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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. Of the seven of algebra's common graph's how many are odd?
Cannot be drawn in quizlet
A V
Negative slope
Three odd - cube root - identity - standard cubic

2. What is the standard quadratic function?
0<c<1 - horizontal stretching
X^2
Only one
Inconsitent

3. What is the letter used to represent slope?
Perpendicular line
M
Neither
Line ascending to the right gradually

4. What is the range for the standard cubic function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = 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

5. How many ranges can you have for each domain?
Y=IxI
(-infinity - +infinity)
Only one
As many as you like

6. standard absolute value - vertical shift formulas for positve and negative
Negative slope
Math 4 x - graph
F(x)=+c and f(x)-c
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

7. What type of slope do horizontal lines have?
Math 4 x - graph
Math 4 x - graph
(-infinity - +infinity)
Same

8. What is the formula for an identity function?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Parabola
F(x) = x

9. Is a constant function even - odd or neither?
Y
(-infinity - +infinity)
Even
Conditional

10. What equation does every line have? Discuss the variables.
Down
C>1 - horizontal shrinking
[0 -+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.

11. What is a domain?
F(x^1)=f(x^2)
The second set of components of an ordered pair
The first set of components of an ordered pair
The secant line

12. What is the domain for a standard quadratic function?
0<c<1 - horizontal stretching
X2-x1 because the demonaitor of a quotient can never equal zero
F(x+c) and f(x-c)
(-infinity - +infinity)

13. What type of line is a constant function?
The second set of components of an ordered pair
No because you cannot have one domain pointing at two y's or ranges
The opposite coordinates
Horizontal

14. What is a function?
Square Root
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Postiive slope

15. y=f(cx) - What does this formula represent?
X=a
F(x)=3 square root x
Postiive slope
C>1 - horizontal shrinking

16. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Identity
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

17. What direction does f(x)-c move in standard absolute value formula?
Y= then enter the number then press graph
Down
Only one
20+.05x=5+.10x x=minutes

18. What are the calculator instructions for a standard quadratic equation?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Y=x^2 - graph
Odd

19. What is the point slope formula and when do you use it?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
Y=x^2 - graph

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.
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
Math 4 x - graph

21. Draw or discuss a constant function
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
F(x+h)-f(x)/h h cannot equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

22. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
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.
As equations
Horizontal left

23. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
Function notation
Identity
Square Root

24. What is another way of writing the absolute value function?
Equation of a line
Y=IxI
Piecewise
Cannot be drawn in quizlet

25. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
F(x+h)-f(x)/h h cannot equal zero
Conditional
Cannot be drawn in quizlet

26. Which direction does f(x+c) move
Down
Horizontal left
Any set of ordered pairs
F(x2)-f(x1) / x2-x1

27. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Odd
F(x)=+c and f(x)-c
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

28. What is the vertex?
Negative inverse
Conditional
The first set of components of an ordered pair
The minimum or maximum points

29. Is a constant function even - odd or neither?
Conditional
Even
The second set of components of an ordered pair
(-infinity - +infinity)

30. Is the standard cubic function odd - even or neither?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x - identity function
Odd
The second set of components of an ordered pair

31. What is the range of the cube root function?
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

32. What is the domain for the standard cubic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
When does a graph not define y as a function of x?
X = the original sale price and the formula is x - .40x =$276

33. Of the seven of algebra's common graph's how many are neither?
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.
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined

34. What is the range of the constant function?
Postiive slope
The single number y=
Even
Negative inverse

35. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Conditional
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
Same
(-infinity - 0]you[0 - +infinity)

36. What is a range?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x

37. What is the range of an identity function?
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

38. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
1 -2 -3

39. Draw or discuss an increasing function
Same
Horizontal right
Any set of ordered pairs
Cannot be drawn in quizlet

40. What is a function?
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

41. What are the calculator instructions for the cube root function?
(-infinity - 0]you[0 - +infinity)
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
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero
The slope of a line containing two points

43. How do you calculate a constant function in your calculator?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y= then enter the number then press graph
F(x)=suare root of x
Piecewise

44. What type of slope do vertical lines have?
Undefined
20+.05x=5+.10x x=minutes
Square Root
45 degree angle

45. What type of line is a constant function?
Zero slope
Set the x and y to zero and get the intercepts and then plot the points
Horizontal
X^2

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Undefined slope
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
Yes - all the domains points to one range

47. What does the graph of the cube root function look like on the graph?
Undefined slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
Approach neg toward x through zero and above positive close to x

48. What is the domain of a square root function?
A line passing through two distinct points
[0 -+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
Undefined slope

49. What is the line called that illustrates the straight line between the two points when showing average rate of change?
1 -2 -3
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The secant line
F(x2)-f(x1) / x2-x1

50. Is the square root function odd - even or neither?
Y=10
Neither
Down
When does a graph not define y as a function of x?