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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. standard absolute value - horizontal shift formulas for left and right
Yes - all the domains points to one range
Square Root
Only one
F(x+c) and f(x-c)

2. What is the standard quadratic function?
The slope of a line containing two points
X^2
The minimum or maximum points
45 degree angle

3. Draw or discuss a decreasing function
Parabola - up one and right three
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - +infinity)

4. A flat line underlining one vertical line is a symbol for...
F(x) = x
Perpendicular line
X2-x1 because the demonaitor 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

5. What direction does f(x)-c move in standard absolute value formula?
Down
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Horizontal left

6. What is the domain of an identity function?
A line passing through two distinct points
The single number y=
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

7. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Yes because two x's or domains can point to one y
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

8. What is the domain for the standard cubic function?
M
(-infinity - +infinity)
The second set of components of an ordered pair
F(x)=3 square root x

9. x= a real number is what type of equation?
(-infinity - +infinity)
Conditional
Square Root
Any set of ordered pairs

10. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Perpendicular line
Inconsistant

11. What is the vertex?
The minimum or maximum points
The secant line
Any set of ordered pairs
Horizontal left

12. Draw or discuss a constant function
Cannot be drawn in quizlet
In a quotient
X math 3 graph
The slope of a line containing two points

13. What is the range of the constant function?
The single number y=
Even
Postiive slope
4 -6 -9

14. What is a constant function?
Parabola
(f+g) - (f-g) - (fg) - (f/g) all of x
A V
F(x^1)=f(x^2)

15. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(-infinity - +infinity)
Cannot be drawn in quizlet
Parabola

16. x=no real numbers is what type of an equation?
Horizontal right
Absolute Value - Constant and Standard Quadratic
Inconsistant
F of g and g of f

17. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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

18. What does the standard cubic function look like on a graph?
Any set of ordered pairs
Piecewise
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant

19. y=f(cx) What does this formula represent?
Conditional
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.
0<c<1 - horizontal stretching
Up

20. What equation does every line have? Discuss the variables.
F(x)=+c and f(x)-c
Equation of a line
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.
Three odd - cube root - identity - standard cubic

21. What type of slope do you have when a line falls left to right and m<0?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative slope
Undefined
Because the demintor of a quotient can never equal zero

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

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

24. What is the domain for an absolute value function?
Absolute Value - Constant and Standard Quadratic
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
(-infinity - +infinity)
Math 4 x - graph

25. Of the seven of algebra's common graph's how many are odd?
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
F(x)=suare root of x
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?

26. What is the formula for an absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=IxI
Cannot be drawn in quizlet
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.

27. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Y=b
Three odd - cube root - identity - standard cubic
Conditional

28. What does the graph of the cube root function look like on the graph?
F(x)=suare root of x
Odd
Approach neg toward x through zero and above positive close to x
X is the hours to repair the boat. $1603-532=anwser/63 = x

29. What is a domain?
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
The opposite coordinates

30. What shape is the standard quadratic function?
F(x2)-f(x1) / x2-x1
Parabola
Horizontal
Y

31. 4x+5x=8x is what type of an equation?
F(x)=3 square root x
Postiive slope
The opposite coordinates
Conditional

32. What can we substitute for f(x)?
Y
Odd
X = the original sale price and the formula is x - .40x =$276
Undefined slope

33. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X=a
F(x+h)-f(x)/h h cannot equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line

34. What are the calculator instructions for the standard cubic function?
Even
X math 3 graph
4 -6 -9
45 degree angle

35. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
As many as you like

36. Is a standard quadratic function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
F(x^1)=f(x^2)
A V
Even

37. How would this formula move f(x)=(x+1)^2-3
Line ascending to the right gradually
Parabola - up one and right three
C>1 - horizontal shrinking
The opposite coordinates

38. $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?
The first set of components of an ordered pair
F(x^1)=f(x^2)
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
Y=IxI

39. standard absolute value - horizontal shift formulas for left and right
Cannot be drawn in quizlet
F(x+c) and f(x-c)
Conditional
(-infinity - +infinity)

40. What is the point slope formula and when do you use it?
Identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Equation of a line
(-infinity - +infinity)

41. What is an identity function?
The minimum or maximum points
Odd
45 degree angle
Y=x^2 - graph

42. What is a constant function?
F(x^1)=f(x^2)
Undefined
Parraelle line
Y=x^2 - graph

43. What is the formula for the cube root function?
Down
F(x)=3 square root x
Negative inverse
Y= then enter the number then press graph

44. What is a range?
The second set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
Conditional
Absolute Value - Constant and Standard Quadratic

45. What is the formula in both horizontal stretching and horizontal shrinking?
Y=x - identity function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Y=10

46. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
4 -6 -9
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal

47. x=no real numbers is what type of an equation?
Inconsistant
Identity
0<c<1 - horizontal stretching
F(x+c) and f(x-c)

48. What is the range of a square root function?
F(x+c) and f(x-c)
[0 -+infinity)
F(x)=+c and f(x)-c
Square Root

49. What is another way of writing the absolute value function?
The first set of components of an ordered pair
Y=IxI
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

50. Why can h not equal zero in the difference of a quotient function formula?
Identity
(-infinity - +infinity)
[0 -+infinity)
Because the demintor of a quotient can never equal zero