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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 the domain for an absolute value function?
Neither
Horizontal left
(-infinity - +infinity)
Negative inverse

2. What is the range of the cube root function?
(-infinity - +infinity)
Conditional
The first set of components of an ordered pair
Negative inverse

3. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
20+.05x=5+.10x x=minutes

4. What are two examples of composit functions?
(-infinity - +infinity)
Negative slope
F of g and g of f
F(x)=3 square root x

5. x=all real numbers is what type of an equation?
M
Horizontal
Identity
Cannot be drawn in quizlet

6. y=f(cx) - What does this formula represent?
Undefined slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph

7. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - 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.
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<c<1 - horizontal stretching

8. What is slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
4 -6 -9
(-infinity - +infinity)
A line passing through two distinct points

9. What is the domain of an identity function?
Mirror image neg quadrant to that of the positive quandrant
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.
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

10. What is the formula for the standard cubic function?
M
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)
F(x)=x^3

11. What is the range of the constant function?
The single number y=
Inconsistant
Absolute Value - Constant and Standard Quadratic
Neither

12. Is an absolute value function even - odd or neither?
Even
Neither
The secant line
Cannot be drawn in quizlet

13. What are the calculator instructions for the standard cubic function?
F(x)=suare root of x
M
X math 3 graph
Function notation

14. What type of line is a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
X math 3 graph
Y=x - identity function
Horizontal

15. y=f(cx) What does this formula represent?
As equations
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x

16. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
Y
Identity

17. 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
As equations
Perpendicular line
Undefined slope

18. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x
X^2
X=a

19. What is a range?
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
(-infinity - 0]you[0 - +infinity)
Piecewise
The second set of components of an ordered pair

20. Is an absolute value function even - odd or neither?
[0 -+infinity)
Even
Inconsitent
1 -2 -3

21. 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
As equations
The slope of a line containing two points
Same

22. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Inconsistant
Odd
Approach neg toward x through zero and above positive close to x

23. Is the standard cubic function odd - even or neither?
Odd
Yes because two x's or domains can point to one y
The single number y=
No because you cannot have one domain pointing at two y's or ranges

24. What is a function?
Horizontal
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

25. Is an identity function even - odd or neither?
Identity
(-infinity - +infinity)
Odd
Y

26. What is the horizontal line formula?
2nd catalog (zero key -) abs(x) - graph
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
Y=b
F(x^1)=f(x^2)

27. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Zero slope
Horizontal left
F(x)=IxI

28. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Piecewise

29. What is the range of an identity function?
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.
M
(-infinity - +infinity)
Equation of a line

30. What are the calculator instructions for the cube root function?
Even
Neither
(-infinity - +infinity)
Math 4 x - graph

31. Draw or discuss an increasing 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
F(x)=+c and f(x)-c
F(x)=3 square root x
Cannot be drawn in quizlet

32. How many ranges can you have for each domain?
Only one
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
Math 4 x - graph

33. Why can h not equal zero in the difference of a quotient function formula?
Y=IxI
A line passing through two distinct points
Yes because two x's or domains can point to one y
Because the demintor of a quotient can never equal zero

34. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x - identity function
Y=10

35. x=all real numbers is what type of an equation?
Postiive slope
Horizontal right
Identity
Set the x and y to zero and get the intercepts and then plot the points

36. What is the formula for to calculate the difference of a quotient function?
F(x2)-f(x1) / x2-x1
Parabola - up one and right three
F(x+h)-f(x)/h h cannot equal zero
Y=10

37. What is the formula for the cube root function?
As equations
F(x)=3 square root x
F(x)=IxI
Yes - all the domains points to one range

38. What is the letter used to represent slope?
X^2
(-infinity - +infinity)
M
F(x+c) and f(x-c)

39. What is the domain for an absolute value function?
(-infinity - +infinity)
Horizontal left
Down
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

40. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

41. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x)=IxI
F(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. What is the slope intercept formula? Define all the variables.
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
Odd

43. What is the formula in both horizontal stretching and horizontal shrinking?
Y=10
Y=x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

44. What is the point slope formula and when do you use it?
Even
4 -6 -9
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

45. Is the square root function odd - even or neither?
X is the hours to repair the boat. $1603-532=anwser/63 = x
A V
Neither
Identity

46. What points do you use to plot the inverse on a graph?
X math 3 graph
Horizontal left
The opposite coordinates
Inconsitent

47. What is the letter used to represent slope?
F(x)=x^3
2nd catalog (zero key -) abs(x) - graph
Math 4 x - graph
M

48. What is the formula for the square root function?
Postiive slope
F(x)=suare root of x
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x

49. What is the domain for the standard cubic 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
Y=x^2 - graph
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)

50. What type of line is a constant function?
Horizontal
Line ascending to the right gradually
Y= then enter the number then press graph
X is the hours to repair the boat. $1603-532=anwser/63 = x