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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 vertex?
The minimum or maximum points
Any set of ordered pairs
(-infinity - +infinity)
A V

2. What is a domain?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
The minimum or maximum points
The first set of components of an ordered pair

3. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Square Root
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

4. What does the average rate of change formula solve?
The slope of a line containing two points
Horizontal left
Any set of ordered pairs
(-infinity - +infinity)

5. What is slope?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
Negative slope
A line passing through two distinct points

6. What is the formula for an absolute value function?
Up
F(x)=IxI
Inconsistant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

7. What is a constant function?
F(x^1)=f(x^2)
Math 4 x - graph
Line ascending to the right gradually
As many as you like

8. What is the domain for an absolute value function?
(-infinity - +infinity)
Negative slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative inverse

9. x= a real number is what type of equation?
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.
Inconsitent
A line passing through two distinct points

10. What is the range of the constant function?
Any set of ordered pairs
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=

11. What is a range?
2nd catalog (zero key -) abs(x) - graph
The second set of components of an ordered pair
The slope of a line containing two points
(-infinity - +infinity)

12. What are the calculator instructions for absolute value?
Neither
Undefined slope
Identity
2nd catalog (zero key -) abs(x) - graph

13. What points do you use to plot the inverse on a graph?
The opposite coordinates
C>1 - horizontal shrinking
Undefined slope
Neither

14. 4x+5x=8x is what type of an equation?
Conditional
F(x^1)=f(x^2)
Y=b
X = the original sale price and the formula is x - .40x =$276

15. y=f(cx) - What does this formula represent?
Up
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs
C>1 - horizontal shrinking

16. What type of slope do horizontal lines have?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Square Root
Same
Identity

17. What are two examples of composit functions?
Same
No because you cannot have one domain pointing at two y's or ranges
Even
F of g and g of f

18. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X = the original sale price and the formula is x - .40x =$276

19. 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
Y=b
Even
(-infinity - 0]you[0 - +infinity)

20. What are the calculator instructions for the cube root function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Math 4 x - graph
(-infinity - +infinity)
Zero slope

21. What is the point slope formula and when do you use it?
(-infinity - +infinity)
C>1 - horizontal shrinking
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

22. standard absolute value - vertical shift formulas for positve and negative
Undefined
F(x)=+c and f(x)-c
F(x)=3 square root x
4 -6 -9

23. What type of line is a constant function?
Horizontal
Negative slope
Y=b
Undefined slope

24. Is an identity function even - odd or neither?
Negative slope
Y
(-infinity - +infinity)
Odd

25. What type of line is a constant function?
Parabola
Undefined slope
Horizontal
4 -6 -9

26. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
F(x)=3 square root x
Even
Undefined slope

27. What does the square root function look like on a graph?
F(x+h)-f(x)/h h cannot equal zero
Inconsistant
The secant line
Line ascending to the right gradually

28. What is the vertical line formula?
X=a
Identity
F of g and g of f
As equations

29. How many domains can you have pointing to one range?
(-infinity - +infinity)
The first set of components of an ordered pair
X^2
As many as you like

30. What is another way of writing the absolute value function?
Y=b
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
Y=IxI

31. How do you calculate a constant function in your calculator?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
F(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1

32. What shape is the standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]you[0 - +infinity)
As many as you like
Parabola

33. What type of slope do vertical lines have?
Approach neg toward x through zero and above positive close to x
Inconsitent
Conditional
Undefined

34. What is slope?
A line passing through two distinct points
45 degree angle
Yes - all the domains points to one range
M

35. What is the range for the standard cubic function?
Neither
F(x)=+c and f(x)-c
M
(-infinity - +infinity)

36. What type of slope do you have when a line rises from left to right and m>0?
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
M
Postiive slope
Conditional

37. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Set the x and y to zero and get the intercepts and then plot the points
Even
F(x)=+c and f(x)-c

38. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Identity
Horizontal right
F(x+h)-f(x)/h h cannot equal zero

39. What is the formula in both horizontal stretching and horizontal shrinking?
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
(-infinity - +infinity)

40. What is another way to write f(x)=x - what type of function is this?
Identity
F(x)=IxI
Y=x - identity function
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.

41. What does the average rate of change formula solve?
X^2
Y
Three odd - cube root - identity - standard cubic
The slope of a line containing two points

42. What is the formula for to calculate the difference of a quotient function?
The secant line
Perpendicular line
F(x+h)-f(x)/h h cannot 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

43. Is the square root function odd - even or neither?
Y= then enter the number then press graph
F(x) = x
Neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

44. x=all real numbers is what type of an equation?
Y=b
(-infinity - +infinity)
F(x)=x^3
Identity

45. 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?
The second set of components of an ordered pair
0<c<1 - horizontal stretching
X is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching

46. y=f(cx) - What does this formula represent?
Y
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
F(x+c) and f(x-c)

47. What direction does f(x)-c move in standard absolute value formula?
X=a
Parraelle line
Down
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.

48. What is the formula for to calculate the difference of a quotient function?
Set the x and y to zero and get the intercepts and then plot the points
F(x+h)-f(x)/h h cannot equal zero
Same
Y

49. What does the absolute value function look like?
Identity
Y
A V
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

50. What is the range of a square root function?
Square Root
[0 -+infinity)
Even
Math 4 x - graph