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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 is an identity function?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
Y=IxI

2. What is the vertical line test?
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?
X2-x1 because the demonaitor of a quotient can never equal zero
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

3. How many domains can you have pointing to one range?
Cannot be drawn in quizlet
As many as you like
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal

4. What points do you use to plot the inverse on a graph?
Even
Approach neg toward x through zero and above positive close to x
The minimum or maximum points
The opposite coordinates

5. What type of slope do vertical lines have?
X = the original sale price and the formula is x - .40x =$276
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
Undefined

6. 4(x-7)=4x+28 is what type of an equation?
Even
Inconsitent
(-infinity - +infinity)
2nd key - x^2 - graph

7. Of the seven of algebra's common graph's how many are neither?
Square Root
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal

8. 4x+5x=8x is what type of an equation?
Negative inverse
Conditional
Because the demintor of a quotient can never equal zero
Only one

9. standard absolute value - vertical shift formulas for positve and negative
20+.05x=5+.10x x=minutes
Absolute Value - Constant and Standard Quadratic
F(x)=+c and f(x)-c
1 -2 -3

10. 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
Line ascending to the right gradually
The single number y=
Approach neg toward x through zero and above positive close to x

11. What are two examples of composit functions?
Y= then enter the number then press graph
F of g and g of f
(-infinity - 0]you[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

12. What is the slope of a perpendicular line?
Negative inverse
(-infinity - +infinity)
Y=10
The secant line

13. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
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.

14. Which direction does f(x+c) move
Y=10
Horizontal left
0<c<1 - horizontal stretching
Y=b

15. What type of slope do horizontal lines have?
Postiive slope
Even
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
Same

16. What is another way to write f(x)=x - what type of function is this?
Conditional
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
Three odd - cube root - identity - standard cubic

17. What are the steps for solving a word problem?
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 -2 -3
F(x)=x^3
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

18. What does the average rate of change formula solve?
The slope of a line containing two points
Horizontal right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X is the hours to repair the boat. $1603-532=anwser/63 = x

19. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. Which direction does f(x)=+c move in standard absolute value formula?
45 degree angle
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
Up

21. What is the domain of a square root function?
F(x)=+c and f(x)-c
(-infinity - 0]you[0 - +infinity)
Odd
[0 -+infinity)

22. What is the range of a square root function?
[0 -+infinity)
F(x)=x^3
F(x)=3 square root x
Cannot be drawn in quizlet

23. 4(x-7)=4x+28 is what type of an equation?
F(x)=x^3
Y
The single number y=
Inconsitent

24. 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.
F(x+c) and f(x-c)
Horizontal
F(x) = x

25. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Parabola
Identity
20+.05x=5+.10x x=minutes

26. What does the square root function look like on a graph?
Conditional
Three odd - cube root - identity - standard cubic
Line ascending to the right gradually
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.

27. What is the domain of a square root function?
Conditional
[0 -+infinity)
Parabola - up one and right three
(-infinity - +infinity)

28. x=all real numbers is what type of an equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y

29. What is the domain and range of a constant function?
Y=IxI
Piecewise
Y=10
(-infinity - +infinity)

30. What is the horizontal line formula?
Only one
Inconsitent
Y=b
Because the demintor of a quotient can never equal zero

31. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Y=IxI
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

32. 4(x-7)=4x-28 is what type of an equation?
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
Cannot be drawn in quizlet
Identity
[0 -+infinity)

33. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Yes - all the domains points to one range
Conditional
Horizontal left

34. What are the four steps for solving a linear equation?
45 degree angle
F(x) = x
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.
Y=x^2 - graph

35. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Conditional
Postiive slope

36. What does linear equation mean?
Equation of a line
In a quotient
Y=IxI
No because you cannot have one domain pointing at two y's or ranges

37. 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
F(x)=x^3
F(x)=+c and f(x)-c
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

38. Draw or discuss a constant function
Postiive slope
Cannot be drawn in quizlet
Neither
The minimum or maximum points

39. What is the formula for an absolute value function?
Cannot be drawn in quizlet
Horizontal right
F(x)=IxI
C>1 - horizontal shrinking

40. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
[0 -+infinity)
F(x) = x
A line passing through two distinct points

41. 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?
Horizontal right
X=a
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x

42. How would this formula move f(x)=(x+1)^2-3
Y=x - identity function
The first set of components of an ordered pair
Parabola - up one and right three
When does a graph not define y as a function of x?

43. What is another way of writing the absolute value function?
X math 3 graph
Y=IxI
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. What is the formula for the square root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=suare root of x
The slope of a line containing two points
Only one

45. $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?
(-infinity - +infinity)
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.
When does a graph not define y as a function of x?
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

46. What is the letter used to represent slope?
M
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.
Square Root
Zero slope

47. Is the square root function odd - even or neither?
Y=x - identity 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.
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither

48. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Inconsitent
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x) = x

49. How do you graph Ax+By+C=0?
Cannot be drawn in quizlet
Function notation
Set the x and y to zero and get the intercepts and then plot the points
No because you cannot have one domain pointing at two y's or ranges

50. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Parabola - up one and right three
Inconsistant
Inconsitent