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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 20 minutes. 2 minutes extra for reading the instructions.
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 letter used to represent slope?
Equation of a line
M
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
Parraelle line

2. Is an identity function even - odd or neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Odd
[0 -+infinity)
Equation of a line

3. How many domains can you have pointing to one range?
45 degree angle
As many as you like
F(x)=x^3
Undefined slope

4. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
45 degree angle
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

5. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+c) and f(x-c)
Cannot be drawn in quizlet

6. Which direction does f(x)=+c move in standard absolute value formula?
Parabola
Up
Equation of a line
Odd

7. What is a domain?
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
Identity
The first set of components of an ordered pair

8. 4x+5x=8x is what type of an equation?
Conditional
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=3 square root x

9. How many ranges can you have for each domain?
Only one
Perpendicular line
Absolute Value - Constant and Standard Quadratic
F(x)=x^3

10. What is the range of the cube root function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

11. x=all real numbers is what type of an equation?
Identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd
When does a graph not define y as a function of x?

12. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x

13. What direction does f(x)-c move in standard absolute value formula?
Cannot be drawn in quizlet
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
Down
Horizontal left

14. What are the four steps for solving a linear equation?
Line ascending to the right gradually
Y= then enter the number then press 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.
Inconsitent

15. What is the formula for an identity function?
F(x) = x
45 degree angle
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

16. 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.
Even
Down
F(x)=x^3

17. What is another way to write f(x)=x - what type of function is this?
Horizontal
Horizontal right
Y=x - identity function
(-infinity - +infinity)

18. What is the range of the cube root function?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Identity
The minimum or maximum points

19. In an identity function if f(10)=x than What is y?
Y=10
Math 4 x - graph
The opposite coordinates
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

20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
2nd key - x^2 - graph
Negative inverse

21. Draw or discuss a constant function
(-infinity - 0]you[0 - +infinity)
Horizontal
Postiive slope
Cannot be drawn in quizlet

22. What is the formula in both horizontal stretching and horizontal shrinking?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Any set of ordered pairs
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

23. What is slope?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
(-infinity - +infinity)
A line passing through two distinct points

24. What is the formula for the standard cubic function?
Up
F(x)=x^3
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276

25. What is the domain for an absolute value function?
Even
(-infinity - +infinity)
Any set of ordered pairs
Y= then enter the number then press graph

26. What is a range?
Horizontal left
Cannot be drawn in quizlet
Horizontal
The second set of components of an ordered pair

27. Is the square root function odd - even or neither?
2nd catalog (zero key -) abs(x) - graph
Identity
Neither
Cannot be drawn in quizlet

28. What is a relation?
F(x)=suare root of x
Odd
Any set of ordered pairs
Y=IxI

29. What is the range of the constant function?
As many as you like
Only one
Set the x and y to zero and get the intercepts and then plot the points
The single number y=

30. Which direction does f(x-c) move
Horizontal right
Identity
(-infinity - +infinity)
(-infinity - +infinity)

31. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y=x^2 - graph
4 -6 -9
Down
Yes - all the domains points to one range

32. What is the formula for the square root function?
F(x)=suare root of x
Y=b
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

33. Is the standard cubic function odd - even or neither?
Odd
Piecewise
Zero 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

34. What does the absolute value function look like?
Perpendicular line
A V
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function

35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Approach neg toward x through zero and above positive close to x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
X is the hours to repair the boat. $1603-532=anwser/63 = x

36. What is the range for an absolute value function?
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)
Because the demintor of a quotient can never equal zero
Y

37. Which direction does f(x+c) move
Zero slope
Y=10
Horizontal left
Parraelle line

38. What are the calculator instructions for the standard cubic function?
X math 3 graph
Undefined slope
Math 4 x - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

39. What is the domain of the cube root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Even
F(x) = x

40. What is the range for the standard cubic 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.
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
F of g and g of f

41. What is the range of an identity function?
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
Any set of ordered pairs
(-infinity - +infinity)
Negative slope

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

43. What is the domain for the standard cubic function?
Equation of a line
As equations
(-infinity - +infinity)
Equation of a line

44. What is a constant function?
X math 3 graph
F(x^1)=f(x^2)
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)

45. What are the calculator instructions for absolute value?
Because the demintor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph
Even
20+.05x=5+.10x x=minutes

46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Identity
Mirror image neg quadrant to that of the positive quandrant
4 -6 -9

47. What shape is the standard quadratic function?
No because you cannot have one domain pointing at two y's or ranges
0<c<1 - horizontal stretching
Parabola
F(x)=+c and f(x)-c

48. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Approach neg toward x through zero and above positive close to x
Negative slope
Zero slope
20+.05x=5+.10x x=minutes

49. Why can h not equal zero in the difference of a quotient function formula?
Identity
Y
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

50. 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)
X is the hours to repair the boat. $1603-532=anwser/63 = x
X=a
Zero slope