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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 type of line is an identity function?
Parabola - up one and right three
45 degree angle
F(x2)-f(x1) / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x

2. What is the formula for to calculate the difference of a quotient function?
Parraelle line
Postiive slope
F(x+h)-f(x)/h h cannot equal zero
Undefined

3. Is an absolute value function even - odd or neither?
As many as you like
Conditional
Even
Yes - all the domains points to one range

4. 4(x-7)=4x+28 is what type of an equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
F(x)=+c and f(x)-c
Inconsitent

5. Is an identity function even - odd or neither?
Odd
Math 4 x - graph
Parabola - up one and right three
(-infinity - +infinity)

6. $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?
Because the demintor of a quotient can never equal zero
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
2nd key - x^2 - graph
Absolute Value - Constant and Standard Quadratic

7. What type of slope do vertical lines have?
Perpendicular line
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 notation
Undefined

8. What type of slope do you have when m=? and the line is vertical?
Line ascending to the right gradually
Up
Undefined slope
Yes because two x's or domains can point to one y

9. 4(x-7)=4x-28 is what type of an 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.
A line passing through two distinct points
Identity
F(x^1)=f(x^2)

10. What are the calculator instructions for absolute value?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Because the demintor of a quotient can never equal zero
When does a graph not define y as a function of x?
2nd catalog (zero key -) abs(x) - graph

11. What is the vertical line test?
Identity
X2-x1 because the demonaitor of a quotient can never equal zero
When does a graph not define y as a function of x?
F(x)=IxI

12. What points do you use to plot the inverse on a graph?
The opposite coordinates
Function notation
Conditional
C>1 - horizontal shrinking

13. What is the formula in both horizontal stretching and horizontal shrinking?
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
No because you cannot have one domain pointing at two y's or ranges
[0 -+infinity)

14. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Negative inverse
F(x)=x^3
4 -6 -9
Even

15. What type of function would you use to calculate the most advantageous cell phone plan?
2nd catalog (zero key -) abs(x) - graph
Piecewise
Zero slope
A V

16. y=f(cx) What does this formula represent?
45 degree angle
Odd
0<c<1 - horizontal stretching
Identity

17. 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
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
1 -2 -3

18. What can we substitute for f(x)?
Conditional
Y
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

19. What is the range for an absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

20. What is the horizontal line formula?
Y=b
Even
X = the original sale price and the formula is x - .40x =$276
Down

21. What is the range of a square root function?
[0 -+infinity)
F(x2)-f(x1) / x2-x1
Mirror image neg quadrant to that of the positive quandrant
M

22. What is a range?
Horizontal
Y=x - identity function
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x

23. What are the calculator instructions for the standard cubic function?
The single number y=
X math 3 graph
Because the demintor of a quotient can never equal zero
Y

24. Of the seven of algebra's common graph's how many are even?
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
Absolute Value - Constant and Standard Quadratic
Negative inverse
Parabola - up one and right three

25. What is a constant function?
Three odd - cube root - identity - standard cubic
Y=10
0<c<1 - horizontal stretching
F(x^1)=f(x^2)

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Zero slope
(-infinity - +infinity)
Down

27. What type of slope do you have when m=? and the line is vertical?
The first set of components of an ordered pair
Undefined slope
Odd
F(x)=3 square root x

28. What does linear equation mean?
Equation of a line
Horizontal
Undefined slope
X=a

29. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Horizontal
Postiive slope
No because you cannot have one domain pointing at two y's or ranges

30. A flat line underlining one vertical line is a symbol for...
The slope of a line containing two points
[0 -+infinity)
X math 3 graph
Perpendicular line

31. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=x^2 - graph
1 -2 -3
Y=b
Odd

32. What does the square root function look like on a graph?
Line ascending to the right gradually
(-infinity - +infinity)
The single number y=
Because the demintor of a quotient can never equal zero

33. What is a function?
X^2
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
20+.05x=5+.10x x=minutes
(f+g) - (f-g) - (fg) - (f/g) all of x

34. 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 math 3 graph
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. What is the formula for the standard cubic function?
Y=IxI
F(x)=x^3
Conditional
X=a

36. standard absolute value - horizontal shift formulas for left and right
In a quotient
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x+c) and f(x-c)

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

38. Of the seven of algebra's common graph's how many are neither?
2nd catalog (zero key -) abs(x) - graph
The secant line
Conditional
Square Root

39. What is the slope intercept formula? Define all the variables.
Horizontal right
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X math 3 graph

40. What is the point slope formula and when do you use it?
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant
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

41. Is a constant function even - odd or neither?
Math 4 x - graph
Yes - all the domains points to one range
Even
Function notation

42. What is the standard quadratic function?
X^2
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Inconsistant

43. What is the domain and range of a constant function?
(-infinity - +infinity)
Even
Approach neg toward x through zero and above positive close to x
Horizontal

44. How would this formula move f(x)=(x+1)^2-3
Cannot be drawn in quizlet
Conditional
(-infinity - +infinity)
Parabola - up one and right three

45. What is another way of writing the absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Equation of a line
Y=IxI
The first set of components of an ordered pair

46. Which direction does f(x)=+c move in standard absolute value formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As equations

47. What type of slope do horizontal lines have?
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Same
Change in y / change in x = rise / run = y2-y1 / x2-x1

48. When is the only time (-infinity - +infinity) is not the domain?
Y=b
Equation of a line
(-infinity - +infinity)
In a quotient

49. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Undefined
Parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

50. What is the formula 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
X math 3 graph
F(x)=IxI
F(x)=suare root of x

Can you answer 50 questions in 15 minutes?

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College Algebra Test

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