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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 vertical lines have?
Undefined
Change in y / change in x = rise / run = y2-y1 / x2-x1
Even
(-infinity - +infinity)

2. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
Parraelle line
X = the original sale price and the formula is x - .40x =$276
Y=b

3. In an identity function if f(10)=x than What is y?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=10
20+.05x=5+.10x x=minutes
(f+g) - (f-g) - (fg) - (f/g) all of x

4. What is the range of a square root function?
[0 -+infinity)
Horizontal
F(x)=suare root of x
Horizontal left

5. A flat line underlining one vertical line is a symbol for...
Horizontal left
M
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Perpendicular line

6. What points do you use to plot the inverse on a graph?
1 -2 -3
F(x2)-f(x1) / x2-x1
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1

7. 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?
45 degree angle
0<c<1 - horizontal stretching
Parabola
X is the hours to repair the boat. $1603-532=anwser/63 = x

8. What can we substitute for f(x)?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined
Y
Conditional

9. What is the formula for the square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=suare root of x
Undefined
F(x) = x

10. What does linear equation mean?
(-infinity - +infinity)
The secant line
Equation of a line
Odd

11. Draw or discuss an increasing function
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. 4x+5x=8x is what type of an equation?
Undefined
Conditional
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

13. What is a relation?
[0 -+infinity)
The second set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs

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

15. Two vertical lines side by side are a symbol for what
Y=10
Parraelle line
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c

16. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points
Y=b
X^2

17. What is the slope of a perpendicular line?
Any set of ordered pairs
Y=b
Y=b
Negative inverse

18. x=no real numbers is what type of an equation?
[0 -+infinity)
Identity
Inconsistant
Change in y / change in x = rise / run = y2-y1 / x2-x1

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

20. What is the vertical line test?
Even
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?

21. 4(x-7)=4x-28 is what type of an equation?
F(x+c) and f(x-c)
Yes - all the domains points to one range
F(x) = x
Identity

22. What is the range of an identity function?
The slope of a line containing two points
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

23. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
F(x)=x^3
Because the demintor of a quotient can never equal zero
The secant line

24. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet

25. What is an identity function?
X math 3 graph
45 degree angle
Horizontal left
Y=x - identity function

26. What is the range of an identity function?
X^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually
(-infinity - +infinity)

27. Is a standard quadratic function even - odd or neither?
The secant line
Even
C>1 - horizontal shrinking
Horizontal

28. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Zero slope
C>1 - horizontal shrinking
Horizontal

29. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Cannot be drawn in quizlet
Zero slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. How many ranges can you have for each domain?
(-infinity - +infinity)
Conditional
Only one
(-infinity - +infinity)

31. What is the range of the cube root function?
Function notation
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
(-infinity - +infinity)

32. What is the domain for the standard cubic function?
X2-x1 because the demonaitor of a quotient can never equal zero
The slope of a line containing two points
Cannot be drawn in quizlet
(-infinity - +infinity)

33. What is the range of the constant function?
The single number y=
Yes because two x's or domains can point to one y
The opposite coordinates
Y=x - identity function

34. What does the absolute value function look like?
Parraelle line
Negative inverse
A V
Perpendicular line

35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
(-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
2nd catalog (zero key -) abs(x) - graph

36. Which direction does f(x-c) move
The first set of components of an ordered pair
Horizontal right
Inconsistant
Set the x and y to zero and get the intercepts and then plot the points

37. How many domains can you have pointing to one range?
As many as you like
F(x+h)-f(x)/h h cannot equal zero
M
No because you cannot have one domain pointing at two y's or ranges

38. What are the calculator instructions for the standard cubic function?
X math 3 graph
(-infinity - +infinity)
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
Line ascending to the right gradually

39. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x+c) and f(x-c)
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 = the original sale price and the formula is x - .40x =$276
Conditional

40. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Inconsistant
X^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

41. What is a domain?
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(x2)-f(x1) / x2-x1
Undefined
The first set of components of an ordered pair

42. What type of slope do you have when the line is horizontal and m=0?
When does a graph not define y as a function of x?
Zero slope
A line passing through two distinct points
X is the hours to repair the boat. $1603-532=anwser/63 = x

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

44. What is the domain for an absolute value function?
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Conditional

45. x=no real numbers is what type of an equation?
Inconsistant
Zero slope
Any set of ordered pairs
F(x)=+c and f(x)-c

46. Is a standard quadratic function even - odd or neither?
Even
F(x)=3 square root x
X=a
Zero slope

47. What is the range for a standard quadratic function?
Conditional
2nd key - x^2 - graph
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three

48. What are the calculator instructions for absolute value?
Down
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
Because the demintor of a quotient can never equal zero

49. What does the average rate of change formula solve?
The slope of a line containing two points
F of g and g of f
4 -6 -9
X2-x1 because the demonaitor of a quotient can never equal zero

50. What is another way of writing the absolute value function?
Inconsistant
Y=IxI
Only one
Conditional