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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 standard quadratic function?
X^2
X math 3 graph
Inconsitent
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

2. What is the vertical line formula?
[0 -+infinity)
X=a
Horizontal
(-infinity - 0]you[0 - +infinity)

3. What is another way to write f(x)=x - what type of function is this?
Inconsitent
Y=x - identity function
In a quotient
F(x)=suare root of x

4. How many domains can you have pointing to one range?
The second set of components of an ordered pair
As many as you like
Even
X=a

5. y=f(cx) What does this formula represent?
F(x)=IxI
0<c<1 - horizontal stretching
Postiive slope
Undefined

6. What does the standard cubic function look like on a graph?
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.
Postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Mirror image neg quadrant to that of the positive quandrant

7. How are functions normally written?
The first set of components of an ordered pair
As equations
X=a
When does a graph not define y as a function of x?

8. What is a relation?
Up
Y=x - identity function
Down
Any set of ordered pairs

9. What are the steps for solving a word problem?
[0 -+infinity)
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
Function notation
F(x) = x

10. What is the domain for a standard quadratic function?
Zero slope
(-infinity - +infinity)
Parabola - up one and right three
Set the x and y to zero and get the intercepts and then plot the points

11. What are the calculator instructions for the standard cubic function?
X math 3 graph
Function notation
Perpendicular line
F(x+h)-f(x)/h h cannot equal zero

12. What does the absolute value function look like?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Same
A V
F(x+h)-f(x)/h h cannot equal zero

13. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y=x^2 - graph
Postiive slope
Conditional
4 -6 -9

14. What is the range of the cube root function?
Square Root
The first set of components of an ordered pair
(-infinity - +infinity)
Horizontal

15. What is another way to write f(x)=x - what type of function is this?
Parraelle line
Y=x - identity 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
(-infinity - +infinity)

16. What is slope?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
A line passing through two distinct points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

17. Which direction does f(x-c) move
Horizontal right
4 -6 -9
Inconsistant
The first set of components of an ordered pair

18. x= a real number is what type of equation?
Three odd - cube root - identity - standard cubic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
Conditional

19. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
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= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

20. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
X math 3 graph
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

22. What is the formula for an absolute value function?
X2-x1 because the demonaitor of a quotient can never equal zero
Math 4 x - graph
F(x)=IxI
Cannot be drawn in quizlet

23. 4x+5x=8x is what type of an equation?
Conditional
F(x2)-f(x1) / x2-x1
Horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

24. $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?
Same
Horizontal right
C>1 - horizontal shrinking
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

25. What is a range?
Cannot be drawn in quizlet
Odd
The second set of components of an ordered pair
F(x)=suare root of x

26. What is the formula for slope?
The secant line
Change in y / change in x = rise / run = y2-y1 / x2-x1
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Parabola
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

28. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
When does a graph not define y as a function of x?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
1 -2 -3

29. What is the domain of the cube root function?
The first set of components of an ordered pair
As equations
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)

30. What are the calculator instructions for the cube root function?
Any set of ordered pairs
Math 4 x - graph
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet

31. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Perpendicular line
Piecewise
Cannot be drawn in quizlet

32. 4(x-7)=4x+28 is what type of an equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsitent
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

33. Is an identity function even - odd or neither?
Even
Math 4 x - graph
Parraelle line
Odd

34. How many ranges can you have for each domain?
[0 -+infinity)
45 degree angle
Only one
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. Is a standard quadratic function even - odd or neither?
Even
Equation of a line
The secant line
Odd

36. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
A V
Parabola
F(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes

37. What type of line is a constant function?
F(x) = x
Horizontal
Any set of ordered pairs
Y

38. In an identity function if f(10)=x than What is y?
Y=10
(-infinity - +infinity)
[0 -+infinity)
(-infinity - +infinity)

39. What type of slope do vertical lines have?
Undefined
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

40. x=no real numbers is what type of an equation?
Postiive slope
Inconsistant
Set the x and y to zero and get the intercepts and then plot the points
Odd

41. Is the square root function odd - even or neither?
Negative slope
2nd key - x^2 - graph
Neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. 4(x-7)=4x-28 is what type of an equation?
Identity
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
F(x)=x^3

43. Why can h not equal zero in the difference of a quotient function formula?
Undefined slope
Identity
Parabola - up one and right three
Because the demintor of a quotient can never equal zero

44. What shape is the standard quadratic function?
20+.05x=5+.10x x=minutes
A V
[0 -+infinity)
Parabola

45. What is slope?
Even
A line passing through two distinct points
(-infinity - +infinity)
M

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

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?
C>1 - horizontal shrinking
(-infinity - +infinity)
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
Inconsitent

48. What is the range of a square 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
F(x2)-f(x1) / x2-x1
[0 -+infinity)
Yes because two x's or domains can point to one y

49. What is the range of a square root function?
Identity
0<c<1 - horizontal stretching
[0 -+infinity)
Because the demintor of a quotient can never equal zero

50. Of the seven of algebra's common graph's how many are even?
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
Absolute Value - Constant and Standard Quadratic
A line passing through two distinct points