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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. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle

2. What is another way of writing the absolute value function?
(-infinity - +infinity)
Even
Y=IxI
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

3. What is the formula for an absolute value function?
Negative slope
F(x)=IxI
F(x)=+c and f(x)-c
[0 -+infinity)

4. x= a real number is what type of equation?
Y=x - identity function
(-infinity - +infinity)
A line passing through two distinct points
Conditional

5. What does the absolute value function look like?
0<c<1 - horizontal stretching
A V
F(x)=x^3
Three odd - cube root - identity - standard cubic

6. What is the range of an identity function?
C>1 - horizontal shrinking
Yes - all the domains points to one range
Conditional
(-infinity - +infinity)

7. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X = the original sale price and the formula is x - .40x =$276
The slope of a line containing two points

8. What are the algebra of functions?
Because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
X = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph

9. Draw or discuss a constant function
X=a
F(x)=x^3
(-infinity - +infinity)
Cannot be drawn in quizlet

10. What is the range of a square root function?
F(x)=3 square root x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
Y

11. What is the domain and range of a constant function?
The minimum or maximum points
4 -6 -9
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

12. Which direction does f(x+c) move
Horizontal left
A V
[0 -+infinity)
F(x)=suare root of x

13. Two vertical lines side by side are a symbol for what
Parraelle line
F(x)=+c and f(x)-c
Any set of ordered pairs
(-infinity - +infinity)

14. What type of slope do you have when the line is horizontal and m=0?
Parabola - up one and right three
Line ascending to the right gradually
[0 -+infinity)
Zero slope

15. What is the formula for an absolute value function?
Same
Square Root
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x

16. Is the standard cubic function odd - even or neither?
Neither
Odd
Neither
Y=b

17. How are functions normally written?
Conditional
F(x+h)-f(x)/h h cannot equal zero
As equations
The first set of components of an ordered pair

18. x=no real numbers is what type of an equation?
Inconsistant
Y=b
Negative inverse
(f+g) - (f-g) - (fg) - (f/g) all of x

19. What are the calculator instructions for a standard quadratic equation?
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)
Three odd - cube root - identity - standard cubic
Y=x^2 - graph

20. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph

21. What is the domain of a square root function?
Only one
Set the x and y to zero and get the intercepts and then plot the points
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)

22. 4(x-7)=4x-28 is what type of an equation?
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
Y=b

23. What is a constant 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.
Horizontal left
M
F(x^1)=f(x^2)

24. What shape is the standard quadratic function?
[0 -+infinity)
Parabola
Identity
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

25. What is the formula for to calculate the difference of a quotient function?
X math 3 graph
4 -6 -9
F(x+h)-f(x)/h h cannot equal zero
The secant line

26. Is the standard cubic function odd - even or neither?
Negative slope
Identity
Horizontal right
Odd

27. What are the steps for solving a word problem?
Y=IxI
Square Root
Absolute Value - Constant and Standard Quadratic
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

28. What equation does every line have? Discuss the variables.
F of g and g of f
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.
F(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points

29. What is the slope intercept formula? Define all the variables.
F(x+c) and f(x-c)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

30. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
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
Horizontal right

31. What is the letter used to represent slope?
F(x^1)=f(x^2)
M
Cannot be drawn in quizlet
As equations

32. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Horizontal left
The secant line
F(x)=IxI

33. What is the range of a square root function?
Y=10
[0 -+infinity)
(-infinity - +infinity)
(-infinity - +infinity)

34. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
Y=x - identity function
As equations
[0 -+infinity)

35. Which direction does f(x-c) move
Because the demintor of a quotient can never equal zero
Parabola - up one and right three
No because you cannot have one domain pointing at two y's or ranges
Horizontal right

36. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Same
F(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

37. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Parraelle line
The slope of a line containing two points
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

38. 4x+5x=8x is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
X math 3 graph
(-infinity - +infinity)
Conditional

39. What is the point slope formula and when do you use it?
F(x)=suare root of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even
F(x+c) and f(x-c)

40. f(x) = x^2+3x+5 - what type of formula is this?
As equations
2nd key - x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function notation

41. What type of slope do you have when a line falls left to right and m<0?
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.
Negative slope
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.

42. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)
F(x+h)-f(x)/h h cannot equal zero
2nd key - x^2 - graph

43. What type of line is a constant function?
Only one
X=a
Horizontal
[0 -+infinity)

44. In an identity function if f(10)=x than What is y?
As many as you like
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

45. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
No because you cannot have one domain pointing at two y's or ranges
Negative slope
Y
Yes - all the domains points to one range

46. What is a relation?
Even
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs

47. What type of slope do vertical lines have?
(-infinity - +infinity)
Horizontal
Undefined
Y=b

48. How do you graph Ax+By+C=0?
Horizontal right
Y=x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points
F(x)=suare root of x

49. 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?
Equation of a line
Odd
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x

50. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9
Same
(-infinity - +infinity)