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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 a range?
Y
Three odd - cube root - identity - standard cubic
Horizontal left
The second set of components of an ordered pair

2. What are the four steps for finding the inverse of a function?
Conditional
(-infinity - 0]you[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal

3. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Odd
F(x)=x^3
Equation of a line

4. What is the point slope formula and when do you use it?
The second set of components of an ordered pair
F of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V

5. How are functions normally written?
Down
2nd key - x^2 - graph
The second set of components of an ordered pair
As equations

6. Which direction does f(x+c) move
Zero slope
Horizontal left
F(x)=+c and f(x)-c
Y=10

7. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal left
F(x+c) and f(x-c)
Horizontal

8. What is the range for a standard quadratic function?
Yes because two x's or domains can point to one y
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
The first set of components of an ordered pair

9. Which direction does f(x)=+c move in standard absolute value formula?
Approach neg toward x through zero and above positive close to x
A V
Up
Piecewise

10. f(x) = x^2+3x+5 - what type of formula is this?
Up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Absolute Value - Constant and Standard Quadratic
Function notation

11. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Absolute Value - Constant and Standard Quadratic
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)

12. What is the range for an absolute value function?
Parabola
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

13. What are the calculator instructions for the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
Math 4 x - graph
C>1 - horizontal shrinking

14. Draw or discuss an increasing function
F of g and g of f
Cannot be drawn in quizlet
Same
Y=IxI

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
As equations
4 -6 -9
Horizontal left
X math 3 graph

16. What are two examples of composit functions?
F of g and g of f
Y= then enter the number then press graph
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

17. What is the formula for the cube root function?
When does a graph not define y as a function of x?
Yes because two x's or domains can point to one y
F(x)=3 square root x
Inconsitent

18. What equation does every line have? Discuss the variables.
Postiive slope
The single number y=
Down
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.

19. Of the seven of algebra's common graph's how many are neither?
The secant line
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root

20. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one 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

21. What type of slope do horizontal lines have?
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Same
Piecewise

22. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X=a
F of g and g of f
Y= then enter the number then press graph
1 -2 -3

23. What is the slope of a perpendicular line?
Math 4 x - graph
4 -6 -9
Zero slope
Negative inverse

24. What is another way of writing the absolute value function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=IxI
F(x)=3 square root x
Odd

25. What does the graph of the cube root function look like on the graph?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A V
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

26. What is the domain of an identity function?
Even
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Horizontal left

27. What is the domain for an absolute value function?
(-infinity - +infinity)
In a quotient
Horizontal right
Square Root

28. What is the formula for slope?
(-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
F(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1

29. What is the average rate of change formula?
Cannot be drawn in quizlet
Even
The first set of components of an ordered pair
F(x2)-f(x1) / x2-x1

30. standard absolute value - horizontal shift formulas for left and right
Even
F(x)=x^3
F(x+c) and f(x-c)
F(x^1)=f(x^2)

31. Is the square root function odd - even or neither?
F(x)=suare root of x
45 degree angle
(-infinity - +infinity)
Neither

32. What are the steps for solving a word problem?
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.
Equation of a line
Function notation
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

33. What does the average rate of change formula solve?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The slope of a line containing two points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

34. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
X math 3 graph

35. What is the range of a square root function?
(-infinity - +infinity)
1 -2 -3
Undefined
[0 -+infinity)

36. What is the range of an identity function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
As equations
[0 -+infinity)

37. f(x) = x^2+3x+5 - what type of formula is this?
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points
Function notation

38. Is a constant 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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Even

39. What is the domain for an absolute value function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
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.
Negative inverse

40. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
1 -2 -3
20+.05x=5+.10x x=minutes

41. How do you graph Ax+By+C=0?
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Set the x and y to zero and get the intercepts and then plot the points
Neither

42. What is the formula for the standard cubic function?
X2-x1 because the demonaitor of a quotient can never equal zero
Math 4 x - graph
F(x)=x^3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

43. What type of slope do vertical lines have?
As many as you like
Up
X^2
Undefined

44. x=no real numbers is what type of an equation?
X math 3 graph
Inconsistant
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.
2nd key - x^2 - graph

45. What shape is the standard quadratic function?
F(x)=3 square root x
The second set of components of an ordered pair
Parabola
(-infinity - +infinity)

46. What equation does every line have? Discuss the variables.
Y
Because the demintor of a quotient can never equal zero
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.
A V

47. Draw or discuss a constant function
2nd key - x^2 - graph
No because you cannot have one domain pointing at two y's or ranges
X math 3 graph
Cannot be drawn in quizlet

48. What type of slope do horizontal lines have?
Equation of a line
Same
The first set of components of an ordered pair
M

49. What are the calculator instructions for the cube root function?
Math 4 x - graph
Y=b
When does a graph not define y as a function of x?
Identity

50. What is the domain for the standard cubic function?
Same
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
The opposite coordinates