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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 vertical line test?
Line ascending to the right gradually
Inconsitent
When does a graph not define y as a function of x?
Odd

2. What is an identity function?
Same
45 degree angle
Y=x - identity function
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

3. Draw or discuss an increasing function
(-infinity - +infinity)
F(x)=3 square root x
Cannot be drawn in quizlet
Inconsistant

4. What type of slope do you have when m=? and the line is vertical?
(-infinity - 0]you[0 - +infinity)
Zero slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined slope

5. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Parabola - up one and right three
M
Perpendicular line

6. What type of slope do horizontal lines have?
Any set of ordered pairs
Line ascending to the right gradually
Only one
Same

7. What type of line is a constant function?
(-infinity - +infinity)
Y=x^2 - graph
Horizontal
Neither

8. What are the four steps for solving a linear equation?
Odd
F(x+h)-f(x)/h h cannot equal zero
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.
45 degree angle

9. What is the formula for an absolute value function?
No because you cannot have one domain pointing at two y's or ranges
F(x)=IxI
X = the original sale price and the formula is x - .40x =$276
Parraelle line

10. What is the formula for the square root function?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=suare root of x
Cannot be drawn in quizlet
Math 4 x - graph

11. What are the calculator instructions for the standard cubic function?
X math 3 graph
Math 4 x - graph
Absolute Value - Constant and Standard Quadratic
Y=IxI

12. What is a domain?
Inconsistant
Up
The first set of components of an ordered pair
4 -6 -9

13. What is the formula for the standard cubic function?
Inconsistant
F(x)=x^3
Neither
Parabola

14. Is a constant function even - odd or neither?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
[0 -+infinity)
Even

15. What does linear equation mean?
Equation of a line
F(x)=x^3
Even
Even

16. What type of slope do you have when m=? and the line is vertical?
Parraelle line
Odd
Undefined slope
F(x)=3 square root x

17. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x
Negative inverse
Parabola

18. Camera sales price $276 and that is 40% off - What is the original sale price? What does 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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X = the original sale price and the formula is x - .40x =$276

19. Is the square root function odd - even or neither?
[0 -+infinity)
Neither
Y=10
2nd catalog (zero key -) abs(x) - graph

20. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
45 degree angle
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
Line ascending to the right gradually
Cannot be drawn in quizlet

21. What is the domain and range of a constant function?
(-infinity - +infinity)
X math 3 graph
Parraelle line
The opposite coordinates

22. What does the standard cubic function look like on a graph?
Yes because two x's or domains can point to one y
Mirror image neg quadrant to that of the positive quandrant
The second set of components of an ordered pair
Y=x^2 - graph

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

24. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Horizontal
F(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

25. What is the domain for the standard cubic function?
Neither
(-infinity - +infinity)
When does a graph not define y as a function of x?
Inconsitent

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

27. How many ranges can you have for each domain?
Only one
X = the original sale price and the formula is x - .40x =$276
Parabola
Line ascending to the right gradually

28. What is the horizontal line formula?
F(x)=3 square root x
Y=b
F(x)=+c and f(x)-c
(-infinity - +infinity)

29. What is the range for the standard cubic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

30. What direction does f(x)-c move in standard absolute value formula?
0<c<1 - horizontal stretching
(-infinity - +infinity)
Undefined slope
Down

31. Two vertical lines side by side are a symbol for what
The opposite coordinates
F(x)=IxI
Parraelle line
(-infinity - +infinity)

32. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Any set of ordered pairs
When does a graph not define y as a function of x?
Yes - all the domains points to one range
F(x)=IxI

33. What points do you use to plot the inverse on a graph?
Y=x - identity function
Yes because two x's or domains can point to one y
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

34. What is the vertex?
The minimum or maximum points
Identity
Y=x^2 - graph
When does a graph not define y as a function of x?

35. What type of slope do horizontal lines have?
Equation of a line
(-infinity - 0]you[0 - +infinity)
Same
When does a graph not define y as a function of x?

36. What type of slope do you have when a line falls left to right and m<0?
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
Identity
As many as you like
Negative slope

37. What are the calculator instructions for a standard quadratic equation?
Conditional
Y=x^2 - graph
Conditional
Cannot be drawn in quizlet

38. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Y=x - identity function
Perpendicular line
When does a graph not define y as a function of x?

39. x=all real numbers is what type of an equation?
Identity
(-infinity - 0]you[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like

40. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes
Only one
Perpendicular line

41. What is the vertical line test?
When does a graph not define y as a function of x?
The single number y=
Mirror image neg quadrant to that of the positive quandrant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Mirror image neg quadrant to that of the positive quandrant
Line ascending to the right gradually
The secant line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

43. Of the seven of algebra's common graph's how many are odd?
No because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Three odd - cube root - identity - standard cubic

44. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
Line ascending to the right gradually

45. What direction does f(x)-c move in standard absolute value formula?
X^2
Y=b
The single number y=
Down

46. What is a relation?
Odd
Any set of ordered pairs
Neither
The opposite coordinates

47. What is the vertex?
Horizontal
Square Root
The minimum or maximum points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

48. What is a constant function?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
(-infinity - +infinity)
Up

49. What is the point slope formula and when do you use it?
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
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(f+g) - (f-g) - (fg) - (f/g) all of x

50. Is the square root function odd - even or neither?
Any set of ordered pairs
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
Neither
The secant line