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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 does the absolute value function look like?
(-infinity - +infinity)
A V
2nd catalog (zero key -) abs(x) - graph
X math 3 graph

2. What is the range for the standard cubic function?
(-infinity - +infinity)
Postiive slope
Horizontal
F(x+c) and f(x-c)

3. How many ranges can you have for each domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Only one
F of g and g of f
(-infinity - +infinity)

4. What type of line is an identity function?
45 degree angle
Parabola
2nd key - x^2 - graph
Parraelle line

5. What is the domain of a square root function?
F(x)=IxI
The opposite coordinates
F(x+c) and f(x-c)
[0 -+infinity)

6. standard absolute value - horizontal shift formulas for left and right
Conditional
F(x+c) and f(x-c)
X math 3 graph
Mirror image neg quadrant to that of the positive quandrant

7. Which direction does f(x)=+c move in standard absolute value formula?
Up
Negative slope
The minimum or maximum points
Horizontal

8. What is the domain of an identity function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
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.
Odd

9. What is a constant function?
Horizontal
Y=x^2 - graph
F(x^1)=f(x^2)
(-infinity - +infinity)

10. What is the formula for to calculate the difference of a quotient function?
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero
Inconsitent
F(x2)-f(x1) / x2-x1

11. A flat line underlining one vertical line is a symbol for...
Perpendicular line
M
(-infinity - 0]you[0 - +infinity)
F(x) = x

12. What is the formula in both horizontal stretching and horizontal shrinking?
Up
20+.05x=5+.10x x=minutes
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

13. What direction does f(x)-c move in standard absolute value formula?
Horizontal
F of g and g of f
Down
C>1 - horizontal shrinking

14. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
No because you cannot have one domain pointing at two y's or ranges
Conditional
The single number y=

15. standard absolute value - horizontal shift formulas for left and right
The single number y=
F(x2)-f(x1) / x2-x1
F(x+c) and f(x-c)
45 degree angle

16. Which direction does f(x)=+c move in standard absolute value formula?
Only one
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
Parabola
Up

17. What is the formula for an identity function?
Negative slope
F(x) = x
Set the x and y to zero and get the intercepts and then plot the points
X2-x1 because the demonaitor of a quotient can never equal zero

18. Two vertical lines side by side are a symbol for what
Only one
(-infinity - 0]you[0 - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Parraelle line

19. Draw or discuss an increasing function
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1
M
F(x+c) and f(x-c)

20. What are the calculator instructions for the standard cubic function?
X math 3 graph
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
Horizontal left
Cannot be drawn in quizlet

21. What are the four steps for solving a linear equation?
Even
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.
Negative inverse
Parabola

22. standard absolute value - vertical shift formulas for positve and negative
The opposite coordinates
(-infinity - +infinity)
Same
F(x)=+c and f(x)-c

23. Of the seven of algebra's common graph's how many are even?
Parabola
When does a graph not define y as a function of x?
Line ascending to the right gradually
Absolute Value - Constant and Standard Quadratic

24. What type of slope do you have when m=? and the line is vertical?
Identity
(-infinity - +infinity)
Undefined slope
Math 4 x - graph

25. What does linear equation mean?
Equation of a line
Yes - all the domains points to one range
X = the original sale price and the formula is x - .40x =$276
Yes because two x's or domains can point to one y

26. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Conditional
F of g and g of f
Identity

27. $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
Yes - all the domains points to one range
(-infinity - +infinity)

28. What is the range of the cube root function?
(-infinity - +infinity)
M
Yes because two x's or domains can point to one y
Negative slope

29. What can we substitute for f(x)?
Y
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
F(x)=3 square root x

30. Which direction does f(x+c) move
Horizontal left
As equations
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

31. What are two examples of composit functions?
F(x)=3 square root x
F of g and g of f
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsitent

32. Is the standard cubic function odd - even or neither?
Odd
Horizontal right
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

33. x= a real number is what type of equation?
Conditional
(-infinity - 0]you[0 - +infinity)
The single number y=
Y

34. In an identity function if f(10)=x than What is y?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x2)-f(x1) / x2-x1
Y=10

35. What is the domain of a square root function?
[0 -+infinity)
M
1 -2 -3
Square Root

36. Which direction does f(x-c) move
Perpendicular line
Perpendicular line
Horizontal right
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

37. What are the algebra of functions?
Function notation
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet

38. What type of slope do you have when the line is horizontal and m=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
As equations
Zero slope

39. What is a domain?
(-infinity - +infinity)
[0 -+infinity)
The first set of components of an ordered pair
(-infinity - +infinity)

40. Is an identity function even - odd or neither?
Odd
The opposite coordinates
The minimum or maximum points
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.

41. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
45 degree angle
Undefined slope
Negative inverse

42. What is the standard quadratic function?
[0 -+infinity)
(-infinity - +infinity)
X^2
Undefined

43. What is the letter used to represent slope?
A line passing through two distinct points
Y=x^2 - graph
(-infinity - +infinity)
M

44. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
F of g and g of f
F(x)=+c and f(x)-c
In a quotient

45. What is the domain for the standard cubic function?
Function notation
No because you cannot have one domain pointing at two y's or ranges
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

46. 4(x-7)=4x+28 is what type of an equation?
Function notation
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs
Inconsitent

47. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F of g and g of f
(-infinity - +infinity)
The secant line
(-infinity - 0]you[0 - +infinity)

48. Draw or discuss a decreasing function
0<c<1 - horizontal stretching
Absolute Value - Constant and Standard Quadratic
Horizontal
Cannot be drawn in quizlet

49. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
Negative slope

50. What is another way to write f(x)=x - what type of function is this?
Equation of a line
When does a graph not define y as a function of x?
1 -2 -3
Y=x - identity function