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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 another way to write f(x)=x - what type of function is this?
X2-x1 because the demonaitor of a quotient can never equal zero
X^2
Even
Y=x - identity function

2. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Even
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

3. What does the average rate of change formula solve?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic
The slope of a line containing two points

4. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
F(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent

5. What are the steps for solving a word problem?
Yes because two x's or domains can point to one y
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(x)=+c and f(x)-c
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

6. What points do you use to plot the inverse on a graph?
Y=IxI
The opposite coordinates
Cannot be drawn in quizlet
A line passing through two distinct points

7. What is a domain?
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
The first set of components of an ordered pair
F(x+c) and f(x-c)
Undefined slope

8. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x+c) and f(x-c)
4 -6 -9

9. What are the calculator instructions for the cube root function?
Identity
4 -6 -9
Math 4 x - graph
(-infinity - +infinity)

10. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Even
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

11. What are the calculator instructions for the standard cubic function?
X math 3 graph
Neither
The opposite coordinates
(-infinity - +infinity)

12. What does the standard cubic function look like on a graph?
Inconsitent
Mirror image neg quadrant to that of the positive quandrant
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph

13. What is a constant function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points
F(x^1)=f(x^2)
Even

14. What type of line is a constant function?
Y= then enter the number then press graph
Horizontal
0<c<1 - horizontal stretching
The secant line

15. 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 hours to repair the boat. $1603-532=anwser/63 = x
X = the original sale price and the formula is x - .40x =$276
Negative inverse
(-infinity - +infinity)

16. What is the range for the standard cubic function?
Conditional
Horizontal
(-infinity - +infinity)
Y=10

17. y^2+x=4 is this a function? Why?

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18. What is the vertical line formula?
X=a
Cannot be drawn in quizlet
Math 4 x - graph
Line ascending to the right gradually

19. Two vertical lines side by side are a symbol for what
Cannot be drawn in quizlet
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Parraelle line

20. What direction does f(x)-c move in standard absolute value formula?
Only one
Parabola
Down
When does a graph not define y as a function of x?

21. Is the standard cubic function odd - even or neither?
Any set of ordered pairs
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
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.
Odd

22. y=f(cx) What does this formula represent?
Postiive slope
0<c<1 - horizontal stretching
Horizontal right
2nd catalog (zero key -) abs(x) - graph

23. What is the vertical line formula?
X^2
X=a
Math 4 x - graph
Horizontal left

24. How many ranges can you have for each domain?
(-infinity - +infinity)
F(x)=x^3
Only one
A line passing through two distinct points

25. Is a constant function even - odd or neither?
Zero slope
Even
Inconsistant
(-infinity - +infinity)

26. Is the square root function odd - even or neither?
Y=10
Neither
In a quotient
F(x)=IxI

27. x=all real numbers is what type of an equation?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Parabola
Identity

28. What points do you use to plot the inverse on a graph?
The opposite coordinates
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant

29. y=f(cx) - What does this formula represent?
0<c<1 - horizontal stretching
X=a
C>1 - horizontal shrinking
4 -6 -9

30. What is the domain of an identity function?
Y=10
When does a graph not define y as a function of x?
F of g and g of f
(-infinity - +infinity)

31. How do you calculate a constant function in your calculator?
2nd key - x^2 - graph
(-infinity - +infinity)
The opposite coordinates
Y= then enter the number then press graph

32. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X2-x1 because the demonaitor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276
As many as you like
Conditional

33. What is the domain for an absolute value function?
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
M
F(x^1)=f(x^2)
(-infinity - +infinity)

34. Of the seven of algebra's common graph's how many are even?
Parraelle line
45 degree angle
Absolute Value - Constant and Standard Quadratic
(-infinity - 0]you[0 - +infinity)

35. What is an identity function?
When does a graph not define y as a function of x?
45 degree angle
Negative slope
Inconsitent

36. What is the range of the constant function?
The slope of a line containing two points
As many as you like
The single number y=
Inconsistant

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Even
1 -2 -3
Postiive slope
Y=x^2 - graph

38. y=f(cx) What does this formula represent?
[0 -+infinity)
Yes because two x's or domains can point to one y
0<c<1 - horizontal stretching
Math 4 x - graph

39. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
(-infinity - +infinity)
Piecewise
C>1 - horizontal shrinking

40. What is an identity function?
No because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet
A V
45 degree angle

41. What is the standard quadratic function?
X^2
Zero slope
(-infinity - +infinity)
Down

42. What type of slope do you have when the line is horizontal and m=0?
M
(-infinity - +infinity)
Zero slope
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

43. What is a range?
X math 3 graph
Cannot be drawn in quizlet
Only one
The second set of components of an ordered pair

44. What is a constant function?
Y
F(x^1)=f(x^2)
Yes - all the domains points to one range
Odd

45. Is an absolute value function even - odd or neither?
No because you cannot have one domain pointing at two y's or ranges
Even
Parabola
F(x)=3 square root x

46. Is a standard quadratic function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points
Even
M

47. x=no real numbers is what type of an equation?
Approach neg toward x through zero and above positive close to x
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsistant
X is the hours to repair the boat. $1603-532=anwser/63 = x

48. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Horizontal
The secant line
Y=x^2 - graph
(-infinity - +infinity)

49. What equation does every line have? Discuss the variables.
Yes - all the domains points to one range
Function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the 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.

50. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Neither
M
X is the hours to repair the boat. $1603-532=anwser/63 = x