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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 a domain?
Math 4 x - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)

2. What type of line is a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
Because the demintor of a quotient can never equal zero
Horizontal

3. How would this formula move f(x)=(x+1)^2-3
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.
Square Root
Parabola - up one and right three
0<c<1 - horizontal stretching

4. How many domains can you have pointing to one range?
As many as you like
(-infinity - +infinity)
Up
(-infinity - +infinity)

5. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
X^2
Absolute Value - Constant and Standard Quadratic

6. 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
Approach neg toward x through zero and above positive close to x
Absolute Value - Constant and Standard Quadratic
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

7. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Piecewise
F(x^1)=f(x^2)
F(x2)-f(x1) / x2-x1

8. standard absolute value - vertical shift formulas for positve and negative
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
F(x)=+c and f(x)-c
Even

9. What does linear equation mean?
Identity
Postiive slope
Equation of a line
X = the original sale price and the formula is x - .40x =$276

10. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
Even
Horizontal
4 -6 -9

11. What is the range of an identity function?
Square Root
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Square Root

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

13. What is the formula for the standard cubic function?
Up
F(x)=x^3
Even
2nd catalog (zero key -) abs(x) - graph

14. How do you calculate a constant function in your calculator?
(-infinity - 0]you[0 - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
Y=10

15. How do you calculate a constant function in your calculator?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
Odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

16. What is the range of the cube root function?
Y=10
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Conditional

17. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Equation of a line
Even
Postiive slope

18. What are two examples of composit functions?
Conditional
F of g and g of f
The secant line
F(x)=IxI

19. What does the standard cubic function look like on a graph?
2nd key - x^2 - graph
Horizontal right
Mirror image neg quadrant to that of the positive quandrant
Up

20. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Equation of a line
F(x^1)=f(x^2)
Piecewise
The secant line

21. What type of slope do you have when a line falls left to right and m<0?
Neither
Negative slope
Equation of a line
Only one

22. Is a standard quadratic function even - odd or neither?
M
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
Even
F(x)=x^3

23. What is the formula in both horizontal stretching and horizontal shrinking?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
When does a graph not define y as a function of x?
The single number y=

24. y=f(cx) What does this formula represent?
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
(f+g) - (f-g) - (fg) - (f/g) all of x
A V

25. 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
The opposite coordinates
4 -6 -9
Odd

26. Of the seven of algebra's common graph's how many are neither?
Square Root
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
Horizontal
In a quotient

27. 4(x-7)=4x+28 is what type of an equation?
45 degree angle
(-infinity - +infinity)
The secant line
Inconsitent

28. Is the standard cubic function odd - even or neither?
Odd
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
45 degree angle
Even

29. What is the range of an identity function?
(-infinity - +infinity)
The secant line
4 -6 -9
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. What does the square root function look like on a graph?
Down
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet

31. What is the letter used to represent slope?
Y=x - identity function
In a quotient
M
Y= then enter the number then press graph

32. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=10
F(x^1)=f(x^2)
F(x2)-f(x1) / x2-x1

33. What is the point slope formula and when do you use it?
Conditional
Y=IxI
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

34. Is the square root function odd - even or neither?
Yes because two x's or domains can point to one y
Inconsistant
Neither
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

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Inconsistant
C>1 - horizontal shrinking
Horizontal left

36. In an identity function if f(10)=x than What is y?
Neither
20+.05x=5+.10x x=minutes
Horizontal
Y=10

37. What is the standard quadratic function?
X^2
F of g and g of f
Yes - all the domains points to one range
Inconsistant

38. What does the absolute value function look like?
Down
(-infinity - +infinity)
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1

39. 4x+5x=8x is what type of an equation?
M
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
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.

40. 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
(-infinity - +infinity)
Horizontal
Y=IxI

41. What are the calculator instructions for the standard cubic function?
C>1 - horizontal shrinking
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
Absolute Value - Constant and Standard Quadratic

42. Which direction does f(x-c) move
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Horizontal right

43. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal left
Cannot be drawn in quizlet

44. What direction does f(x)-c move in standard absolute value formula?
Down
Parabola - up one and right three
As many as you like
Cannot be drawn in quizlet

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

46. What is the formula for slope?
When does a graph not define y as a function of x?
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle
Cannot be drawn in quizlet

47. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
F(x)=3 square root x

48. What type of slope do you have when m=? and the line is vertical?
X = the original sale price and the formula is x - .40x =$276
Undefined slope
[0 -+infinity)
(-infinity - +infinity)

49. What can we substitute for f(x)?
Y
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x - identity function

50. What is another way to write f(x)=x - what type of function is this?
Parabola
The single number y=
Y=x - identity function
[0 -+infinity)