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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. When is the only time (-infinity - +infinity) is not the domain?
No because you cannot have one domain pointing at two y's or ranges
In a quotient
Negative slope
Y=10

2. What is a domain?
The first set of components of an ordered pair
Cannot be drawn in quizlet
Negative inverse
Y=10

3. What type of line is an identity function?
The opposite coordinates
45 degree angle
(-infinity - +infinity)
In a quotient

4. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
2nd key - x^2 - graph
The secant line
Horizontal
X = the original sale price and the formula is x - .40x =$276

5. y=f(cx) What does this formula represent?
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<c<1 - horizontal stretching
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

6. What is a relation?
Mirror image neg quadrant to that of the positive quandrant
F(x)=x^3
Any set of ordered pairs
Line ascending to the right gradually

7. In an identity function if f(10)=x than What is y?
(-infinity - +infinity)
Conditional
Same
Y=10

8. What is a range?
The second set of components of an ordered pair
As equations
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

9. x=no real numbers is what type of an equation?
A line passing through two distinct points
Neither
The minimum or maximum points
Inconsistant

10. What is the vertical line formula?
Identity
Cannot be drawn in quizlet
X=a
(-infinity - +infinity)

11. 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?
Postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet

12. What can we substitute for f(x)?
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
Y
X^2

13. What is the domain for an absolute value function?
(-infinity - +infinity)
C>1 - horizontal shrinking
F(x^1)=f(x^2)
Piecewise

14. Of the seven of algebra's common graph's how many are neither?
Y=10
Square Root
Function notation
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

15. What does the absolute value function look like?
Perpendicular line
Mirror image neg quadrant to that of the positive quandrant
A V
The single number y=

16. What is another way of writing the absolute value function?
Undefined
Identity
Y=IxI
F(x)=IxI

17. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Even
The secant line
Y=x - identity function

18. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(-infinity - +infinity)
F(x) = x
Line ascending to the right gradually

19. What does the graph of the cube root function look like on the graph?
Horizontal right
Neither
The secant line
Approach neg toward x through zero and above positive close to x

20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F(x)=suare root of x
Inconsitent
The minimum or maximum points

21. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=+c and f(x)-c

22. What is the domain of an identity function?
The opposite coordinates
A V
X=a
(-infinity - +infinity)

23. What is an identity function?
When does a graph not define y as a function of x?
45 degree angle
[0 -+infinity)
Undefined

24. What type of line is a constant function?
Horizontal
Neither
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

25. What is a constant function?
F(x^1)=f(x^2)
Yes - all the domains points to one range
Three odd - cube root - identity - standard cubic
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

26. What does the absolute value function look like?
Square Root
A V
Neither
F(x)=suare root of x

27. What is the domain of a square root function?
A V
Horizontal
[0 -+infinity)
Neither

28. What is the formula for an absolute value function?
Y= then enter the number then press graph
A line passing through two distinct points
F(x)=IxI
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

29. What are the steps for solving a word problem?
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
Neither
Y= then enter the number then press graph
Horizontal

30. What is the domain for an absolute value function?
(-infinity - +infinity)
Y=IxI
4 -6 -9
F(x)=x^3

31. What is slope?
F(x2)-f(x1) / x2-x1
Equation of a line
A line passing through two distinct points
1 -2 -3

32. What is the domain of the cube root function?
(-infinity - +infinity)
Y=x - identity function
F(x)=+c and f(x)-c
X is the hours to repair the boat. $1603-532=anwser/63 = x

33. What does the average rate of change formula solve?
The slope of a line containing two points
A line passing through two distinct points
Function notation
Y=x - identity function

34. How do you graph Ax+By+C=0?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=10
Set the x and y to zero and get the intercepts and then plot the points
The secant line

35. What is the formula for an identity function?
Conditional
Odd
F(x) = x
(-infinity - +infinity)

36. What equation does every line have? Discuss the variables.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-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.
F(x)=suare root of x

37. What is the vertex?
45 degree angle
[0 -+infinity)
The minimum or maximum points
20+.05x=5+.10x x=minutes

38. What is the formula for the square root function?
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(x)=suare root of x
As equations
Negative inverse

39. What is the slope intercept formula? Define all the variables.
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

40. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1
F of g and g of f

41. What type of slope do you have when the line is horizontal and m=0?
Down
Zero slope
F(x2)-f(x1) / x2-x1
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. What is the range of an identity function?
(-infinity - +infinity)
Same
C>1 - horizontal shrinking
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

43. standard absolute value - vertical shift formulas for positve and negative
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
F(x)=+c and f(x)-c

44. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
Perpendicular line
Y=x - identity function
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

45. What are the algebra of functions?
Postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
Negative inverse

46. 4(x-7)=4x-28 is what type of an equation?
Odd
Identity
No because you cannot have one domain pointing at two y's or ranges
The first set of components of an ordered pair

47. What is the slope of a perpendicular line?
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

48. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Up
Three odd - cube root - identity - standard cubic

49. 4(x-7)=4x+28 is what type of an equation?
The secant line
Y=x^2 - graph
Inconsitent
2nd key - x^2 - graph

50. $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
[0 -+infinity)
Piecewise
Inconsitent