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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 type of slope do horizontal lines have?
Same
Any set of ordered pairs
Yes - all the domains points to one range
The second set of components of an ordered pair

2. Which direction does f(x+c) move
Even
Any set of ordered pairs
(-infinity - +infinity)
Horizontal left

3. What type of slope do horizontal lines have?
2nd key - x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant
Same

4. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Function notation
F(x+h)-f(x)/h h cannot equal zero
Square Root

5. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
F(x+c) and f(x-c)
F(x)=x^3
Perpendicular line

6. x= a real number is what type of equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Conditional
Even
(-infinity - +infinity)

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Perpendicular line
The secant line
(-infinity - +infinity)
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

8. What is the domain of a square root function?
F(x^1)=f(x^2)
[0 -+infinity)
Math 4 x - graph
Y=x^2 - graph

9. What type of line is an identity function?
Postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+h)-f(x)/h h cannot equal zero
45 degree angle

10. What can we substitute for f(x)?
Parabola
Function notation
Horizontal
Y

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

12. Is an absolute value function even - odd or neither?
Y=10
Even
Odd
Odd

13. How many ranges can you have for each domain?
Perpendicular line
Y=x^2 - graph
Only one
(-infinity - +infinity)

14. How do you calculate a constant function in your calculator?
45 degree angle
Y= then enter the number then press graph
Because the demintor of a quotient can never equal zero
Postiive slope

15. What is the standard quadratic function?
The second set of components of an ordered pair
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^2
Y

16. Of the seven of algebra's common graph's how many are neither?
Undefined
F(x)=x^3
Square Root
0<c<1 - horizontal stretching

17. What is the range of a square root function?
Set the x and y to zero and get the intercepts and then plot the points
[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
Odd

18. $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
X^2
(-infinity - +infinity)
Horizontal

19. x=all real numbers is what type of an equation?
Line ascending to the right gradually
The single number y=
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
Identity

20. What is the range for the standard cubic function?
45 degree angle
Absolute Value - Constant and Standard Quadratic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

21. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
M
Up
Y=x^2 - graph

22. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
M
Y=b
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

23. Is the standard cubic function odd - even or neither?
F(x2)-f(x1) / x2-x1
Odd
(-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.

24. What is the range of an identity function?
(-infinity - +infinity)
Even
X = the original sale price and the formula is x - .40x =$276
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

25. What equation does every line have? Discuss the variables.
45 degree angle
Even
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.
(f+g) - (f-g) - (fg) - (f/g) all of x

26. What is the domain and range of a constant function?
45 degree angle
(-infinity - +infinity)
[0 -+infinity)
[0 -+infinity)

27. What is the slope intercept formula? Define all the variables.
Yes - all the domains points to one range
Neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)

28. What is the range for the standard cubic function?
Identity
Undefined slope
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

29. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A line passing through two distinct points

30. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
(-infinity - +infinity)
Piecewise
Conditional

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

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32. What is the point slope formula and when do you use it?
Horizontal left
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The secant line
Square Root

33. standard absolute value - horizontal shift formulas for left and right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined
F(x+c) and f(x-c)
Even

34. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The secant line
45 degree angle
X = the original sale price and the formula is x - .40x =$276
Y

35. f(x) = x^2+3x+5 - what type of formula is this?
Any set of ordered pairs
Function notation
M
(f+g) - (f-g) - (fg) - (f/g) all of x

36. Why can h not equal zero in the difference of a quotient function formula?
Even
Horizontal
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero

37. Which direction does f(x+c) move
X math 3 graph
Horizontal left
Horizontal
Yes because two x's or domains can point to one y

38. What can never equal zero in the slope formula and why?
Piecewise
X math 3 graph
Three odd - cube root - identity - standard cubic
X2-x1 because the demonaitor of a quotient can never equal zero

39. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
In a quotient
20+.05x=5+.10x x=minutes

40. What is a domain?
The opposite coordinates
Function notation
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
The first set of components of an ordered pair

41. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Cannot be drawn in quizlet
Undefined
Y=x - identity function

42. What is a relation?
Y=10
Cannot be drawn in quizlet
(-infinity - +infinity)
Any set of ordered pairs

43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Equation of a line
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
1 -2 -3

44. What are the four steps for finding the inverse of a function?
Inconsitent
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
In a quotient
Parabola

45. x=all real numbers is what type of an equation?
Identity
Y=x - identity function
Approach neg toward x through zero and above positive close to x
F(x)=suare root of x

46. How do you graph Ax+By+C=0?
Even
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
Set the x and y to zero and get the intercepts and then plot the points

47. standard absolute value - vertical shift formulas for positve and negative
As many as you like
F(x)=+c and f(x)-c
Horizontal
X = the original sale price and the formula is x - .40x =$276

48. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Any set of ordered pairs
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
Perpendicular line

49. 4(x-7)=4x+28 is what type of an equation?
Odd
Approach neg toward x through zero and above positive close to x
Inconsitent
F of g and g of f

50. Is an identity function even - odd or neither?
X=a
Parraelle line
Odd
No because you cannot have one domain pointing at two y's or ranges