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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 domain for an absolute value function?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Yes - all the domains points to one range
F(x+c) and f(x-c)

2. Is a standard quadratic function even - odd or neither?
Parabola - up one and right three
As equations
Even
Y

3. Draw or discuss a decreasing function
[0 -+infinity)
Even
Cannot be drawn in quizlet
Y=10

4. $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?
Yes because two x's or domains can point to one y
Zero 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

5. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Three odd - cube root - identity - standard cubic
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

6. 4(x-7)=4x-28 is what type of an equation?
Identity
X^2
Piecewise
Conditional

7. 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
In a quotient
Identity
Y=b

8. How many ranges can you have for each domain?
Only one
Function notation
Change in y / change in x = rise / run = y2-y1 / x2-x1
Perpendicular line

9. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
The slope of a line containing two points
Y
F(x+c) and f(x-c)
20+.05x=5+.10x x=minutes

10. What is the domain of the cube root function?
(-infinity - +infinity)
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=b

11. 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(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x
As many as you like
Parraelle line

12. What is the domain for the standard cubic function?
[0 -+infinity)
Horizontal right
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

13. What are the calculator instructions for a standard quadratic equation?
Y=10
In a quotient
No because you cannot have one domain pointing at two y's or ranges
Y=x^2 - graph

14. What type of slope do you have when m=? and the line is vertical?
Undefined slope
A V
Y
(-infinity - +infinity)

15. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range
F(x)=3 square root x
Parabola

16. What are the steps for solving a word problem?
Conditional
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 -6 -9
Odd

17. Is the standard cubic function odd - even or neither?
Undefined slope
(-infinity - +infinity)
Line ascending to the right gradually
Odd

18. y=f(cx) - What does this formula represent?
The second set of components of an ordered pair
C>1 - horizontal shrinking
The single number y=
Conditional

19. What does the average rate of change formula solve?
The slope of a line containing two points
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
F(x+c) and f(x-c)

20. How are functions normally written?
Y=x^2 - graph
Identity
45 degree angle
As equations

21. What is the range for the standard cubic function?
F(x+c) and f(x-c)
(-infinity - +infinity)
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 math 3 graph

22. Two vertical lines side by side are a symbol for what
Parraelle line
2nd catalog (zero key -) abs(x) - graph
Yes because two x's or domains can point to one y
The first set of components of an ordered pair

23. standard absolute value - vertical shift formulas for positve and negative
Approach neg toward x through zero and above positive close to x
F(x)=+c and f(x)-c
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

24. What type of line is a constant function?
F(x)=x^3
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero

25. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Undefined slope
Square Root
2nd key - x^2 - graph

26. What is the vertical line formula?
Horizontal left
X=a
X^2
No because you cannot have one domain pointing at two y's or ranges

27. What shape is the standard quadratic function?
The single number y=
The single number y=
Parabola
A line passing through two distinct points

28. What is the slope of a perpendicular line?
(-infinity - +infinity)
Negative inverse
F(x2)-f(x1) / x2-x1
As equations

29. A flat line underlining one vertical line is a symbol for...
Equation of a line
The second set of components of an ordered pair
Perpendicular line
(-infinity - 0]you[0 - +infinity)

30. What is the formula for slope?
As equations
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Square Root

31. What is the formula for an absolute value function?
Horizontal
Three odd - cube root - identity - standard cubic
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=IxI

32. What is the slope of a perpendicular line?
Neither
The opposite coordinates
Odd
Negative inverse

33. What is the formula in both horizontal stretching and horizontal shrinking?
F(x)=3 square root x
1 -2 -3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph

34. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
The single number y=

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

36. Which direction does f(x-c) move
Square Root
Horizontal right
Parraelle line
Mirror image neg quadrant to that of the positive quandrant

37. What are the algebra of functions?
F(x)=+c and f(x)-c
Neither
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

38. 4(x-7)=4x+28 is what type of an equation?
Parabola - up one and right three
Approach neg toward x through zero and above positive close to x
Inconsitent
F(x)=suare root of x

39. 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
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
Piecewise

40. 4x+5x=8x is what type of an equation?
Horizontal right
Conditional
Parabola - up one and right three
1 -2 -3

41. What equation does every line have? Discuss the variables.
Square Root
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.
Parabola
Any set of ordered pairs

42. What is the range of a square root function?
Yes because two x's or domains can point to one y
F(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)

43. What is a domain?
Inconsitent
The first set of components of an ordered pair
Parraelle line
Horizontal left

44. What is the range for an absolute value function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)
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
F(x^1)=f(x^2)

45. What is the range of the cube root function?
(-infinity - +infinity)
2nd key - x^2 - graph
Piecewise
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

46. What is the point slope formula and when do you use it?
Identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

47. What does the standard cubic function look like on a graph?
In a quotient
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.
Mirror image neg quadrant to that of the positive quandrant
As equations

48. Draw or discuss a constant function
F(x)=x^3
Zero slope
Cannot be drawn in quizlet
(-infinity - +infinity)

49. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
Odd
X math 3 graph
(-infinity - 0]you[0 - +infinity)

50. What is the vertex?
F(x+c) and f(x-c)
The minimum or maximum points
Mirror image neg quadrant to that of the positive quandrant
Inconsistant