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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 range of the cube root 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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
(-infinity - +infinity)

2. What does linear equation mean?
Y=10
Even
Even
Equation of a line

3. What does the absolute value function look like?
Odd
A V
Odd
0<c<1 - horizontal stretching

4. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Cannot be drawn in quizlet
[0 -+infinity)
Yes - all the domains points to one range
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

5. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Yes - all the domains points to one range
Piecewise
F(x+c) and f(x-c)

6. What is the formula for the cube root function?
F(x)=3 square root x
45 degree angle
X^2
Cannot be drawn in quizlet

7. What is slope?
C>1 - horizontal shrinking
Y=b
A line passing through two distinct points
Same

8. What type of slope do you have when a line rises from left to right and m>0?
The slope of a line containing two points
(-infinity - +infinity)
The second set of components of an ordered pair
Postiive slope

9. What is the range for the standard cubic function?
Identity
(-infinity - +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
Any set of ordered pairs

10. What are the steps for solving a word problem?
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
As equations
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

11. What is the domain for a standard quadratic 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)=+c and f(x)-c
F(x)=suare root of x
(-infinity - +infinity)

12. What type of function would you use to calculate the most advantageous cell phone plan?
The minimum or maximum points
F(x)=3 square root x
Yes - all the domains points to one range
Piecewise

13. What is the slope intercept formula? Define all the variables.
A line passing through two distinct points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As many as you like
Odd

14. What direction does f(x)-c move in standard absolute value formula?
Line ascending to the right gradually
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.
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
Down

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

16. Which direction does f(x+c) move
Cannot be drawn in quizlet
Cannot be drawn in quizlet
Postiive slope
Horizontal left

17. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Horizontal
The slope of a line containing two points
Y=10

18. Of the seven of algebra's common graph's how many are even?
4 -6 -9
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
The opposite coordinates

19. What is the domain and range of a constant function?
In a quotient
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
(-infinity - +infinity)

20. A flat line underlining one vertical line is a symbol for...
[0 -+infinity)
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
Perpendicular line
C>1 - horizontal shrinking

21. What is another way of writing the absolute value function?
45 degree angle
Y=IxI
Horizontal right
Parabola

22. 4(x-7)=4x+28 is what type of an equation?
Even
X = the original sale price and the formula is x - .40x =$276
Inconsitent
Identity

23. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal right
Horizontal left
Horizontal

24. What is the letter used to represent slope?
45 degree angle
(-infinity - +infinity)
M
Negative slope

25. In an identity function if f(10)=x than What is y?
Y=10
A V
The minimum or maximum points
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.

26. What are the calculator instructions for the standard cubic function?
Approach neg toward x through zero and above positive close to x
F(x^1)=f(x^2)
X=a
X math 3 graph

27. 4x+5x=8x is what type of an equation?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent
Because the demintor of a quotient can never equal zero

28. What direction does f(x)-c move in standard absolute value formula?
Y=b
Horizontal
Down
F(x)=+c and f(x)-c

29. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
X^2
Y= then enter the number then press graph
(f+g) - (f-g) - (fg) - (f/g) all of x

30. y=f(cx) - What does this formula represent?
Cannot be drawn in quizlet
Odd
Line ascending to the right gradually
C>1 - horizontal shrinking

31. What are the calculator instructions for the cube root function?
Y=x^2 - graph
Even
Cannot be drawn in quizlet
Math 4 x - graph

32. What type of line is a constant function?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Piecewise
Horizontal

33. What is the formula for an identity function?
Parraelle line
Three odd - cube root - identity - standard cubic
F(x) = x
Y=10

34. What are two examples of composit functions?
(-infinity - +infinity)
X math 3 graph
F of g and g of f
Piecewise

35. 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
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 -2 -3
Negative inverse

36. How do you graph Ax+By+C=0?
45 degree angle
Y
Set the x and y to zero and get the intercepts and then plot the points
F(x)=x^3

37. What is the domain for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
M
Square Root
(-infinity - +infinity)

38. When is the only time (-infinity - +infinity) is not the domain?
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
In a quotient
The second set of components of an ordered pair

39. 4(x-7)=4x+28 is what type of an equation?
F(x2)-f(x1) / x2-x1
Inconsitent
As equations
Up

40. What is a constant function?
(-infinity - +infinity)
Any set of ordered pairs
(-infinity - +infinity)
F(x^1)=f(x^2)

41. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
45 degree angle
F(x)=IxI
The secant line

42. 4(x-7)=4x-28 is what type of an equation?
Identity
Function notation
Any set of ordered pairs
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

43. Is a standard quadratic function even - odd or neither?
Even
A line passing through two distinct points
Zero slope
No because you cannot have one domain pointing at two y's or ranges

44. What is the vertex?
F(x2)-f(x1) / x2-x1
The first set of components of an ordered pair
The minimum or maximum points
(-infinity - +infinity)

45. Of the seven of algebra's common graph's how many are neither?
Undefined slope
Approach neg toward x through zero and above positive close to x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Square Root

46. What equation does every line have? Discuss the variables.
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
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant
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.

47. What are the calculator instructions for a square root function?
(-infinity - +infinity)
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.
No because you cannot have one domain pointing at two y's or ranges
2nd key - x^2 - graph

48. What is the domain of a square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)
1 -2 -3
F(x)=+c and f(x)-c

49. What is the range for a standard quadratic function?
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)
As many as you like
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. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Same
Function notation
X = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking