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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 does linear equation mean?
Horizontal
Equation of a line
Y=x - identity function
Same

2. y=f(cx) What does this formula represent?
Horizontal left
45 degree angle
0<c<1 - horizontal stretching
Parraelle line

3. In an identity function if f(10)=x than What is y?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Square Root

4. What type of line is a constant function?
Any set of ordered pairs
No because you cannot have one domain pointing at two y's or ranges
F(x)=suare root of x
Horizontal

5. Is the standard cubic function odd - even or neither?
Odd
(-infinity - +infinity)
F(x) = x
Even

6. When is the only time (-infinity - +infinity) is not the domain?
F(x+c) and f(x-c)
In a quotient
As many as you like
Y=10

7. Two vertical lines side by side are a symbol for what
Horizontal
[0 -+infinity)
Parraelle line
No because you cannot have one domain pointing at two y's or ranges

8. What is the range of the constant function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As many as you like
The single number y=
Postiive slope

9. What are the four steps for solving a linear equation?
45 degree angle
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)
Zero slope

10. What type of slope do vertical lines have?
20+.05x=5+.10x x=minutes
When does a graph not define y as a function of x?
Undefined
Y=x - identity function

11. What is the domain for a standard quadratic function?
(-infinity - +infinity)
X^2
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

12. What type of slope do you have when the line is horizontal and m=0?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
Zero slope

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
As many as you like
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.
1 -2 -3
0<c<1 - horizontal stretching

14. What type of slope do you have when a line falls left to right and m<0?
Same
Negative slope
Set the x and y to zero and get the intercepts and then plot the points
Inconsistant

15. What is the range for an absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
Inconsistant
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

16. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
20+.05x=5+.10x x=minutes
Piecewise

17. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range
(-infinity - +infinity)
Yes because two x's or domains can point to one y

18. What does the absolute value function look like?
Inconsitent
A V
F(x)=suare root of x
Even

19. What type of slope do you have when m=? and the line is vertical?
Undefined slope
2nd key - x^2 - graph
F(x2)-f(x1) / x2-x1
Parabola

20. What is the letter used to represent slope?
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.
Because the demintor of a quotient can never equal zero
M
F(x+c) and f(x-c)

21. What is a constant function?
F(x^1)=f(x^2)
Postiive slope
20+.05x=5+.10x x=minutes
Y=IxI

22. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?

23. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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.
1 -2 -3
Inconsitent
Function notation

24. What is a relation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Yes because two x's or domains can point to one y
Any set of ordered pairs
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

25. What type of slope do you have when a line falls left to right and m<0?
20+.05x=5+.10x x=minutes
Negative slope
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
F(x+c) and f(x-c)

26. standard absolute value - horizontal shift formulas for left and right
F(x) = x
Odd
F(x)=x^3
F(x+c) and f(x-c)

27. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
X math 3 graph
Cannot be drawn in quizlet
0<c<1 - horizontal stretching

28. What is an identity function?
As many as you like
45 degree angle
X=a
Negative slope

29. Of the seven of algebra's common graph's how many are even?
Horizontal
F(x)=+c and f(x)-c
Y=IxI
Absolute Value - Constant and Standard Quadratic

30. What are the calculator instructions for the cube root function?
Approach neg toward x through zero and above positive close to x
Math 4 x - graph
F(x)=x^3
(-infinity - 0]you[0 - +infinity)

31. What is the range of a square root function?
Y
F(x2)-f(x1) / x2-x1
Parabola - up one and right three
[0 -+infinity)

32. How do you calculate a constant function in your calculator?
X = the original sale price and the formula is x - .40x =$276
Y= then enter the number then press graph
Even
Parraelle line

33. What does the average rate of change formula solve?
The slope of a line containing two points
X is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
Horizontal

34. x= a real number is what type of equation?
Conditional
Perpendicular line
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x2)-f(x1) / x2-x1

35. What does the absolute value function look 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
As equations
Absolute Value - Constant and Standard Quadratic
A V

36. Is an absolute value function even - odd or neither?
The slope of a line containing two points
F(x)=IxI
Even
Horizontal left

37. Is the square root function odd - even or neither?
2nd key - x^2 - graph
(-infinity - +infinity)
Neither
In a quotient

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

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39. What is the average rate of change formula?
Parabola - up one and right three
F(x2)-f(x1) / x2-x1
Postiive slope
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

40. y=f(cx) - What does this formula represent?
Yes because two x's or domains can point to one y
C>1 - horizontal shrinking
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.
Equation of a line

41. A flat line underlining one vertical line is a symbol for...
As equations
Perpendicular line
(-infinity - +infinity)
(-infinity - +infinity)

42. What is the domain of a square root function?
Y=x - identity function
Identity
X math 3 graph
[0 -+infinity)

43. How many ranges can you have for each domain?
Even
Only one
Y=x^2 - graph
Y

44. 4x+5x=8x is what type of an equation?
Same
Conditional
The single number y=
4 -6 -9

45. What can never equal zero in the slope formula and why?
Square Root
F(x)=x^3
Square Root
X2-x1 because the demonaitor of a quotient can never equal zero

46. What is an identity function?
Approach neg toward x through zero and above positive close to x
45 degree angle
Up
Set the x and y to zero and get the intercepts and then plot the points

47. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Undefined slope
Up
Even

48. What is the vertical line formula?
X=a
A line passing through two distinct points
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair

49. Is a standard quadratic function even - odd or neither?
Even
Cannot be drawn in quizlet
F of g and g of f
F(x)=IxI

50. What is the vertical line test?
Inconsitent
F(x)=3 square root x
Parabola - up one and right three
When does a graph not define y as a function of x?