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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 type of line is an identity function?
Down
F(x)=3 square root x
Horizontal left
45 degree angle

2. What is a domain?
Only one
M
The first set of components of an ordered pair
(-infinity - +infinity)

3. What can never equal zero in the slope formula and why?
Function notation
X2-x1 because the demonaitor of a quotient can never equal zero
Undefined slope
F(x+h)-f(x)/h h cannot equal zero

4. Of the seven of algebra's common graph's how many are neither?
Square Root
Cannot be drawn in quizlet
Negative slope
The opposite coordinates

5. How are functions normally written?
Identity
F(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph
As equations

6. What is the point slope formula and when do you use it?
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
Same
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Negative inverse

7. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Piecewise
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. What is the slope intercept formula? Define all the variables.
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative slope

9. Is the square root function odd - even or neither?
Neither
Horizontal left
Yes because two x's or domains can point to one y
Negative slope

10. What is a domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Postiive slope
The first set of components of an ordered pair
F(x^1)=f(x^2)

11. What type of slope do vertical lines have?
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
Undefined
As equations
F(x)=3 square root x

12. What shape is the standard quadratic function?
Any set of ordered pairs
Parabola
Negative inverse
(-infinity - +infinity)

13. What can never equal zero in the slope formula and why?
Even
No because you cannot have one domain pointing at two y's or ranges
X^2
X2-x1 because the demonaitor of a quotient can never equal zero

14. f(x) = x^2+3x+5 - what type of formula is this?
A line passing through two distinct points
F(x+c) and f(x-c)
(-infinity - +infinity)
Function notation

15. What shape is the standard quadratic function?
Down
Parabola
20+.05x=5+.10x x=minutes
F(x)=x^3

16. Is a constant function even - odd or neither?
Horizontal left
Even
Y= then enter the number then press graph
Parabola - up one and right three

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

18. x= a real number is what type of equation?
Conditional
C>1 - horizontal shrinking
45 degree angle
Y

19. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Odd
Y=x^2 - graph
20+.05x=5+.10x x=minutes
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

20. What is the range for an absolute value function?
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Y=IxI

21. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
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
Y

22. What are the steps for solving a word problem?
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
Cannot be drawn in quizlet
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph

23. y=f(cx) - What does this formula represent?
Conditional
Inconsistant
C>1 - horizontal shrinking
(-infinity - +infinity)

24. What does the average rate of change formula solve?
Odd
The slope of a line containing two points
Mirror image neg quadrant to that of the positive quandrant
Horizontal left

25. What type of slope do you have when m=? and the line is vertical?
Math 4 x - graph
Undefined slope
Negative inverse
(-infinity - +infinity)

26. Is a constant function even - odd or neither?
Even
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
In a quotient

27. What is the horizontal line formula?
F(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
Parabola
Y=b

28. How do you calculate a constant function in your calculator?
Horizontal
The slope of a line containing two points
Y= then enter the number then press graph
Parabola - up one and right three

29. 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
The second set of components of an ordered pair
[0 -+infinity)

30. What is the range for the standard cubic function?
C>1 - horizontal shrinking
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = x

31. 4x+5x=8x is what type of an equation?
F(x)=+c and f(x)-c
F(x) = x
Even
Conditional

32. How many ranges can you have for each domain?
Inconsistant
Only one
Y=x^2 - graph
Any set of ordered pairs

33. What does the square root function look like on a graph?
Line ascending to the right gradually
F(x) = x
Identity
[0 -+infinity)

34. What are the calculator instructions for the cube root function?
Parraelle line
1 -2 -3
Down
Math 4 x - graph

35. A flat line underlining one vertical line is a symbol for...
(-infinity - 0]you[0 - +infinity)
Down
M
Perpendicular line

36. Is the square root function odd - even or neither?
20+.05x=5+.10x x=minutes
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither
Undefined

37. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Undefined slope
Cannot be drawn in quizlet
F(x)=IxI
20+.05x=5+.10x x=minutes

38. What is the range of the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
4 -6 -9
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

39. standard absolute value - horizontal shift formulas for left and right
F(x) = x
F(x+c) and f(x-c)
Math 4 x - graph
0<c<1 - horizontal stretching

40. y=f(cx) - What does this formula represent?
As equations
F(x)=suare root of x
C>1 - horizontal shrinking
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

41. What are the calculator instructions for the cube root function?
X math 3 graph
Even
No because you cannot have one domain pointing at two y's or ranges
Math 4 x - graph

42. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Cannot be drawn in quizlet
A V
X is the hours to repair the boat. $1603-532=anwser/63 = x

43. What is a function?
Identity
Cannot be drawn in quizlet
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

44. What is the range of a square root function?
Conditional
Negative inverse
[0 -+infinity)
The single number y=

45. What is the vertex?
F of g and g of f
The minimum or maximum points
F(x+c) and f(x-c)
Even

46. Of the seven of algebra's common graph's how many are even?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
Negative slope

47. What does the average rate of change formula solve?
Y=x - identity function
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points

48. What is the average rate of change formula?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Identity
Square Root

49. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Parabola - up one and right three
45 degree angle
(-infinity - +infinity)

50. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Identity
The second set of components of an ordered pair
Three odd - cube root - identity - standard cubic