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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 line is an identity function?
Even
Parabola - up one and right three
The first set of components of an ordered pair
45 degree angle

2. Which direction does f(x-c) move
Horizontal right
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined slope

3. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function notation

4. What does the square root function look like on a graph?
F(x^1)=f(x^2)
Line ascending to the right gradually
Cannot be drawn in quizlet
2nd key - x^2 - graph

5. Why can h not equal zero in the difference of a quotient function formula?
The minimum or maximum points
Math 4 x - graph
Because the demintor of a quotient can never equal zero
Inconsitent

6. What is the domain of the cube root function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
F(x^1)=f(x^2)
Horizontal

7. What does the absolute value function look like?
Line ascending to the right gradually
A V
(-infinity - +infinity)
F(x) = x

8. What shape is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
Parabola
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

9. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
X = the original sale price and the formula is x - .40x =$276
M
Horizontal right

10. Draw or discuss an increasing function
[0 -+infinity)
The single number y=
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet

11. How would this formula move f(x)=(x+1)^2-3
Three odd - cube root - identity - standard cubic
Even
2nd key - x^2 - graph
Parabola - up one and right three

12. x=all real numbers is what type of an equation?
Conditional
20+.05x=5+.10x x=minutes
Identity
The second set of components of an ordered pair

13. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Math 4 x - graph
The second set of components of an ordered pair

14. 4(x-7)=4x-28 is what type of an equation?
Parabola
Y=10
Piecewise
Identity

15. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Identity
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

16. What does the average rate of change formula solve?
The slope of a line containing two points
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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

17. What is the domain of the cube root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Undefined
Even

18. $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?
F(x)=suare root 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
Horizontal
[0 -+infinity)

19. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
F(x)=x^3
1 -2 -3
Y=x^2 - graph

20. What is the domain of a square root function?
[0 -+infinity)
Same
F(x)=3 square root x
Parraelle line

21. What can never equal zero in the slope formula and why?
X = the original sale price and the formula is x - .40x =$276
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Even

22. What type of slope do vertical lines have?
Negative slope
Undefined
As equations
The second set of components of an ordered pair

23. What can we substitute for f(x)?
Because the demintor of a quotient can never equal zero
0<c<1 - horizontal stretching
Any set of ordered pairs
Y

24. What are the four steps for finding the inverse of a function?
The second set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line
The secant line

25. What does the standard cubic function look like on a graph?
Even
Undefined
Piecewise
Mirror image neg quadrant to that of the positive quandrant

26. What is the range for a standard quadratic function?
F(x+c) and f(x-c)
Yes - all the domains points to one range
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

27. 4(x-7)=4x+28 is what type of an equation?
No because you cannot have one domain pointing at two y's or ranges
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even

28. What is the vertical line formula?
Undefined
(-infinity - +infinity)
X=a
X^2

29. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
Same
C>1 - horizontal shrinking
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.

30. What is the letter used to represent slope?
(-infinity - +infinity)
Only one
F of g and g of f
M

31. What is the range for an absolute value function?
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
1 -2 -3
C>1 - horizontal shrinking

32. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Y=x^2 - graph
Identity
Parraelle line

33. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
C>1 - horizontal shrinking
2nd key - x^2 - graph
Perpendicular line

34. x=no real numbers is what type of an equation?
Inconsistant
Horizontal right
Any set of ordered pairs
Equation of a line

35. What is the point slope formula and when do you use it?
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x
As equations
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

36. How do you graph Ax+By+C=0?
Equation of a line
X is the hours to repair the boat. $1603-532=anwser/63 = x
Set the x and y to zero and get the intercepts and then plot the points
Undefined slope

37. What is the formula for an absolute value function?
Square Root
F(x) = x
The first set of components of an ordered pair
F(x)=IxI

38. How do you calculate a constant function in your calculator?
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
Y=10
Y= then enter the number then press graph

39. What does linear equation mean?
0<c<1 - horizontal stretching
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x
Because the demintor of a quotient can never equal zero

40. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Y= then enter the number then press graph
X = the original sale price and the formula is x - .40x =$276
Identity
Postiive slope

41. What is the formula in both horizontal stretching and horizontal shrinking?
Undefined
A V
2nd key - x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

42. What is the domain of a square root function?
Negative slope
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
(-infinity - +infinity)

43. Which direction does f(x+c) move
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
(-infinity - +infinity)
Horizontal left
Horizontal

44. What type of line is a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal
A line passing through two distinct points
The opposite coordinates

45. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Neither
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative slope
(-infinity - +infinity)

46. Why can h not equal zero in the difference of a quotient function formula?
M
Even
Because the demintor of a quotient can never equal zero
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

47. A flat line underlining one vertical line is a symbol for...
Negative slope
The minimum or maximum points
A V
Perpendicular line

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Parabola
Undefined slope
Yes - all the domains points to one range
(-infinity - +infinity)

49. What is the vertical line test?
1 -2 -3
When does a graph not define y as a function of x?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)

50. Is an absolute value function even - odd or neither?
4 -6 -9
Even
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph