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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 function would you use to calculate the most advantageous cell phone plan?
45 degree angle
Piecewise
The opposite coordinates
0<c<1 - horizontal stretching

2. What can never equal zero in the slope formula and why?
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
0<c<1 - horizontal stretching

3. x= a real number is what type of equation?
Conditional
The slope of a line containing two points
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic

4. What type of line is a constant function?
Horizontal
Conditional
F(x^1)=f(x^2)
(-infinity - 0]you[0 - +infinity)

5. Of the seven of algebra's common graph's how many are odd?
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
The first set of components of an ordered pair

6. What equation does every line have? Discuss the variables.
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.
Even
The opposite coordinates
Postiive slope

7. 4(x-7)=4x-28 is what type of an equation?
Identity
The second set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Inconsitent

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
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

9. What does the standard cubic function look like on a graph?
Even
M
Mirror image neg quadrant to that of the positive quandrant
F(x)=3 square root x

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

11. What is a range?
(-infinity - +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.
The second set of components of an ordered pair
Parabola - up one and right three

12. What is an identity function?
45 degree angle
Parabola
As many as you like
Math 4 x - graph

13. What are the calculator instructions for the cube root function?
Math 4 x - graph
(-infinity - +infinity)
The second set of components of an ordered pair
Even

14. What is the formula for an absolute value function?
F(x)=IxI
(-infinity - 0]you[0 - +infinity)
The single number y=
Y

15. Why can h not equal zero in the difference of a quotient function formula?
Y=10
Because the demintor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
[0 -+infinity)

16. What is the formula for an identity function?
Y= then enter the number then press graph
0<c<1 - horizontal stretching
Parraelle line
F(x) = x

17. What type of slope do you have when the line is horizontal and m=0?
Zero slope
X2-x1 because the demonaitor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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

18. Is an identity function even - odd or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Odd
(-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

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Parraelle line
(-infinity - 0]you[0 - +infinity)
Undefined slope
Yes - all the domains points to one range

20. What are the steps for solving a word problem?
X^2
(-infinity - +infinity)
In a quotient
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

21. Draw or discuss a constant function
Negative inverse
Y=IxI
The minimum or maximum points
Cannot be drawn in quizlet

22. Draw or discuss a decreasing function
In a quotient
Perpendicular line
Cannot be drawn in quizlet
Horizontal right

23. What is the formula for the cube root function?
Undefined slope
Square Root
F(x)=3 square root x
Same

24. Is a constant function even - odd or neither?
Y=x^2 - graph
X=a
F(x^1)=f(x^2)
Even

25. What type of slope do you have when a line falls left to right and m<0?
Negative slope
X^2
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function

26. What is the range for an absolute value function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Even
(-infinity - 0]you[0 - +infinity)

27. What type of line is an identity function?
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional
45 degree angle

28. What is the average rate of change formula?
F(x) = x
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1

29. What is the formula for the square root function?
F(x)=suare root of x
The slope of a line containing two points
F(x)=3 square root x
Cannot be drawn in quizlet

30. Which direction does f(x-c) move
Conditional
(-infinity - +infinity)
Horizontal right
Only one

31. How many ranges can you have for each domain?
F(x^1)=f(x^2)
Only one
Same
45 degree angle

32. What is the letter used to represent slope?
M
A V
F(x)=x^3
Inconsitent

33. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
(-infinity - +infinity)
Same
Approach neg toward x through zero and above positive close to x

34. What type of slope do you have when m=? and the line is vertical?
Conditional
Cannot be drawn in quizlet
Undefined slope
Even

35. What does linear equation mean?
Up
Equation of a line
2nd key - x^2 - graph
45 degree angle

36. 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
Horizontal right
Yes - all the domains points to one range
X=a

37. y=f(cx) What does this formula represent?
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
Line ascending to the right gradually
Only one
0<c<1 - horizontal stretching

38. What is the horizontal line formula?
Because the demintor of a quotient can never equal zero
Even
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=b

39. What are the calculator instructions for the cube root function?
Math 4 x - graph
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x

40. $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?
(-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
Mirror image neg quadrant to that of the positive quandrant
F(x)=x^3

41. What is the domain for an absolute value function?
F(x)=x^3
(-infinity - +infinity)
Function notation
F(x)=+c and f(x)-c

42. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
As many as you like
1 -2 -3
2nd catalog (zero key -) abs(x) - graph
2nd key - x^2 - graph

43. 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
C>1 - horizontal shrinking
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet

44. x= a real number is what type of equation?
F(x)=IxI
Horizontal left
Conditional
Yes - all the domains points to one range

45. What is a domain?
Odd
The first set of components of an ordered pair
F(x)=+c and f(x)-c
X=a

46. Which direction does f(x-c) move
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.
Y=b
Horizontal right
(-infinity - 0]you[0 - +infinity)

47. What is the letter used to represent slope?
The opposite coordinates
Yes - all the domains points to one range
M
A V

48. Is a constant function even - odd or neither?
F of g and g of f
F(x^1)=f(x^2)
Even
F(x2)-f(x1) / x2-x1

49. How many domains can you have pointing to one range?
Yes - all the domains points to one range
As many as you like
The second set of components of an ordered pair
Y=10

50. What is the domain for a standard quadratic function?
[0 -+infinity)
(-infinity - +infinity)
Undefined
F(x)=3 square root x