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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 formula for slope?
F(x)=3 square root x
The slope of a line containing two points
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1

2. What are the four steps for solving a linear equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=+c and f(x)-c
(-infinity - +infinity)
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.

3. Is an identity function even - odd or neither?
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
(-infinity - +infinity)
Odd
Horizontal right

4. What is the range for a standard quadratic function?
F(x)=suare root of x
Conditional
Conditional
(-infinity - 0]you[0 - +infinity)

5. What is the domain and range of a constant function?
Y=x - identity function
(-infinity - +infinity)
Inconsistant
F(x)=+c and f(x)-c

6. Is the square root function odd - even or neither?
Only one
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Neither

7. What points do you use to plot the inverse on a graph?
The opposite coordinates
C>1 - horizontal shrinking
F(x)=3 square root x
F(x+c) and f(x-c)

8. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - 0]you[0 - +infinity)
X math 3 graph
Horizontal right

9. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph

10. What shape is the standard quadratic function?
Parabola
F(x)=3 square root x
Postiive slope
M

11. What is the formula for to calculate the difference of a quotient function?
Yes because two x's or domains can point to one y
No because you cannot have one domain pointing at two y's or ranges
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

12. What type of line is a constant function?
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
As equations
Horizontal

13. Which direction does f(x)=+c move in standard absolute value formula?
Undefined
Same
2nd catalog (zero key -) abs(x) - graph
Up

14. What are the calculator instructions for a square root function?
F(x+c) and f(x-c)
2nd key - x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)

15. What does the graph of the cube root function look like on the graph?
F(x^1)=f(x^2)
Inconsitent
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
Approach neg toward x through zero and above positive close to x

16. Draw or discuss an increasing function
Cannot be drawn in quizlet
Down
F(x^1)=f(x^2)
Identity

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

18. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
45 degree angle
Line ascending to the right gradually
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

19. A flat line underlining one vertical line is a symbol for...
(-infinity - 0]you[0 - +infinity)
Undefined slope
As many as you like
Perpendicular line

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

21. What direction does f(x)-c move in standard absolute value formula?
Approach neg toward x through zero and above positive close to x
Down
Perpendicular line
F(x)=IxI

22. What is another way of writing the absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x

23. What type of slope do vertical lines have?
When does a graph not define y as a function of x?
Undefined
Only one
(-infinity - +infinity)

24. How many ranges can you have for each domain?
Only one
Undefined
Cannot be drawn in quizlet
2nd key - x^2 - graph

25. 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
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.
Horizontal right

26. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Change in y / change in x = rise / run = y2-y1 / x2-x1

27. What is the range for an absolute value function?
Neither
Horizontal left
Down
(-infinity - 0]you[0 - +infinity)

28. Is an absolute value function even - odd or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Negative slope
Even
Yes because two x's or domains can point to one y

29. What is the formula for the square root function?
F(x)=suare root of x
Only one
Parabola - up one and right three
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. What are two examples of composit functions?
F of g and g of f
Approach neg toward x through zero and above positive close to x
F(x)=+c and f(x)-c
Neither

31. Draw or discuss a constant function
(-infinity - 0]you[0 - +infinity)
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
Even

32. 4x+5x=8x is what type of an equation?
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.
Conditional
Same
The slope of a line containing two points

33. What is the range of an identity function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Perpendicular line
Even

34. 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
Cannot be drawn in quizlet
Parraelle line
The first set of components of an ordered pair

35. What is the domain and range of a constant function?
Y=x - identity function
(-infinity - +infinity)
When does a graph not define y as a function of x?
1 -2 -3

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

37. What is the range of the cube root function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points
As many as you like

38. What is the formula for an absolute value function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The secant line
(-infinity - +infinity)
F(x)=IxI

39. Two vertical lines side by side are a symbol for what
Even
1 -2 -3
Parraelle line
Y

40. A flat line underlining one vertical line is a symbol for...
Perpendicular line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even
Cannot be drawn in quizlet

41. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Math 4 x - graph
Line ascending to the right gradually
A line passing through two distinct points

42. Which direction does f(x+c) move
Horizontal left
Only one
F(x)=x^3
(-infinity - +infinity)

43. x=all real numbers is what type of an equation?
Y=x - identity function
Identity
F(x+h)-f(x)/h h cannot equal zero
1 -2 -3

44. What is the range for the standard cubic function?
(-infinity - +infinity)
Down
Square Root
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

45. What is the domain for an absolute value function?
Y= then enter the number then press graph
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking

46. How do you calculate a constant function in your calculator?
F(x^1)=f(x^2)
(-infinity - +infinity)
Y= then enter the number then press graph
[0 -+infinity)

47. What is a range?
Absolute Value - Constant and Standard Quadratic
Postiive slope
The second set of components of an ordered pair
[0 -+infinity)

48. What is another way to write f(x)=x - what type of function is this?
M
2nd key - x^2 - graph
Y=x - identity function
Line ascending to the right gradually

49. y=f(cx) - What does this formula represent?
Up
No because you cannot have one domain pointing at two y's or ranges
C>1 - horizontal shrinking
45 degree angle

50. How are functions normally written?
(-infinity - +infinity)
45 degree angle
M
As equations