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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. x=all real numbers is what type of an equation?
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola - up one and right three
Down

2. What is the formula for the standard cubic function?
Set the x and y to zero and get the intercepts and then plot the points
Because the demintor of a quotient can never equal zero
F(x)=x^3
Cannot be drawn in quizlet

3. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
A V
Because the demintor of a quotient can never equal zero

4. What is the formula for to calculate the difference of a quotient function?
A V
Even
F(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x

5. What is a domain?
Line ascending to the right gradually
(-infinity - +infinity)
Horizontal
The first set of components of an ordered pair

6. y=f(cx) - What does this formula represent?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
C>1 - horizontal shrinking
Identity

7. What are the steps for solving a word problem?
Undefined slope
The slope of a line containing two points
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
The secant line

8. What is the domain of an identity function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
A line passing through two distinct points
Cannot be drawn in quizlet

9. What are the four steps for finding the inverse of a function?
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity
F(x) = x

10. What equation does every line have? Discuss the variables.
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) = x
Y=IxI
Math 4 x - graph

11. What is an identity function?
45 degree angle
Identity
Negative slope
A line passing through two distinct points

12. What is the standard quadratic function?
X^2
When does a graph not define y as a function of x?
Only one
(-infinity - 0]you[0 - +infinity)

13. What is the slope of a perpendicular line?
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points
20+.05x=5+.10x x=minutes
Negative inverse

14. standard absolute value - horizontal shift formulas for left and right
Identity
Negative inverse
Cannot be drawn in quizlet
F(x+c) and f(x-c)

15. How many domains can you have pointing to one range?
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
As many as you like
The opposite coordinates

16. What are the calculator instructions for the cube root function?
Math 4 x - graph
Cannot be drawn in quizlet
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276

17. 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?
Math 4 x - graph
The minimum or maximum points
X is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic

18. Which direction does f(x+c) move
Cannot be drawn in quizlet
Horizontal left
X=a
X2-x1 because the demonaitor of a quotient can never equal zero

19. What is the formula for the cube root function?
Perpendicular line
F(x)=3 square root x
Zero slope
2nd catalog (zero key -) abs(x) - graph

20. What is the average rate of change formula?
The slope of a line containing two points
F(x2)-f(x1) / x2-x1
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
1 -2 -3

21. What type of slope do vertical lines have?
Undefined
F(x+c) and f(x-c)
Same
Undefined slope

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

23. What are the steps for solving a word problem?
The minimum or maximum points
F(x)=suare root of x
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
F(x)=+c and f(x)-c

24. What are the calculator instructions for the standard cubic function?
As equations
X math 3 graph
Any set of ordered pairs
Cannot be drawn in quizlet

25. Draw or discuss a decreasing function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)

26. y=f(cx) - What does this formula represent?
F(x^1)=f(x^2)
C>1 - 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
Square Root

27. What is the slope intercept formula? Define all the variables.
Cannot be drawn in quizlet
Any set of ordered pairs
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

28. Is an identity function even - odd or neither?
X=a
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even

29. x= a real number is what type of 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.
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Conditional

30. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
F(x)=x^3
Line ascending to the right gradually
As equations

31. How do you calculate a constant function in your calculator?
C>1 - horizontal shrinking
Y= then enter the number then press graph
(-infinity - +infinity)
(-infinity - +infinity)

32. What is the domain for the standard cubic function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Conditional
Square Root

33. What is a constant function?
F(x^1)=f(x^2)
Identity
Horizontal right
F(x) = x

34. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Square Root
Horizontal
Conditional

35. What is an identity function?
45 degree angle
The single number y=
(-infinity - +infinity)
(-infinity - +infinity)

36. What is the point slope formula and when do you use it?
M
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
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

37. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
As equations
Horizontal
Even

38. What shape is the standard quadratic function?
F(x)=3 square root x
Y= then enter the number then press graph
(-infinity - +infinity)
Parabola

39. What is slope?
[0 -+infinity)
A line passing through two distinct points
Function notation
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.

40. In an identity function if f(10)=x than What is y?
Y=b
0<c<1 - horizontal stretching
(-infinity - +infinity)
Y=10

41. What does the square root function look like on a graph?
Negative slope
Line ascending to the right gradually
X = the original sale price and the formula is x - .40x =$276
Even

42. A flat line underlining one vertical line is a symbol for...
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
Perpendicular line
1 -2 -3
Postiive slope

43. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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^1)=f(x^2)
Parabola - up one and right three
4 -6 -9

44. What is a function?
Y=IxI
F(x2)-f(x1) / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
0<c<1 - horizontal stretching

45. Is an absolute value function even - odd or neither?
Up
The first set of components of an ordered pair
Even
F(x)=IxI

46. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Function notation
Even

47. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd
Identity

48. What is the range of an identity function?
X = the original sale price and the formula is x - .40x =$276
45 degree angle
F(x^1)=f(x^2)
(-infinity - +infinity)

49. Which direction does f(x)=+c move in standard absolute value formula?
Parabola - up one and right three
Function notation
Undefined
Up

50. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph