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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?
Y=b
Horizontal
Identity
Same

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

3. What is the domain of a square root function?
[0 -+infinity)
Even
M
Piecewise

4. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x)=suare root of x
Line ascending to the right gradually
[0 -+infinity)
Yes - all the domains points to one range

5. What equation does every line have? Discuss the variables.
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.
Horizontal left
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
When does a graph not define y as a function of x?

6. How many ranges can you have for each domain?
2nd catalog (zero key -) abs(x) - graph
Mirror image neg quadrant to that of the positive quandrant
The slope of a line containing two points
Only one

7. What is another way of writing the absolute value function?
(-infinity - +infinity)
Math 4 x - graph
Y=IxI
Cannot be drawn in quizlet

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

9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Parabola
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
Yes - all the domains points to one range

10. What is the range of the cube root function?
X math 3 graph
(-infinity - +infinity)
Equation of a line
Even

11. standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
2nd key - x^2 - graph
F(x+c) and f(x-c)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. What is the range for an absolute value function?
No because you cannot have one domain pointing at two y's or ranges
Square Root
Even
(-infinity - 0]you[0 - +infinity)

13. What type of line is a constant function?
X math 3 graph
As equations
Horizontal
Mirror image neg quadrant to that of the positive quandrant

14. What type of slope do you have when a line falls left to right and m<0?
Negative slope
(-infinity - +infinity)
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant

15. What is the point slope formula and when do you use it?
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
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276

16. 4x+5x=8x is what type of an equation?
Mirror image neg quadrant to that of the positive quandrant
Conditional
F of g and g of f
The opposite coordinates

17. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Even
Function notation
Cannot be drawn in quizlet

18. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Y= then enter the number then press graph
Undefined slope
Because the demintor of a quotient can never equal zero

19. What is slope?
Yes - all the domains points to one range
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points
Even

20. y=f(cx) - What does this formula represent?
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
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
The first set of components of an ordered pair

21. How are functions normally written?
Function notation
Only one
F(x+h)-f(x)/h h cannot equal zero
As equations

22. When is the only time (-infinity - +infinity) is not the domain?
M
45 degree angle
Negative slope
In a quotient

23. What is the range of the constant function?
F of g and g of f
The single number y=
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points

24. What is another way to write f(x)=x - what type of function is this?
Odd
Y=x - identity function
[0 -+infinity)
The secant line

25. What can we substitute for f(x)?
45 degree angle
Y=IxI
Y
F(x)=suare root of x

26. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
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
Yes - all the domains points to one range

27. Draw or discuss a decreasing function
1 -2 -3
Even
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x

28. What is the formula for slope?
F of g and g of f
Undefined
Change in y / change in x = rise / run = y2-y1 / x2-x1
1 -2 -3

29. Which direction does f(x-c) move
Parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal right
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

30. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Equation of a line
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
Y

31. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Even
Cannot be drawn in quizlet

32. What is a relation?
Parabola - up one and right three
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Any set of ordered pairs

33. What does the standard cubic function look like on a graph?
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges

34. What are the calculator instructions for a square root function?
Neither
4 -6 -9
Y=x^2 - graph
2nd key - x^2 - graph

35. standard absolute value - vertical shift formulas for positve and negative
Three odd - cube root - identity - standard cubic
No because you cannot have one domain pointing at two y's or ranges
Horizontal
F(x)=+c and f(x)-c

36. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
When does a graph not define y as a function of x?
(-infinity - +infinity)
Negative slope
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

37. What type of slope do you have when a line rises from left to right and m>0?
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
Postiive slope
In a quotient

38. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
F(x)=+c and f(x)-c
(-infinity - +infinity)
Horizontal

39. What is the domain for the standard cubic function?
(-infinity - +infinity)
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

40. Of the seven of algebra's common graph's how many are even?
Yes - all the domains points to one range
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.
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

41. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1
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
Neither

42. What type of slope do you have when a line rises from left to right and m>0?
X math 3 graph
Postiive slope
X=a
Parraelle line

43. Which direction does f(x-c) move
Horizontal right
X=a
Horizontal
F of g and g of f

44. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
[0 -+infinity)
(-infinity - +infinity)
(-infinity - +infinity)

45. What is the range of a square root function?
F(x+c) and f(x-c)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

46. Draw or discuss an increasing function
Same
45 degree angle
Cannot be drawn in quizlet
C>1 - horizontal shrinking

47. What is the domain of a square root function?
[0 -+infinity)
Horizontal right
Yes - all the domains points to one range
Square Root

48. What is the domain of an identity 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.
(-infinity - +infinity)
X^2
Y

49. What is the slope intercept formula? Define all the variables.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd catalog (zero key -) abs(x) - graph

50. What are the steps for solving a word problem?
Odd
Y=x^2 - graph
Same
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