Test your basic knowledge |

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 domain?
Function notation
The first set of components of an ordered pair
A line passing through two distinct points
Same

2. Is the square root function odd - even or neither?
45 degree angle
(-infinity - +infinity)
Neither
F(x^1)=f(x^2)

3. What are the four steps for solving a linear equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
Negative inverse
A line passing through two distinct points

4. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
X = the original sale price and the formula is x - .40x =$276
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
Identity

5. What equation does every line have? Discuss the variables.
[0 -+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.
Horizontal right
Identity

6. What is the domain and range of a constant function?
M
Cannot be drawn in quizlet
(-infinity - +infinity)
Y

7. What is the range of an identity function?
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
F(x)=+c and f(x)-c

8. What is the domain of a square root function?
F(x^1)=f(x^2)
When does a graph not define y as a function of x?
Equation of a line
[0 -+infinity)

9. What is a range?
The secant line
(-infinity - +infinity)
Undefined slope
The second set of components of an ordered pair

10. What is the range for an absolute value function?
F of g and g of f
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd
(-infinity - 0]you[0 - +infinity)

11. What does the average rate of change formula solve?
F(x)=x^3
Function notation
Y=10
The slope of a line containing two points

12. How would this formula move f(x)=(x+1)^2-3
Horizontal left
(-infinity - +infinity)
Parabola - up one and right three
Undefined

13. What is the slope intercept formula? Define all the variables.
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What is a constant function?
X^2
F(x^1)=f(x^2)
Inconsitent
Horizontal left

15. What type of slope do you have when a line falls left to right and m<0?
Negative slope
2nd key - x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant

16. y=f(cx) - What does this formula represent?
Function notation
Even
C>1 - horizontal shrinking
(-infinity - +infinity)

17. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Square Root
Three odd - cube root - identity - standard cubic
Horizontal

18. What is the formula for an identity function?
Neither
F(x) = x
F(x)=3 square root x
Inconsistant

19. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Even
Y
The secant line
Undefined

20. What type of slope do horizontal lines have?
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity
Same

21. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
F(x)=suare root of x
Conditional
(-infinity - +infinity)

22. 4(x-7)=4x-28 is what type of an equation?
Cannot be drawn in quizlet
Even
F(x)=+c and f(x)-c
Identity

23. In an identity function if f(10)=x than What is y?
Y=x - identity function
X=a
Y=10
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

24. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Mirror image neg quadrant to that of the positive quandrant
Undefined
[0 -+infinity)
The secant line

25. What is another way to write f(x)=x - what type of function is this?
F(x2)-f(x1) / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)
Y=x - identity function

26. x=no real numbers is what type of an equation?
Undefined slope
Inconsistant
45 degree angle
Yes - all the domains points to one range

27. What is an identity function?
F(x)=3 square root x
Even
45 degree angle
Y=b

28. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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
X is the hours to repair the boat. $1603-532=anwser/63 = x
1 -2 -3
45 degree angle

29. What is the range of the constant function?
20+.05x=5+.10x x=minutes
Postiive slope
No because you cannot have one domain pointing at two y's or ranges
The single number y=

30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
F(x)=suare root of x
2nd key - x^2 - graph
(-infinity - +infinity)

31. Draw or discuss a constant function
Cannot be drawn in quizlet
The minimum or maximum points
F(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x

32. What is slope?
A line passing through two distinct points
20+.05x=5+.10x x=minutes
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.

33. x=all real numbers is what type of an equation?
2nd key - x^2 - graph
F(x)=x^3
Identity
Parabola

34. x=all real numbers is what type of an equation?
Odd
Y=x^2 - graph
Identity
Horizontal

35. What type of line is an identity function?
45 degree angle
Same
Function notation
Horizontal right

36. Which direction does f(x-c) move
Odd
F(x) = x
Horizontal left
Horizontal right

37. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Y=IxI
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

38. What is the formula for an absolute value function?
Neither
(-infinity - +infinity)
F(x)=IxI
Horizontal right

39. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points
F of g and g of f

40. Is the standard cubic function odd - even or neither?
Zero slope
Y
F(x)=+c and f(x)-c
Odd

41. What does the absolute value function look like?
Identity
A V
Any set of ordered pairs
Even

42. A flat line underlining one vertical line is a symbol for...
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
A line passing through two distinct points
Identity
Perpendicular line

43. What is the standard quadratic function?
Cannot be drawn in quizlet
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
X^2

44. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
F(x)=IxI
X = the original sale price and the formula is x - .40x =$276
Horizontal

45. What type of slope do horizontal lines have?
1 -2 -3
(-infinity - +infinity)
Same
In a quotient

46. What are the calculator instructions for the standard cubic function?
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
(-infinity - +infinity)
X math 3 graph
F(x)=IxI

47. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Math 4 x - graph
Line ascending to the right gradually
Cannot be drawn in quizlet

48. How do you graph Ax+By+C=0?
Horizontal right
Postiive slope
Set the x and y to zero and get the intercepts and then plot the points
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

49. What type of slope do vertical lines have?
Yes because two x's or domains can point to one y
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined
4 -6 -9

50. What are the four steps for solving a linear equation?
Same
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.
F(x2)-f(x1) / x2-x1
F(x)=+c and f(x)-c