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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. f(x) = x^2+3x+5 - what type of formula is this?
20+.05x=5+.10x x=minutes
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse
Function notation

2. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
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.
Postiive slope
Yes - all the domains points to one range
A V

3. x=all real numbers is what type of an equation?
Even
Perpendicular line
No because you cannot have one domain pointing at two y's or ranges
Identity

4. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
X^2
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes

5. What is another way of writing the absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
C>1 - horizontal shrinking
Y=IxI
The first set of components of an ordered pair

6. What equation does every line have? Discuss the variables.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
Any set of ordered pairs
1 -2 -3

7. f(x) = x^2+3x+5 - what type of formula is this?
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
Function notation
Conditional
Even

8. x=all real numbers is what type of an equation?
(-infinity - 0]you[0 - +infinity)
Inconsitent
Cannot be drawn in quizlet
Identity

9. Draw or discuss a constant function
Y
Horizontal right
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
Cannot be drawn in quizlet

10. Draw or discuss an increasing function
Cannot be drawn in quizlet
X^2
F(x^1)=f(x^2)
Perpendicular line

11. What type of slope do vertical lines have?
Y=b
Undefined
2nd key - x^2 - graph
Equation of a line

12. 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
Square Root
45 degree angle

13. What is the domain for an absolute value function?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line
X math 3 graph

14. What is the formula for an absolute value function?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Perpendicular line
F(x)=IxI

15. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
X2-x1 because the demonaitor of a quotient can never equal zero
Zero slope
Math 4 x - graph

16. Why can h not equal zero in the difference of a quotient function formula?
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
Because the demintor of a quotient can never equal zero
Line ascending to the right gradually
Identity

17. What is a relation?
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.
Y=x - identity function
Odd
Any set of ordered pairs

18. What is a range?
F(x)=+c and f(x)-c
(-infinity - +infinity)
Y
The second set of components of an ordered pair

19. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Y= then enter the number then press graph
The slope of a line containing two points
F(x)=x^3

20. What is an identity function?
Up
45 degree angle
F(x) = x
The secant line

21. What is a constant function?
Mirror image neg quadrant to that of the positive quandrant
F(x^1)=f(x^2)
45 degree angle
Horizontal

22. What is the horizontal line formula?
Y=b
2nd catalog (zero key -) abs(x) - graph
F(x+c) and f(x-c)
Function notation

23. standard absolute value - vertical shift formulas for positve and negative
X^2
Odd
F(x)=+c and f(x)-c
45 degree angle

24. What does the average rate of change formula solve?
The slope of a line containing two points
Y=10
(-infinity - +infinity)
The single number y=

25. What is the formula for the square root function?
Yes because two x's or domains can point to one y
F(x)=suare root of x
(-infinity - +infinity)
When does a graph not define y as a function of x?

26. Which direction does f(x+c) move
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 -+infinity)
Horizontal left
[0 -+infinity)

27. What is the slope of a perpendicular line?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative inverse
A V
A line passing through two distinct points

28. What is the range of the constant function?
Even
The single number y=
(-infinity - +infinity)
45 degree angle

29. What does linear equation mean?
Parraelle line
Y=x - identity function
The minimum or maximum points
Equation of a line

30. Which direction does f(x-c) move
F(x)=suare root of x
M
(-infinity - +infinity)
Horizontal right

31. What is a domain?
F(x)=3 square root x
The first set of components of an ordered pair
[0 -+infinity)
Undefined

32. What is the range of the cube root function?
Horizontal right
Negative inverse
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

33. What are two examples of composit functions?
F of g and g of f
4 -6 -9
In a quotient
Inconsistant

34. How do you graph Ax+By+C=0?
Y=x - identity function
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined
Set the x and y to zero and get the intercepts and then plot the points

35. What are the four steps for solving a linear equation?
Horizontal
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.
Yes - all the domains points to one range
The secant line

36. 4(x-7)=4x-28 is what type of an equation?
Identity
Function notation
F(x)=suare root of x
When does a graph not define y as a function of x?

37. What is a function?
Parabola
Even
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

38. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x) = x

39. What are the calculator instructions for the standard cubic function?
In a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

40. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
F(x^1)=f(x^2)
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x

41. What is the formula for slope?
Identity
F(x2)-f(x1) / x2-x1
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parraelle line

42. A flat line underlining one vertical line is a symbol for...
F(x)=+c and f(x)-c
F(x)=IxI
Perpendicular line
A line passing through two distinct points

43. How are functions normally written?
Yes - all the domains points to one range
As equations
Identity
2nd catalog (zero key -) abs(x) - graph

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

45. Two vertical lines side by side are a symbol for what
F(x)=+c and f(x)-c
Parraelle line
0<c<1 - horizontal stretching
Negative inverse

46. Is a constant function even - odd or neither?
Even
(-infinity - +infinity)
Horizontal
Inconsitent

47. What is the domain for a standard quadratic function?
Any set of ordered pairs
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic

48. What type of function would you use to calculate the most advantageous cell phone plan?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
4 -6 -9
Same
Piecewise

49. What type of slope do vertical lines have?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20+.05x=5+.10x x=minutes
Yes - all the domains points to one range
Undefined

50. Is an identity function even - odd or neither?
Parraelle line
F(x+h)-f(x)/h h cannot equal zero
Even
Odd