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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 can we substitute for f(x)?
The second set of components of an ordered pair
Because the demintor of a quotient can never equal zero
The secant line
Y

2. 4(x-7)=4x-28 is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20+.05x=5+.10x x=minutes
Odd
Identity

3. What is the formula for the standard cubic function?
Undefined slope
Y=b
F(x)=x^3
F of g and g of f

4. What is the point slope formula and when do you use it?
Y=IxI
(-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
X = the original sale price and the formula is x - .40x =$276

5. What is the domain for a standard quadratic function?
Horizontal left
M
(-infinity - +infinity)
Parraelle line

6. What is the range of the constant function?
The minimum or maximum points
The single number y=
Horizontal left
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

7. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
20+.05x=5+.10x x=minutes
F(x2)-f(x1) / x2-x1
Any set of ordered pairs

8. What are the four steps for solving a linear equation?
Conditional
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.
F(x)=3 square root x
Identity

9. What is the range for the standard cubic function?
(-infinity - +infinity)
As many as you like
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Math 4 x - graph

10. What is the formula for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
Any set of ordered pairs
X=a
F(x)=x^3

11. What type of slope do horizontal lines have?
Conditional
Horizontal right
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same

12. What is a domain?
Absolute Value - Constant and Standard Quadratic
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.
The first set of components of an ordered pair
Yes because two x's or domains can point to one y

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Parabola
Perpendicular line
Yes - all the domains points to one range
2nd key - x^2 - graph

14. What points do you use to plot the inverse on a graph?
Identity
F(x)=x^3
The opposite coordinates
X=a

15. What is the domain of an identity function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +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
F(x)=suare root of x

16. What is the range of the constant function?
Any set of ordered pairs
F(x+c) and f(x-c)
The single number y=
Even

17. When is the only time (-infinity - +infinity) is not the domain?
Parraelle line
Line ascending to the right gradually
In a quotient
Undefined slope

18. What are the calculator instructions for absolute value?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x
Y=b

19. What is the domain for an absolute value function?
Conditional
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
45 degree angle

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

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21. standard absolute value - horizontal shift formulas for left and right
F(x)=suare root of x
F(x+c) and f(x-c)
A line passing through two distinct points
X math 3 graph

22. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic
Function notation

23. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

24. Is a constant function even - odd or neither?
A line passing through two distinct points
Even
As equations
Function notation

25. 4(x-7)=4x-28 is what type of an equation?
Identity
Math 4 x - graph
F(x^1)=f(x^2)
[0 -+infinity)

26. What is the range of an identity function?
Even
(-infinity - +infinity)
Down
The slope of a line containing two points

27. How would this formula move f(x)=(x+1)^2-3
The minimum or maximum points
(-infinity - +infinity)
Parabola - up one and right three
F(x+c) and f(x-c)

28. Of the seven of algebra's common graph's how many are neither?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x

29. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Even
The minimum or maximum points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. In an identity function if f(10)=x than What is y?
Any set of ordered pairs
[0 -+infinity)
Y=10
Y=IxI

31. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
Zero slope
F of g and g of f

32. What does linear equation mean?
Equation of a line
No because you cannot have one domain pointing at two y's or ranges
A line passing through two distinct points
X = the original sale price and the formula is x - .40x =$276

33. x= a real number is what type of equation?
The secant line
Zero slope
Neither
Conditional

34. x=all real numbers is what type of an equation?
Conditional
[0 -+infinity)
Identity
Any set of ordered pairs

35. How do you graph Ax+By+C=0?
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
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

36. What type of line is an identity function?
Yes because two x's or domains can point to one y
45 degree angle
Neither
Cannot be drawn in quizlet

37. What does the absolute value function look like?
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+c) and f(x-c)
M
A V

38. What are the algebra of functions?
Set the x and y to zero and get the intercepts and then plot the points
Any set of ordered pairs
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=

39. f(x) = x^2+3x+5 - what type of formula is this?
F(x)=suare root of x
Y=x^2 - graph
(-infinity - +infinity)
Function notation

40. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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(x^1)=f(x^2)
(-infinity - +infinity)
The single number y=

41. What is the domain and range of a constant function?
A line passing through two distinct points
Horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

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

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43. What type of line is a constant function?
Y
A V
2nd key - x^2 - graph
Horizontal

44. What is the vertex?
Yes - all the domains points to one range
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
F(x)=suare root of x

45. What is the domain of the cube root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
Even
(-infinity - +infinity)

46. What is the domain and range of a constant function?
Up
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Same

47. What is the formula for the cube root function?
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Only one
Math 4 x - graph

48. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Identity
[0 -+infinity)
X=a

49. What is the formula for an absolute value function?
Mirror image neg quadrant to that of the positive quandrant
F(x)=IxI
Because the demintor of a quotient can never equal zero
Odd

50. $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?
Even
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
Absolute Value - Constant and Standard Quadratic
0<c<1 - horizontal stretching