Test your basic knowledge |

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. Is a constant function even - odd or neither?
(-infinity - +infinity)
Postiive slope
A V
Even

2. Which direction does f(x+c) move
Piecewise
Equation of a line
Y=x^2 - graph
Horizontal left

3. What is the formula for an absolute value function?
F(x)=IxI
Up
The secant line
X = the original sale price and the formula is x - .40x =$276

4. What is the formula in both horizontal stretching and horizontal shrinking?
F(x+c) and f(x-c)
F(x) = x
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

5. What type of line is a constant function?
Negative inverse
(-infinity - +infinity)
Horizontal
Square Root

6. Is the square root function odd - even or neither?
Odd
F(x)=IxI
Neither
Because the demintor of a quotient can never equal zero

7. What is the vertical line formula?
X=a
Inconsitent
Approach neg toward x through zero and above positive close to x
Undefined slope

8. What is the domain for the standard cubic function?
F(x)=3 square root x
(-infinity - +infinity)
Cannot be drawn in quizlet
Neither

9. What does the square root function look like on a graph?
Equation of a line
Zero slope
F(x2)-f(x1) / x2-x1
Line ascending to the right gradually

10. 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.
Line ascending to the right gradually
The minimum or maximum points
0<c<1 - horizontal stretching

11. What is a constant function?
F(x^1)=f(x^2)
Because the demintor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x

12. In an identity function if f(10)=x than What is y?
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+g) - (f-g) - (fg) - (f/g) all of x
Y=10
F(x)=IxI

13. What are the calculator instructions for absolute value?
Equation of a line
2nd catalog (zero key -) abs(x) - graph
Odd
Cannot be drawn in quizlet

14. 4x+5x=8x is what type of an equation?
Up
(-infinity - +infinity)
Y=IxI
Conditional

15. What equation does every line have? Discuss the variables.
X=a
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 - +infinity)
Function notation

16. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
(-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.
Odd

17. What is another way to write f(x)=x - what type of function is this?
The single number y=
Y=x - identity function
As equations
As many as you like

18. What is the vertical line formula?
Even
X=a
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points

19. What are the four steps for solving a linear equation?
Parraelle line
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.
Parabola - up one and right three
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

20. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
F(x)=+c and f(x)-c
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

21. What are the calculator instructions for the standard cubic function?
Perpendicular line
Y=x^2 - graph
0<c<1 - horizontal stretching
X math 3 graph

22. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Down
The secant line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

23. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Undefined
F(x+h)-f(x)/h h cannot equal zero
The minimum or maximum points

24. What are the calculator instructions for the cube root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
Math 4 x - graph
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.

25. What does the absolute value function look like?
No because you cannot have one domain pointing at two y's or ranges
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
A V

26. What is the point slope formula and when do you use it?
Y= then enter the number then press graph
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola

27. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parabola - up one and right three
The opposite coordinates

28. What is the range of the cube root function?
Conditional
Equation of a line
(-infinity - +infinity)
C>1 - horizontal shrinking

29. What are the calculator instructions for the cube root function?
Math 4 x - graph
F(x) = x
In a quotient
C>1 - horizontal shrinking

30. How do you calculate a constant function in your calculator?
The second set of components of an ordered pair
[0 -+infinity)
Y= then enter the number then press graph
Inconsitent

31. What is the formula for slope?
Negative inverse
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity

32. What are the algebra of functions?
C>1 - horizontal shrinking
Math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points

33. Is an identity function even - odd or neither?
F(x+c) and f(x-c)
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.
Odd
Horizontal

34. What is the range for an absolute value function?
The single number y=
(-infinity - +infinity)
F(x) = x
(-infinity - 0]you[0 - +infinity)

35. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Negative 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.
4 -6 -9
Inconsitent

36. Is the square root function odd - even or neither?
No because you cannot have one domain pointing at two y's or ranges
Parraelle line
Neither
F(x)=x^3

37. What is another way of writing the absolute value function?
As equations
Y=IxI
F(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x

38. y=f(cx) What does this formula represent?
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Approach neg toward x through zero and above positive close to x
0<c<1 - horizontal stretching

39. What is the formula for to calculate the difference of a quotient function?
(-infinity - 0]you[0 - +infinity)
As many as you like
F(x)=3 square root x
F(x+h)-f(x)/h h cannot equal zero

40. What are the four steps for finding the inverse of a function?
Horizontal
Piecewise
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

41. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Perpendicular line
Because the demintor of a quotient can never equal zero
F(x)=suare root of x
20+.05x=5+.10x x=minutes

42. What is a range?
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
F of g and g of f
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

43. What is the letter used to represent slope?
M
The single number y=
Negative slope
Parabola

44. What does the standard cubic function look like on a graph?
Y=10
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.

45. 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?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal right
A line passing through two distinct points
X is the hours to repair the boat. $1603-532=anwser/63 = x

46. What is a range?
Down
The second set of components of an ordered pair
The secant line
Perpendicular line

47. What is the slope of a perpendicular line?
Negative inverse
Yes because two x's or domains can point to one y
Parabola
Only one

48. What is slope?
A line passing through two distinct points
Any set of ordered pairs
Undefined slope
Cannot be drawn in quizlet

49. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

50. What is the range of an identity function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Y
4 -6 -9