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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. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Horizontal right
4 -6 -9
F(x+h)-f(x)/h h cannot equal zero
Identity

2. What is a constant function?
Y=IxI
Zero slope
X math 3 graph
F(x^1)=f(x^2)

3. x=all real numbers is what type of an equation?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Identity
2nd key - x^2 - graph

4. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Because the demintor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)
When does a graph not define y as a function of x?

5. Of the seven of algebra's common graph's how many are even?
M
Even
F(x)=IxI
Absolute Value - Constant and Standard Quadratic

6. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
The opposite coordinates
Odd
Yes - all the domains points to one range

7. What is the domain of an identity function?
(-infinity - +infinity)
Y
Y=IxI
Absolute Value - Constant and Standard Quadratic

8. Is the square root function odd - even or neither?
Yes because two x's or domains can point to one y
Neither
The minimum or maximum points
[0 -+infinity)

9. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Yes - all the domains points to one range
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
[0 -+infinity)
Y=b

10. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
45 degree angle
Y=x^2 - graph
Undefined slope

11. What type of slope do vertical lines have?
X=a
Undefined
F(x2)-f(x1) / x2-x1
The single number y=

12. Is a standard quadratic function even - odd or neither?
Function notation
Even
Math 4 x - graph
(-infinity - +infinity)

13. What does the absolute value function look like?
Y=x^2 - graph
Equation of a line
A V
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

14. Why can h not equal zero in the difference of a quotient function formula?
A V
Because the demintor of a quotient can never equal zero
Even
Horizontal

15. What points do you use to plot the inverse on a graph?
The opposite coordinates
Horizontal right
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.
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.

16. What are the calculator instructions for a square root function?
Yes - all the domains points to one range
Even
F(x)=+c and f(x)-c
2nd key - x^2 - graph

17. x=no real numbers is what type of an equation?
(-infinity - +infinity)
Inconsistant
F(x)=x^3
F(x2)-f(x1) / x2-x1

18. What direction does f(x)-c move in standard absolute value formula?
F(x2)-f(x1) / x2-x1
Piecewise
Down
Cannot be drawn in quizlet

19. What is the letter used to represent slope?
Any set of ordered pairs
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
M
45 degree angle

20. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
In a quotient
Up
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276

21. Draw or discuss a constant function
As many as you like
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1

22. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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
Equation of a line
In a quotient
1 -2 -3

23. 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
Parabola - up one and right three
When does a graph not define y as a function of x?
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

24. When is the only time (-infinity - +infinity) is not the domain?
Cannot be drawn in quizlet
In a quotient
The opposite coordinates
As equations

25. What is the average rate of change formula?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Neither
Y

26. What is the formula in both horizontal stretching and horizontal shrinking?
X = the original sale price and the formula is x - .40x =$276
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X=a
Math 4 x - graph

27. What is the letter used to represent slope?
Yes - all the domains points to one range
The first set of components of an ordered pair
M
F(x) = x

28. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
F(x)=x^3
Set the x and y to zero and get the intercepts and then plot the points

29. What is the range of the constant function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
The single number y=

30. What direction does f(x)-c move in standard absolute value formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
[0 -+infinity)
Down
Three odd - cube root - identity - standard cubic

31. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd
The secant line

32. x=no real numbers is what type of an equation?
F(x^1)=f(x^2)
Inconsistant
Y
Undefined

33. What is the domain for an absolute value function?
F(x)=IxI
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.
2nd key - x^2 - graph
(-infinity - +infinity)

34. What are the calculator instructions for the standard cubic function?
X math 3 graph
Parabola - up one and right three
F(x)=x^3
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

35. How do you graph Ax+By+C=0?
Y=10
Even
Set the x and y to zero and get the intercepts and then plot the points
F(x)=x^3

36. What is a range?
The second set of components of an ordered pair
Because the demintor of a quotient can never equal zero
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. What is the range of an identity function?
Inconsitent
F(x+c) and f(x-c)
(-infinity - +infinity)
Cannot be drawn in quizlet

38. What is the vertex?
Even
Conditional
The minimum or maximum points
X = the original sale price and the formula is x - .40x =$276

39. Which direction does f(x-c) move
Horizontal right
Negative inverse
The opposite coordinates
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

40. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
Because the demintor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

41. What is the standard quadratic function?
Horizontal right
X^2
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x

42. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(-infinity - +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
X is the hours to repair the boat. $1603-532=anwser/63 = x
Down

43. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
F(x)=3 square root x
Horizontal
Identity

44. Draw or discuss an increasing function
Zero slope
Cannot be drawn in quizlet
4 -6 -9
Undefined

45. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant
F(x)=3 square root x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

46. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function
(-infinity - 0]you[0 - +infinity)
Equation of a line

47. What is the range of the cube root function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Piecewise
Y=x^2 - graph

48. What is the range of a square root function?
45 degree angle
[0 -+infinity)
F(x)=+c and f(x)-c
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

49. 4x+5x=8x is what type of an equation?
Y=IxI
(-infinity - +infinity)
Y=x^2 - graph
Conditional

50. Which direction does f(x)=+c move in standard absolute value formula?
Up
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope