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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 can never equal zero in the slope formula and why?
F(x)=suare root of x
X2-x1 because the demonaitor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
Conditional

2. What type of line is a constant function?
F(x+c) and f(x-c)
Horizontal
Cannot be drawn in quizlet
Identity

3. What is the vertex?
Math 4 x - graph
The minimum or maximum points
Because the demintor of a quotient can never equal zero
45 degree angle

4. What does linear equation mean?
Identity
F(x)=+c and f(x)-c
(-infinity - +infinity)
Equation of a line

5. What is a domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The first set of components of an ordered pair
Y=10
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

6. What type of slope do you have when a line falls left to right and m<0?
Negative slope
0<c<1 - horizontal stretching
F(x)=+c and f(x)-c
Up

7. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
(-infinity - +infinity)
Yes because two x's or domains can point to one y

8. What is another way of writing the absolute value function?
Y= then enter the number then press graph
Y=IxI
Negative inverse
F of g and g of f

9. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Negative inverse
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
Set the x and y to zero and get the intercepts and then plot the points

10. $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?
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)
F(x)=3 square root x
Neither

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
F(x)=+c and f(x)-c
1 -2 -3
Square Root

12. What is the formula in both horizontal stretching and horizontal shrinking?
X2-x1 because the demonaitor of a quotient can never equal zero
X=a
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X is the hours to repair the boat. $1603-532=anwser/63 = x

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

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14. What is the horizontal line formula?
Y=b
Equation of a line
F(x)=suare root of x
Identity

15. What is another way to write f(x)=x - what type of function is this?
Parraelle line
Y=x - identity function
F(x)=3 square root x
45 degree angle

16. Which direction does f(x-c) move
Horizontal right
Negative slope
Odd
[0 -+infinity)

17. How are functions normally written?
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As equations

18. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
X^2
Negative slope
Square Root

19. What are the calculator instructions for the standard cubic function?
F(x^1)=f(x^2)
(-infinity - +infinity)
X math 3 graph
Only one

20. 4(x-7)=4x+28 is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
Yes - all the domains points to one range
Inconsitent

21. Of the seven of algebra's common graph's how many are even?
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
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
Identity

22. What is the range for a standard quadratic function?
(-infinity - +infinity)
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)

23. What is the range for the standard cubic function?
Mirror image neg quadrant to that of the positive quandrant
Function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

24. What does the square root function look like on a graph?
Postiive slope
Parraelle line
F of g and g of f
Line ascending to the right gradually

25. What is the domain of an identity function?
1 -2 -3
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Approach neg toward x through zero and above positive close to x
Negative inverse
Conditional

27. What are the calculator instructions for absolute value?
Math 4 x - graph
2nd catalog (zero key -) abs(x) - graph
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.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

28. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Down
Neither
F(x+c) and f(x-c)

29. How many domains can you have pointing to one range?
As many as you like
M
1 -2 -3
X = the original sale price and the formula is x - .40x =$276

30. What type of function would you use to calculate the most advantageous cell phone plan?
In a quotient
Piecewise
Same
A line passing through two distinct points

31. What is a constant function?
Identity
Set the x and y to zero and get the intercepts and then plot the points
F(x^1)=f(x^2)
Postiive slope

32. Of the seven of algebra's common graph's how many are neither?
Square Root
X is the hours to repair the boat. $1603-532=anwser/63 = x
The opposite coordinates
A V

33. What type of slope do horizontal lines have?
Same
Equation of a line
M
Zero slope

34. f(x) = x^2+3x+5 - what type of formula is this?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The second set of components of an ordered pair
Function notation
Even

35. Of the seven of algebra's common graph's how many are even?
Y=b
Down
Absolute Value - Constant and Standard Quadratic
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.

36. 4x+5x=8x is what type of an equation?
Three odd - cube root - identity - standard cubic
Conditional
Y
Yes - all the domains points to one range

37. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x+c) and f(x-c)
45 degree angle
X = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1

38. What is an identity function?
[0 -+infinity)
(-infinity - +infinity)
As many as you like
45 degree angle

39. How do you graph Ax+By+C=0?
Postiive slope
Set the x and y to zero and get the intercepts and then plot the points
Parraelle line
45 degree angle

40. What is the domain for the standard cubic function?
The secant line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The single number y=
(-infinity - +infinity)

41. What is the formula for an identity function?
45 degree angle
F(x) = x
In a quotient
1 -2 -3

42. What is the formula for the square root function?
4 -6 -9
F(x)=+c and f(x)-c
Horizontal
F(x)=suare root of x

43. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
X math 3 graph
As equations
A V

44. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parabola
M

45. Is a standard quadratic function even - odd or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y
F(x)=suare root of x
Even

46. What is the vertical line test?
When does a graph not define y as a function of x?
Inconsistant
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.
The opposite coordinates

47. Is the standard cubic function odd - even or neither?
M
Any set of ordered pairs
Parabola
Odd

48. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Horizontal
0<c<1 - horizontal stretching
C>1 - horizontal shrinking

49. What equation does every line have? Discuss the variables.
Inconsistant
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.
Only one
Even

50. What is the range of an identity function?
(-infinity - +infinity)
Y=IxI
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.