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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 points do you use to plot the inverse on a graph?
(-infinity - +infinity)
Y
X math 3 graph
The opposite coordinates

2. What is the range of a square root function?
Y=x - identity function
[0 -+infinity)
(-infinity - +infinity)
1 -2 -3

3. 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
The slope of a line containing two points
F(x^1)=f(x^2)
Conditional

4. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20+.05x=5+.10x x=minutes
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.

5. Draw or discuss an increasing function
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet

6. What is the range of the cube root function?
(-infinity - +infinity)
Y
Function notation
F(x) = x

7. Is an identity function even - odd or neither?
Odd
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
Only one
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

8. What is the formula for the square root function?
F(x)=suare root of x
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
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

9. Is the square root function odd - even or neither?
Neither
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative inverse

10. 4x+5x=8x is what type of an equation?
F(x)=IxI
(-infinity - +infinity)
Odd
Conditional

11. What is the domain of an identity function?
Only one
Parabola
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

12. What is the horizontal line formula?
Inconsistant
Y=10
Y=b
2nd key - x^2 - graph

13. What are the four steps for finding the inverse of a function?
Horizontal
Even
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

14. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
Same
(-infinity - 0]you[0 - +infinity)

15. What is another way of writing the absolute value function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=IxI

16. What is the formula for the standard cubic function?
F(x)=x^3
Odd
Down
Only one

17. What are the calculator instructions for the cube root function?
No because you cannot have one domain pointing at two y's or ranges
X2-x1 because the demonaitor of a quotient can never equal zero
Math 4 x - graph
Y=x^2 - graph

18. What are the algebra of functions?
Identity
Yes because two x's or domains can point to one y
F(x)=3 square root x
(f+g) - (f-g) - (fg) - (f/g) all of x

19. What does the absolute value function look like?
Parabola
A V
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x

20. What is the point slope formula and when do you use it?
Inconsitent
Square Root
F(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

21. Draw or discuss a decreasing 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
Undefined slope
Cannot be drawn in quizlet
Y

22. Draw or discuss a decreasing function
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Cannot be drawn in quizlet

23. What does the absolute value function look like?
A V
The first set of components of an ordered pair
Even
Parabola - up one and right three

24. Of the seven of algebra's common graph's how many are even?
F of g and g of f
Line ascending to the right gradually
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

25. In an identity function if f(10)=x than What is y?
(f+g) - (f-g) - (fg) - (f/g) all of x
Up
Y=10
A V

26. 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?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x
As equations

27. $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
Horizontal left
C>1 - horizontal shrinking
(-infinity - +infinity)

28. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Negative slope
The secant line
X = the original sale price and the formula is x - .40x =$276
F(x)=IxI

29. What is the domain for the standard cubic function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
X=a
2nd catalog (zero key -) abs(x) - graph

30. What is the slope intercept formula? Define all the variables.
F of g and g of f
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Square Root

31. x= a real number is what type of equation?
The minimum or maximum points
(-infinity - +infinity)
F(x)=IxI
Conditional

32. 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
Postiive slope
Absolute Value - Constant and Standard Quadratic
M

33. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
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
Math 4 x - graph
F(x+h)-f(x)/h h cannot equal zero

34. x=all real numbers is what type of an equation?
Zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal
Identity

35. y=f(cx) - What does this formula represent?
Down
C>1 - horizontal shrinking
4 -6 -9
Y

36. What is the range for the standard cubic function?
F(x)=+c and f(x)-c
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal
(-infinity - +infinity)

37. y=f(cx) What does this formula represent?
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
0<c<1 - horizontal stretching

38. What are the calculator instructions for absolute value?
Approach neg toward x through zero and above positive close to x
[0 -+infinity)
Even
2nd catalog (zero key -) abs(x) - graph

39. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
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 = the original sale price and the formula is x - .40x =$276
F(x2)-f(x1) / x2-x1

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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.
Yes because two x's or domains can point to one y
The secant line
Odd

41. How many ranges can you have for each domain?
(-infinity - +infinity)
Zero slope
Function notation
Only one

42. What shape is the standard quadratic function?
Parabola
Y=10
Identity
Horizontal

43. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=IxI
1 -2 -3
Same

44. What does the square root function look like on a graph?
Identity
Odd
45 degree angle
Line ascending to the right gradually

45. What is the formula for the square root function?
X math 3 graph
F(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
Y

46. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Perpendicular line
C>1 - horizontal shrinking
The second set of components of an ordered pair

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

48. 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)=x^3
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

49. Draw or discuss a constant function
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
(-infinity - +infinity)
Same

50. What is a range?
X=a
The second set of components of an ordered pair
Y
F(x+c) and f(x-c)