33. $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(x)=3 square root x
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
Yes because two x's or domains can point to one y
2nd key - x^2 - graph

34. What is the formula in both horizontal stretching and horizontal shrinking?
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Neither
No because you cannot have one domain pointing at two y's or ranges

35. In an identity function if f(10)=x than What is y?
Y=10
Identity
F(x)=3 square root x
Parraelle line

36. What is the letter used to represent slope?
Horizontal left
(-infinity - 0]you[0 - +infinity)
20+.05x=5+.10x x=minutes
M

37. What is the domain of the cube root function?
(-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
Negative inverse
The first set of components of an ordered pair

38. What is the vertical line test?
When does a graph not define y as a function of x?
F of g and g of f
20+.05x=5+.10x x=minutes
F(x^1)=f(x^2)

39. What points do you use to plot the inverse on a graph?
F(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X = the original sale price and the formula is x - .40x =$276
The opposite coordinates

40. What is slope?
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
A line passing through two distinct points
Conditional

41. What is the formula for the cube root function?
Three odd - cube root - identity - standard cubic
Y=IxI
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=3 square root x

42. What is a relation?
Horizontal left
Any set of ordered pairs
Equation of a line
A line passing through two distinct points

43. What is the slope of a perpendicular line?
M
Absolute Value - Constant and Standard Quadratic
Negative inverse
C>1 - horizontal shrinking

44. x=no real numbers is what type of an equation?
Approach neg toward x through zero and above positive close to x
Any set of ordered pairs
45 degree angle
Inconsistant

45. Which direction does f(x+c) move
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=+c and f(x)-c
Horizontal left
As equations

46. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Square Root
Line ascending to the right gradually
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

47. A flat line underlining one vertical line is a symbol for...
F(x2)-f(x1) / x2-x1
Perpendicular line
Y=IxI
(-infinity - +infinity)

48. 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.
X = the original sale price and the formula is x - .40x =$276
F(x^1)=f(x^2)
(-infinity - +infinity)

49. Is a constant function even - odd or neither?
Y=IxI
Inconsistant
45 degree angle
Even

50. How many domains can you have pointing to one range?
As many as you like
X^2
(-infinity - +infinity)
Odd