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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. 4(x-7)=4x+28 is what type of an equation?
Identity
Parraelle line
Inconsitent
Undefined slope

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

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

4. What is the domain for a standard quadratic function?
F(x)=suare root of x
Same
(-infinity - +infinity)
1 -2 -3

5. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity
F(x+h)-f(x)/h h cannot equal zero
Conditional

6. Of the seven of algebra's common graph's how many are neither?
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.
Yes because two x's or domains can point to one y
In a quotient
Square Root

7. 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
X math 3 graph
Cannot be drawn in quizlet

8. What is the vertical line formula?
F(x+c) and f(x-c)
Only one
X=a
Set the x and y to zero and get the intercepts and then plot the points

9. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
A V
Parabola - up one and right three
F(x)=3 square root x

10. $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?
4 -6 -9
When does a graph not define y as a function of 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
Piecewise

11. How do you graph Ax+By+C=0?
Neither
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
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

12. 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?
Equation of a line
45 degree angle
X is the hours to repair the boat. $1603-532=anwser/63 = x
Yes because two x's or domains can point to one y

13. x=all real numbers is what type of an equation?
[0 -+infinity)
Identity
X math 3 graph
(-infinity - +infinity)

14. What are the calculator instructions for a square root function?
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.
(-infinity - +infinity)
2nd key - x^2 - graph
Postiive slope

15. What shape is the standard quadratic function?
X^2
Negative slope
Parabola
Conditional

16. 4(x-7)=4x+28 is what type of an equation?
Yes because two x's or domains can point to one y
Inconsitent
Square Root
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.

17. What is the formula for the standard cubic function?
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276
F(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

18. What does the graph of the cube root function look like on the graph?
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
Undefined slope
Cannot be drawn in quizlet

19. What is the point slope formula and when do you use it?
Same
(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)
2nd catalog (zero key -) abs(x) - graph

20. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=x^3
Y=x^2 - graph
Y=x^2 - graph

21. What is the domain and range of a constant function?
As equations
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
F(x+c) and f(x-c)

22. Draw or discuss an increasing function
Cannot be drawn in quizlet
Identity
(-infinity - +infinity)
Y=10

23. What is the range of an identity function?
F(x+c) and f(x-c)
X^2
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 - +infinity)

24. What is the letter used to represent slope?
Up
F(x2)-f(x1) / x2-x1
M
No because you cannot have one domain pointing at two y's or ranges

25. What is the range for the standard cubic function?
45 degree angle
(-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
Square Root

26. x= a real number is what type of equation?
Conditional
The single number y=
Negative slope
Piecewise

27. What is a relation?
(-infinity - +infinity)
Any set of ordered pairs
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.
[0 -+infinity)

28. standard absolute value - horizontal shift formulas for left and right
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
(-infinity - +infinity)
F(x+c) and f(x-c)
Horizontal right

29. What points do you use to plot the inverse on a graph?
The opposite coordinates
Only one
[0 -+infinity)
Any set of ordered pairs

30. What is the formula for the square root function?
F(x)=suare root of x
X = the original sale price and the formula is x - .40x =$276
F(x) = x
Square Root

31. A flat line underlining one vertical line is a symbol for...
Perpendicular line
2nd key - x^2 - graph
[0 -+infinity)
Y=x - identity function

32. Which direction does f(x-c) move
Negative inverse
Horizontal right
Y=b
M

33. What is the vertical line test?
X^2
When does a graph not define y as a function of x?
Conditional
Even

34. What is the domain for an absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Undefined slope
The single number y=

35. What is the range of the constant function?
45 degree angle
The single number y=
Y=IxI
Identity

36. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
F(x+c) and f(x-c)
Negative slope
Function notation

37. Is an absolute value function even - odd or neither?
Even
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
No because you cannot have one domain pointing at two y's or ranges

38. What is the range for a standard quadratic function?
The second set of components of an ordered pair
Conditional
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

39. 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.
F(x)=+c and f(x)-c
45 degree angle
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

40. What type of slope do horizontal lines have?
Zero slope
F of g and g of f
Same
(-infinity - +infinity)

41. How would this formula move f(x)=(x+1)^2-3
45 degree angle
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola - up one and right three

42. What is the formula for slope?
Cannot be drawn in quizlet
The second set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity

43. x= a real number is what type of equation?
Conditional
Y=x^2 - graph
M
(-infinity - +infinity)

44. x=all real numbers is what type of an equation?
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
Piecewise
Horizontal

45. What does the square root function look like on a graph?
Even
Line ascending to the right gradually
F(x2)-f(x1) / x2-x1
Mirror image neg quadrant to that of the positive quandrant

46. What is the formula for an identity function?
F(x) = x
Y=x^2 - graph
Parabola
Y=10

47. What are the calculator instructions for absolute value?
The single number y=
Function notation
Even
2nd catalog (zero key -) abs(x) - graph

48. What is the range of the cube root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Horizontal left
Inconsistant

49. What is a constant function?
M
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes

50. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
A V
Function notation
4 -6 -9