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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. In an identity function if f(10)=x than What is y?
A line passing through two distinct points
The first set of components of an ordered pair
Y=10
F(x^1)=f(x^2)

2. Draw or discuss a constant function
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph
A V

3. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
No because you cannot have one domain pointing at two y's or ranges
C>1 - horizontal shrinking
F(x+c) and f(x-c)

4. Is the square root function odd - even or neither?
Neither
X = the original sale price and the formula is x - .40x =$276
X is the hours to repair the boat. $1603-532=anwser/63 = x
Three odd - cube root - identity - standard cubic

5. 4x+5x=8x is what type of an equation?
Even
Approach neg toward x through zero and above positive close to x
Inconsitent
Conditional

6. Is an identity function even - odd or neither?
45 degree angle
Piecewise
The minimum or maximum points
Odd

7. Is the square root function odd - even or neither?
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
(-infinity - +infinity)
Neither
(-infinity - +infinity)

8. What is the range of the constant function?
X^2
The single number y=
45 degree angle
Identity

9. What is a relation?
The secant line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
As equations

10. What is the point slope formula and when do you use it?
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
The second set of components of an ordered pair

11. What is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
Square Root
X^2
Function notation

12. What is a constant function?
F(x^1)=f(x^2)
The opposite coordinates
Parabola
Function notation

13. What is the range for the standard cubic function?
As many as you like
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
1 -2 -3

14. What is the vertical line formula?
Because the demintor of a quotient can never equal zero
Yes because two x's or domains can point to one y
X=a
[0 -+infinity)

15. What is the average rate of change formula?
F(x+h)-f(x)/h h cannot equal zero
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

16. What is the range of the cube root function?
Identity
The opposite coordinates
Yes because two x's or domains can point to one y
(-infinity - +infinity)

17. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Yes - all the domains points to one range
(-infinity - 0]you[0 - +infinity)
X = the original sale price and the formula is x - .40x =$276
Postiive slope

18. Which direction does f(x)=+c move in standard absolute value formula?
Math 4 x - graph
C>1 - horizontal shrinking
Only one
Up

19. What are two examples of composit functions?
(-infinity - +infinity)
F of g and g of f
Only one
As many as you like

20. What is the range of an identity function?
Yes - all the domains points to one range
F(x2)-f(x1) / x2-x1
Identity
(-infinity - +infinity)

21. 4(x-7)=4x+28 is what type of an equation?
Function notation
Because the demintor of a quotient can never equal zero
When does a graph not define y as a function of x?
Inconsitent

22. What is the formula for the standard cubic function?
Only one
F(x)=x^3
[0 -+infinity)
The single number y=

23. What is the formula for an identity function?
Parabola
(-infinity - +infinity)
F(x) = x
Cannot be drawn in quizlet

24. What are the calculator instructions for the standard cubic function?
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
X math 3 graph
F(x) = x

25. What equation does every line have? Discuss the variables.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
In a quotient
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

26. What are the four steps for finding the inverse of a function?
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

27. What does linear equation mean?
Y=x - identity function
(-infinity - +infinity)
Equation of a line
0<c<1 - horizontal stretching

28. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
Cannot be drawn in quizlet

29. How many ranges can you have for each domain?
Undefined
F(x^1)=f(x^2)
Only one
Y=10

30. y=f(cx) - What does this formula represent?
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)
A line passing through two distinct points
C>1 - horizontal shrinking

31. 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?
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
Cannot be drawn in quizlet
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x

32. What are two examples of composit functions?
Y=b
(-infinity - +infinity)
(-infinity - +infinity)
F of g and g of f

33. What are the calculator instructions for a standard quadratic equation?
1 -2 -3
Yes - all the domains points to one range
Y=IxI
Y=x^2 - graph

34. Of the seven of algebra's common graph's how many are odd?
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
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points

35. What are the calculator instructions for absolute value?
Conditional
Horizontal left
X is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph

36. What does the average rate of change formula solve?
Parraelle line
Inconsistant
Same
The slope of a line containing two points

37. What direction does f(x)-c move in standard absolute value formula?
Horizontal left
Down
Same
F(x2)-f(x1) / x2-x1

38. What is the domain for an absolute value function?
The single number y=
X math 3 graph
(-infinity - +infinity)
Down

39. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X is the hours to repair the boat. $1603-532=anwser/63 = x
20+.05x=5+.10x x=minutes
F(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points

40. What is the slope of a perpendicular line?
The minimum or maximum points
Negative inverse
0<c<1 - horizontal stretching
The minimum or maximum points

41. 4x+5x=8x is what type of an equation?
Identity
Conditional
When does a graph not define y as a function of x?
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. What type of slope do you have when m=? and the line is vertical?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional
Undefined slope
As many as you like

43. What is the domain for a standard quadratic function?
C>1 - horizontal shrinking
(-infinity - +infinity)
Yes - all the domains points to one range
Horizontal right

44. x=all real numbers is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
45 degree angle
Identity

45. What is another way of writing the absolute value function?
(-infinity - +infinity)
Piecewise
Y=IxI
(-infinity - +infinity)

46. What does linear equation mean?
Equation of a line
(-infinity - +infinity)
(-infinity - +infinity)
Yes - all the domains points to one range

47. A flat line underlining one vertical line is a symbol for...
Perpendicular line
F(x)=+c and f(x)-c
4 -6 -9
Horizontal right

48. What is the range of a square root function?
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
Parabola - up one and right three
Odd

49. Is the standard cubic function odd - even or neither?
Neither
Only one
0<c<1 - horizontal stretching
Odd

50. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Up
45 degree angle
Parabola - up one and right three