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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. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant
Up
Yes - all the domains points to one range

2. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
X2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y
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

3. Of the seven of algebra's common graph's how many are neither?
Postiive slope
Cannot be drawn in quizlet
Square Root
Equation of a line

4. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
A V
As equations

5. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
As equations
F(x)=x^3
(-infinity - 0]you[0 - +infinity)

6. 4(x-7)=4x+28 is what type of an equation?
Yes because two x's or domains can point to one y
Inconsitent
F(x)=suare root of x
Piecewise

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

8. What is the standard quadratic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X^2
Any set of ordered pairs
Because the demintor of a quotient can never equal zero

9. What type of slope do horizontal lines have?
F of g and g of f
Same
Equation of a line
Y=b

10. What is a domain?
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero
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.
Y=10

11. What are the four steps for finding the inverse of a function?
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(f+g) - (f-g) - (fg) - (f/g) all of x
1 -2 -3

12. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
Odd
X math 3 graph

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

14. What type of slope do you have when a line rises from left to right and m>0?
F(x+c) and f(x-c)
[0 -+infinity)
Postiive slope
Yes because two x's or domains can point to one y

15. Which direction does f(x)=+c move in standard absolute value formula?
F(x) = x
Piecewise
X2-x1 because the demonaitor of a quotient can never equal zero
Up

16. What are the algebra of functions?
2nd catalog (zero key -) abs(x) - graph
X math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes

17. What are the steps for solving a word problem?
Even
Identity
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
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

18. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The secant line
Inconsistant
Math 4 x - graph
4 -6 -9

19. What is the domain and range of a constant function?
Cannot be drawn in quizlet
In a quotient
F(x)=+c and f(x)-c
(-infinity - +infinity)

20. What are the steps for solving a word problem?
Cannot be drawn in quizlet
Math 4 x - graph
Yes - all the domains points to one range
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

21. What does the absolute value function look like?
A V
F(x) = x
(-infinity - +infinity)
As many as you like

22. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
The secant line
C>1 - horizontal shrinking

23. What type of function would you use to calculate the most advantageous cell phone plan?
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
F(x) = x
Piecewise

24. What type of slope do you have when a line falls left to right and m<0?
Mirror image neg quadrant to that of the positive quandrant
Negative slope
Y=b
Horizontal left

25. What type of line is an identity function?
Y=b
45 degree angle
Parabola - up one and right three
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

26. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The secant line
Undefined slope
4 -6 -9
X = the original sale price and the formula is x - .40x =$276

27. What does the average rate of change formula solve?
The slope of a line containing two points
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic
The opposite coordinates

28. Which direction does f(x-c) move
Horizontal right
Because the demintor of a quotient can never equal zero
Identity
Horizontal left

29. What does the absolute value function look like?
Identity
F(x2)-f(x1) / x2-x1
A V
Y=10

30. x=no real numbers is what type of an equation?
Conditional
Even
Inconsistant
2nd catalog (zero key -) abs(x) - graph

31. 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.
Mirror image neg quadrant to that of the positive quandrant
Y
Parabola

32. What is the formula for an absolute value function?
F(x)=IxI
Absolute Value - Constant and Standard Quadratic
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.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

33. What is the domain for the standard cubic function?
Postiive slope
Odd
(-infinity - +infinity)
Undefined slope

34. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
F(x)=+c and f(x)-c
Parraelle line
Absolute Value - Constant and Standard Quadratic

35. Is the standard cubic function odd - even or neither?
Odd
A line passing through two distinct points
Only one
The second set of components of an ordered pair

36. How many domains can you have pointing to one range?
[0 -+infinity)
As many as you like
(-infinity - +infinity)
Conditional

37. What is a range?
F(x)=IxI
The second set of components of an ordered pair
Y=b
Math 4 x - graph

38. x= a real number is what type of equation?
Cannot be drawn in quizlet
Conditional
A V
(-infinity - 0]you[0 - +infinity)

39. How many domains can you have pointing to one range?
The first set of components of an ordered pair
(-infinity - +infinity)
As many as you like
Zero slope

40. Is a constant function even - odd or neither?
Even
Yes - all the domains points to one range
Undefined slope
F(x)=suare root of x

41. What is the range for a standard quadratic function?
No because you cannot have one domain pointing at two y's or ranges
F(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
F(x)=+c and f(x)-c
Yes - all the domains points to one range

43. How do you graph Ax+By+C=0?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Square Root

44. What is the formula for to calculate the difference of a quotient function?
45 degree angle
Function notation
Parraelle line
F(x+h)-f(x)/h h cannot equal zero

45. Is a standard quadratic function even - odd or neither?
Even
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(f+g) - (f-g) - (fg) - (f/g) all of x

46. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
Y=x - identity function
(-infinity - +infinity)

47. In an identity function if f(10)=x than What is y?
Conditional
Y=10
Same
F(x)=x^3

48. What shape is the standard quadratic function?
C>1 - horizontal shrinking
Horizontal
Mirror image neg quadrant to that of the positive quandrant
Parabola

49. What is the vertical line formula?
F(x^1)=f(x^2)
Y=x - identity function
X^2
X=a

50. What type of slope do vertical lines have?
Undefined
(-infinity - +infinity)
Even
Up