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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. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Y=b
Y=IxI
X = the original sale price and the formula is x - .40x =$276
Up

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

3. What are the steps for solving a word problem?
Function notation
F(x^1)=f(x^2)
Identity
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

4. When is the only time (-infinity - +infinity) is not the domain?
Parabola - up one and right three
In a quotient
2nd catalog (zero key -) abs(x) - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

5. A flat line underlining one vertical line is a symbol for...
Neither
When does a graph not define y as a function of x?
Perpendicular line
20+.05x=5+.10x x=minutes

6. What type of slope do you have when a line falls left to right and m<0?
Negative slope
X=a
Undefined
F(x)=3 square root x

7. What type of slope do you have when the line is horizontal and m=0?
X2-x1 because the demonaitor of a quotient can never equal zero
Zero slope
F(x^1)=f(x^2)
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

8. 4(x-7)=4x+28 is what type of an equation?
A line passing through two distinct points
Y
Inconsitent
Perpendicular line

9. How many ranges can you have for each domain?
Perpendicular line
(-infinity - +infinity)
Only one
Undefined slope

10. What are the four steps for finding the inverse of a function?
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd
F of g and g of f

11. What does linear equation mean?
Piecewise
F(x2)-f(x1) / x2-x1
Equation of a line
X is the hours to repair the boat. $1603-532=anwser/63 = x

12. What are the calculator instructions for the cube root function?
Even
Math 4 x - graph
Even
Line ascending to the right gradually

13. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Parabola
Negative inverse
Postiive slope
4 -6 -9

14. What is the vertical line formula?
No because you cannot have one domain pointing at two y's or ranges
F(x)=suare root of x
2nd catalog (zero key -) abs(x) - graph
X=a

15. What is a domain?
Negative inverse
Y=10
Y=10
The first set of components of an ordered pair

16. Is the square root function odd - even or neither?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x) = x

17. What is the range for a standard quadratic function?
Even
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Horizontal

18. How many domains can you have pointing to one range?
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As many as you like
Y=x^2 - graph

19. Why can h not equal zero in the difference of a quotient function formula?
F of g and g of f
Square Root
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph

20. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined slope
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points

21. What is the formula for an absolute value function?
Three odd - cube root - identity - standard cubic
F(x)=IxI
Up
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

22. What is a constant function?
Horizontal
4 -6 -9
F(x+c) and f(x-c)
F(x^1)=f(x^2)

23. What is the domain of an identity function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Equation of a line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

24. x= a real number is what type of equation?
Negative inverse
Conditional
Even
The slope of a line containing two points

25. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Negative inverse
Equation of a line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

26. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
F(x)=3 square root x
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually

27. How do you calculate a constant function in your calculator?
Y=b
F(x+h)-f(x)/h h cannot equal zero
F(x2)-f(x1) / x2-x1
Y= then enter the number then press graph

28. What is the range for a standard quadratic function?
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
X math 3 graph
(-infinity - +infinity)

29. What does the absolute value function look like?
A V
Even
No because you cannot have one domain pointing at two y's or ranges
Horizontal

30. What is the range of an identity function?
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsitent
(-infinity - +infinity)
Yes - all the domains points to one range

31. x=all real numbers is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
Neither
Absolute Value - Constant and Standard Quadratic
Identity

32. What is the domain and range of a constant function?
(-infinity - +infinity)
Parraelle line
F(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

33. What does the average rate of change formula solve?
The slope of a line containing two points
Parabola
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)

34. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
Piecewise
Negative slope

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Parabola - up one and right three
1 -2 -3
As equations
Odd

36. How are functions normally written?
20+.05x=5+.10x x=minutes
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
2nd key - x^2 - graph
As equations

37. What type of slope do you have when a line rises from left to right and m>0?
Horizontal
[0 -+infinity)
Postiive slope
The slope of a line containing two points

38. What does the standard cubic function look like on a graph?
Set the x and y to zero and get the intercepts and then plot the points
F(x2)-f(x1) / x2-x1
Mirror image neg quadrant to that of the positive quandrant
As equations

39. x=no real numbers is what type of an equation?
Horizontal right
M
Down
Inconsistant

40. What does the average rate of change formula solve?
X=a
The slope of a line containing two points
Y
Postiive slope

41. What is the domain of a square root function?
The single number y=
In a quotient
[0 -+infinity)
Even

42. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Horizontal right
Identity
Zero slope

43. x= a real number is what type of equation?
(-infinity - +infinity)
Any set of ordered pairs
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x

44. How many domains can you have pointing to one range?
As many as you like
Square Root
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

45. What is the vertex?
Yes because two x's or domains can point to one y
The minimum or maximum points
Approach neg toward x through zero and above positive close to x
Any set of ordered pairs

46. What type of slope do you have when m=? and the line is vertical?
2nd catalog (zero key -) abs(x) - graph
Undefined slope
(-infinity - +infinity)
Conditional

47. Is a standard quadratic function even - odd or neither?
F(x)=suare root of x
The first set of components of an ordered pair
Even
Cannot be drawn in quizlet

48. What is the point slope formula and when do you use it?
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.
Y=x^2 - graph
F(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

49. Draw or discuss a constant function
Piecewise
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x^1)=f(x^2)
Cannot be drawn in quizlet

50. $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
Odd
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The minimum or maximum points