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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. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
The first set of components of an ordered pair
45 degree angle
0<c<1 - horizontal stretching

2. How would this formula move f(x)=(x+1)^2-3
Even
Parabola - up one and right three
Y=x - identity function
F of g and g of f

3. What is the vertical line formula?
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
X=a
Only one
Only one

4. What are the four steps for finding the inverse of a function?
45 degree angle
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional

5. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot 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

6. Is the square root function odd - even or neither?
4 -6 -9
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
Cannot be drawn in quizlet
Neither

7. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
2nd key - x^2 - graph
Cannot be drawn in quizlet
Even

8. What is the vertical line formula?
Same
Change in y / change in x = rise / run = y2-y1 / x2-x1
X=a
Horizontal left

9. What is the average rate of change formula?
The opposite coordinates
1 -2 -3
F(x2)-f(x1) / x2-x1
Y=IxI

10. Is an identity function even - odd or neither?
(-infinity - +infinity)
As equations
Odd
(-infinity - +infinity)

11. What is the horizontal line formula?
Equation of a line
Parabola - up one and right three
Zero slope
Y=b

12. What is the formula for the square root function?
F(x)=x^3
1 -2 -3
Up
F(x)=suare root of x

13. What is another way to write f(x)=x - what type of function is this?
Any set of ordered pairs
Y=x - identity function
Up
Y=10

14. What is the formula for the cube root function?
Identity
Y
F(x)=3 square root x
Negative inverse

15. Which direction does f(x+c) move
F(x+c) and f(x-c)
Horizontal left
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.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

16. What is the formula for the standard cubic function?
Y=b
Even
F(x)=x^3
2nd key - x^2 - graph

17. 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
(-infinity - +infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet

18. What are the calculator instructions for a standard quadratic equation?
Same
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph

19. What is a range?
F(x)=IxI
Even
Up
The second set of components of an ordered pair

20. What type of slope do vertical lines have?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Undefined
Mirror image neg quadrant to that of the positive quandrant

21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y=b
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)

22. What is the range of an identity function?
(-infinity - +infinity)
Horizontal
A V
A V

23. What equation does every line have? Discuss the variables.
(-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.
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet

24. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=suare root of x
M
Parraelle line

25. What is the domain for an absolute value function?
Yes - all the domains points to one range
Cannot be drawn in quizlet
(-infinity - +infinity)
Negative inverse

26. What is the formula for an identity function?
Up
F(x) = x
Odd
The minimum or maximum points

27. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Y=x - identity function
(-infinity - +infinity)
A line passing through two distinct points

28. What direction does f(x)-c move in standard absolute value formula?
Down
Inconsitent
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

29. What is the range for an absolute value function?
Postiive slope
(-infinity - 0]you[0 - +infinity)
Conditional
Identity

30. Is the square root function odd - even or neither?
The secant line
Because the demintor of a quotient can never equal zero
Neither
(-infinity - 0]you[0 - +infinity)

31. 4(x-7)=4x-28 is what type of an equation?
0<c<1 - horizontal stretching
Identity
Horizontal
(-infinity - 0]you[0 - +infinity)

32. Draw or discuss an increasing function
F(x)=3 square root x
(-infinity - +infinity)
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

33. What is the vertex?
Yes because two x's or domains can point to one y
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.
The minimum or maximum points
When does a graph not define y as a function of x?

34. What is the slope of a perpendicular line?
Negative inverse
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Odd

35. What is the vertex?
(-infinity - +infinity)
The minimum or maximum points
X2-x1 because the demonaitor of a quotient can never equal zero
In a quotient

36. What is the domain of a square root function?
[0 -+infinity)
(-infinity - +infinity)
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)

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Zero slope
(-infinity - +infinity)
As equations
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

38. Is the standard cubic function odd - even or neither?
Odd
Even
Parraelle line
Horizontal

39. x= a real number is what type of equation?
F of g and g of f
F(x)=IxI
Conditional
Negative inverse

40. y^2+x=4 is this a function? Why?

41. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
F(x)=x^3
Because the demintor of a quotient can never equal zero

42. What is the formula for slope?
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
The opposite coordinates
Odd

43. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic
X = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph

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

45. What are the four steps for finding the inverse of a function?
Identity
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
Equation of a line

46. 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.
Y=b
Parraelle line
Piecewise

47. What is a domain?
The first set of components of an ordered pair
[0 -+infinity)
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Same
1 -2 -3
Even
Undefined slope

49. $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?
Function notation
Cannot be drawn in quizlet
(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

50. When is the only time (-infinity - +infinity) is not the domain?
Math 4 x - graph
F(x+c) and f(x-c)
The minimum or maximum points
In a quotient