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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 range for the standard cubic function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Perpendicular line

2. Two vertical lines side by side are a symbol for what
Parraelle line
Even
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
Horizontal

3. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Horizontal left
F(x+h)-f(x)/h h cannot equal zero
X2-x1 because the demonaitor of a quotient can never equal zero

4. What is the domain for an absolute value function?
The first set of components of an ordered pair
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even

5. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
F of g and g of f
Down
45 degree angle

6. What is the domain of an identity function?
(-infinity - 0]you[0 - +infinity)
Y
F(x)=x^3
(-infinity - +infinity)

7. What is the range for the standard cubic function?
Identity
(-infinity - +infinity)
Y=b
Three odd - cube root - identity - standard cubic

8. Draw or discuss a constant function
Odd
Mirror image neg quadrant to that of the positive quandrant
Inconsistant
Cannot be drawn in quizlet

9. What is the slope of a perpendicular line?
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.
Negative inverse
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges

10. What does the average rate of change formula solve?
[0 -+infinity)
Function notation
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points

11. Of the seven of algebra's common graph's how many are odd?
[0 -+infinity)
Math 4 x - graph
Three odd - cube root - identity - standard cubic
The second set of components of an ordered pair

12. What type of line is a constant function?
Cannot be drawn in quizlet
F(x)=IxI
Horizontal
Math 4 x - graph

13. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Perpendicular line
X = the original sale price and the formula is x - .40x =$276
Horizontal
The minimum or maximum points

14. What is the vertical line test?
X=a
A V
When does a graph not define y as a function of x?
F(x)=suare root of x

15. 4(x-7)=4x-28 is what type of an equation?
Identity
F(x)=IxI
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

16. x=all real numbers is what type of an equation?
Even
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Identity

17. What is the vertical line test?
Because the demintor of a quotient can never equal zero
A line passing through two distinct points
When does a graph not define y as a function of x?
(-infinity - +infinity)

18. Is an absolute value function even - odd or neither?
1 -2 -3
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

19. What can we substitute for f(x)?
(-infinity - +infinity)
Y
(-infinity - +infinity)
F(x+c) and f(x-c)

20. What are the calculator instructions for absolute value?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
The second set of components of an ordered pair

21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
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 type of slope do vertical lines have?
Line ascending to the right gradually
Even
Undefined
(-infinity - +infinity)

23. Two vertical lines side by side are a symbol for what
Y
Cannot be drawn in quizlet
Postiive slope
Parraelle line

24. What is a domain?
Yes - all the domains points to one range
Y=IxI
Conditional
The first set of components of an ordered pair

25. What does the average rate of change formula solve?
0<c<1 - horizontal stretching
The slope of a line containing two points
X math 3 graph
M

26. Of the seven of algebra's common graph's how many are neither?
Square Root
Horizontal left
Math 4 x - graph
The slope of a line containing two points

27. What type of slope do you have when a line rises from left to right and m>0?
Three odd - cube root - identity - standard cubic
Postiive slope
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 slope of a line containing two points

28. What does the standard cubic function look like on a graph?
Perpendicular line
Mirror image neg quadrant to that of the positive quandrant
Same
Undefined

29. How do you calculate a constant function in your calculator?
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
Y= then enter the number then press graph
Parraelle line
The opposite coordinates

30. What can never equal zero in the slope formula and why?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
X2-x1 because the demonaitor of a quotient can never equal zero
Math 4 x - graph

31. What is another way of writing the absolute value function?
The minimum or maximum points
Y=IxI
F(x)=IxI
Parabola - up one and right three

32. What is another way of writing the absolute value function?
Y=IxI
Y=10
F(x+h)-f(x)/h h cannot equal zero
Undefined

33. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - +infinity)
Undefined slope
Parraelle line

34. What is the formula for an absolute value function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Undefined slope
F(x)=IxI

35. 4(x-7)=4x-28 is what type of an equation?
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined slope
X = the original sale price and the formula is x - .40x =$276

36. What is the formula for an identity function?
F(x)=IxI
F(x) = x
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.
Even

37. What are the calculator instructions for a square root function?
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
Y=x - identity function
(-infinity - +infinity)
2nd key - x^2 - graph

38. What is the letter used to represent slope?
(-infinity - +infinity)
Horizontal
M
F(x^1)=f(x^2)

39. Draw or discuss a constant function
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
Math 4 x - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

40. What are the calculator instructions for the cube root function?
X math 3 graph
Horizontal left
F(x)=x^3
Math 4 x - graph

41. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Horizontal

42. Of the seven of algebra's common graph's how many are neither?
Square Root
F(x) = x
A line passing through two distinct points
(-infinity - +infinity)

43. What are the steps for solving a word problem?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
[0 -+infinity)

44. y=f(cx) - What does this formula represent?
Inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
Function notation

45. What is the standard quadratic function?
X^2
F of g and g of f
The minimum or maximum points
Postiive slope

46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The slope of a line containing two points
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
F(x)=+c and f(x)-c
Y

47. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
1 -2 -3
Even
20+.05x=5+.10x x=minutes
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. In an identity function if f(10)=x than What is y?
Negative slope
The minimum or maximum points
Y=10
The single number y=

49. How many domains can you have pointing to one range?
As many as you like
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Undefined

50. 4x+5x=8x is what type of an equation?
The opposite coordinates
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Conditional