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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. x=no real numbers is what type of an equation?
Down
Three odd - cube root - identity - standard cubic
Inconsistant
Y

2. What is the domain for a standard quadratic function?
X = the original sale price and the formula is x - .40x =$276
Horizontal left
(-infinity - +infinity)
The first set of components of an ordered pair

3. standard absolute value - horizontal shift formulas for left and right
X=a
F(x+c) and f(x-c)
As many as you like
Horizontal

4. What does the graph of the cube root function look like on the graph?
F(x)=x^3
Approach neg toward x through zero and above positive close to x
Parabola
(-infinity - +infinity)

5. What is a relation?
Any set of ordered pairs
Even
Even
Odd

6. What type of slope do horizontal lines have?
Horizontal right
Same
Horizontal
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.

7. y=f(cx) What does this formula represent?
X = the original sale price and the formula is x - .40x =$276
Y=IxI
0<c<1 - horizontal stretching
Y=x - identity function

8. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
No because you cannot have one domain pointing at two y's or ranges
2nd key - x^2 - graph
45 degree angle
Yes - all the domains points to one range

9. What is an identity function?
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
Negative inverse
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle

10. What is the range of an identity function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Neither
Cannot be drawn in quizlet

11. What is the formula for the cube root function?
Even
As equations
F(x)=3 square root x
Y=b

12. What is a range?
The second set of components of an ordered pair
Negative inverse
F(x)=3 square root x
Parabola - up one and right three

13. 4(x-7)=4x-28 is what type of an equation?
Identity
Piecewise
F(x)=+c and f(x)-c
Y=x - identity function

14. What is the point slope formula and when do you use it?
F(x)=suare root of x
Undefined slope
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

15. What is the range for an absolute value function?
45 degree angle
Conditional
Odd
(-infinity - 0]you[0 - +infinity)

16. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x+h)-f(x)/h h cannot equal zero
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1
4 -6 -9

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X^2
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

18. 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?
Yes because two x's or domains can point to one y
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y
F(x)=suare root of x

19. What is slope?
Postiive slope
45 degree angle
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic

20. What is the domain of a square root function?
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
0<c<1 - horizontal stretching
Horizontal

21. What is the domain for an absolute value function?
(-infinity - +infinity)
The single number y=
Even
Only one

22. What is the range of the constant function?
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
The single number y=

23. What is the formula in both horizontal stretching and horizontal shrinking?
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsitent

24. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(-infinity - +infinity)
Only one
Identity
20+.05x=5+.10x x=minutes

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

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26. What is the domain and range of a constant function?
1 -2 -3
Odd
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

27. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
Parabola
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

28. What is the range of the cube root function?
(-infinity - +infinity)
Neither
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

29. What is the point slope formula and when do you use it?
Y=x^2 - graph
Undefined
Perpendicular line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. Is the standard cubic function odd - even or neither?
A V
F(x+h)-f(x)/h h cannot equal zero
Horizontal right
Odd

31. 4(x-7)=4x-28 is what type of an equation?
Piecewise
45 degree angle
Identity
1 -2 -3

32. What is a relation?
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
Any set of ordered pairs
Horizontal right
F(x^1)=f(x^2)

33. What type of slope do horizontal lines have?
Same
(-infinity - +infinity)
Y=b
Negative slope

34. When is the only time (-infinity - +infinity) is not the domain?
F(x^1)=f(x^2)
Conditional
F(x+c) and f(x-c)
In a quotient

35. Two vertical lines side by side are a symbol for what
Parraelle line
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.
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.
As equations

36. What type of slope do you have when m=? and the line is vertical?
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
Undefined slope
F(x+h)-f(x)/h h cannot equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. What type of line is a constant function?
Horizontal right
Horizontal
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

38. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
0<c<1 - horizontal stretching
C>1 - horizontal shrinking

39. What is the range of a square root function?
Only one
[0 -+infinity)
Neither
C>1 - horizontal shrinking

40. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Postiive slope
Y=x^2 - graph
X = the original sale price and the formula is x - .40x =$276

41. Draw or discuss a decreasing function
Negative slope
Approach neg toward x through zero and above positive close to x
F(x)=3 square root x
Cannot be drawn in quizlet

42. What does the standard cubic function look like on a graph?
Y=x - identity function
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.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant

43. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
Neither
Even
X math 3 graph

44. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Zero slope
Math 4 x - graph
X = the original sale price and the formula is x - .40x =$276

45. What is an identity 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
Down
Yes - all the domains points to one range
45 degree angle

46. What is the slope intercept formula? Define all the variables.
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

47. What type of function would you use to calculate the most advantageous cell phone plan?
Even
Piecewise
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+c) and f(x-c)

48. What is the vertical line test?
(-infinity - +infinity)
When does a graph not define y as a function of x?
F(x)=suare root of x
0<c<1 - horizontal stretching

49. What does the absolute value function look like?
A V
Set the x and y to zero and get the intercepts and then plot the points
Horizontal right
(-infinity - +infinity)

50. What shape is the standard quadratic function?
F(x)=suare root of x
Parabola
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 slope of a line containing two points