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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 is the horizontal line formula?
Horizontal
Y=b
Identity
As many as you like

2. What is the range for an absolute value function?
Yes - all the domains points to one range
X math 3 graph
Conditional
(-infinity - 0]you[0 - +infinity)

3. What is a function?
Odd
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b
Three odd - cube root - identity - standard cubic

4. What are two examples of composit functions?
(-infinity - 0]you[0 - +infinity)
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.
F of g and g of f
(-infinity - +infinity)

5. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range
(-infinity - 0]you[0 - +infinity)
F(x)=suare root of x

6. Which direction does f(x+c) move
Horizontal left
Same
F(x)=3 square root x
X math 3 graph

7. x= a real number is what type of equation?
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.
Conditional
4 -6 -9
Negative inverse

8. 4(x-7)=4x-28 is what type of an equation?
F(x+c) and f(x-c)
(-infinity - +infinity)
Identity
(-infinity - 0]you[0 - +infinity)

9. x= a real number is what type of equation?
Conditional
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)=IxI
(-infinity - 0]you[0 - +infinity)

10. What is the vertical line test?
Parabola
When does a graph not define y as a function of x?
Identity
As many as you like

11. What is the range of 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
The first set of components of an ordered pair
(-infinity - +infinity)
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. Of the seven of algebra's common graph's how many are odd?
As equations
Three odd - cube root - identity - standard cubic
F(x)=suare root of x
45 degree angle

13. Is the square root function odd - even or neither?
Neither
X=a
(f+g) - (f-g) - (fg) - (f/g) all of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

14. What is the domain of the cube root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
2nd key - x^2 - graph
(-infinity - +infinity)

15. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Y= then enter the number then press graph
45 degree angle
X = the original sale price and the formula is x - .40x =$276
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

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

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17. What is a constant function?
X^2
(-infinity - +infinity)
F(x^1)=f(x^2)
Yes - all the domains points to one 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph
F(x+h)-f(x)/h h cannot equal zero

19. What is the domain for an absolute value function?
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
As equations
The single number y=
(-infinity - +infinity)

20. Draw or discuss an increasing function
Cannot be drawn in quizlet
Parabola - up one and right three
Inconsitent
A line passing through two distinct points

21. What is the standard quadratic function?
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsitent
X^2
Set the x and y to zero and get the intercepts and then plot the points

22. What is the vertical line formula?
F(x)=IxI
X=a
Inconsitent
Identity

23. What type of line is a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal
2nd catalog (zero key -) abs(x) - graph
Yes because two x's or domains can point to one y

24. What is the formula for slope?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even
Square Root
Change in y / change in x = rise / run = y2-y1 / x2-x1

25. Draw or discuss a decreasing function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
Cannot be drawn in quizlet
As many as you like

26. What type of slope do you have when the line is horizontal and m=0?
X=a
Horizontal left
Y= then enter the number then press graph
Zero slope

27. What is the domain for the standard cubic function?
1 -2 -3
X = the original sale price and the formula is x - .40x =$276
F(x)=3 square root x
(-infinity - +infinity)

28. What is the formula for the cube root function?
Inconsitent
Even
X math 3 graph
F(x)=3 square root x

29. When is the only time (-infinity - +infinity) is not the domain?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal left
Horizontal right
In a quotient

30. 4x+5x=8x is what type of an equation?
Undefined
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parabola - up one and right three
Conditional

31. What can we substitute for f(x)?
Absolute Value - Constant and Standard Quadratic
Identity
Y
Undefined slope

32. $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?
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
Y=x - identity function
Y

33. Is the square root function odd - even or neither?
Neither
F(x) = x
A V
(-infinity - 0]you[0 - +infinity)

34. Of the seven of algebra's common graph's how many are even?
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
Inconsistant
X is the hours to repair the boat. $1603-532=anwser/63 = x

35. What is the range of the cube root function?
F(x+c) and f(x-c)
C>1 - horizontal shrinking
Down
(-infinity - +infinity)

36. 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
Perpendicular line
Conditional
Zero slope

37. Which direction does f(x-c) move
2nd catalog (zero key -) abs(x) - graph
Horizontal right
Cannot be drawn in quizlet
M

38. 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?
(f+g) - (f-g) - (fg) - (f/g) all of x
The minimum or maximum points
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

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

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40. What does the standard cubic function look like on a graph?
As many as you like
Mirror image neg quadrant to that of the positive quandrant
F(x)=suare root of x
Only one

41. What are the four steps for solving a linear equation?
Same
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.
(-infinity - +infinity)

42. Two vertical lines side by side are a symbol for what
Cannot be drawn in quizlet
Parraelle line
A line passing through two distinct points
Math 4 x - graph

43. What does the standard cubic function look like on a graph?
Function notation
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Zero slope

44. What can never equal zero in the slope formula and why?
Horizontal
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
X=a

45. What type of slope do horizontal lines have?
Same
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
X^2
When does a graph not define y as a function of x?

46. How do you calculate a constant function in your calculator?
As many as you like
0<c<1 - horizontal stretching
Y= then enter the number then press graph
(-infinity - 0]you[0 - +infinity)

47. What is a range?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
X = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair

48. What is the formula for the square root function?
Y=10
F(x)=suare root of x
Parabola - up one and right three
The slope of a line containing two points

49. What is a domain?
Line ascending to the right gradually
F(x)=IxI
The first set of components of an ordered pair
Horizontal right

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Because the demintor of a quotient can never equal zero
1 -2 -3
Horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040