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. What is the range of an identity function?
Negative inverse
Odd
Conditional
(-infinity - +infinity)

2. What are the calculator instructions for absolute value?
Horizontal
2nd catalog (zero key -) abs(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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

3. y=f(cx) What does this formula represent?
[0 -+infinity)
The secant line
0<c<1 - horizontal stretching
Y=b

4. Which direction does f(x-c) move
When does a graph not define y as a function of x?
Down
Horizontal right
F(x+c) and f(x-c)

5. What type of line is an identity function?
Conditional
45 degree angle
1 -2 -3
Horizontal

6. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Undefined
[0 -+infinity)
Y=10

7. Why can h not equal zero in the difference of a quotient function formula?
Absolute Value - Constant and Standard Quadratic
F(x2)-f(x1) / x2-x1
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

8. What equation does every line have? Discuss the variables.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal
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.

9. What is the domain of an identity function?
[0 -+infinity)
F(x)=x^3
Equation of a line
(-infinity - +infinity)

10. What is the range of the constant function?
(-infinity - +infinity)
Horizontal
(-infinity - +infinity)
The single number y=

11. How would this formula move f(x)=(x+1)^2-3
Postiive slope
Parabola - up one and right three
Odd
Equation of a line

12. 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
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
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.

13. Of the seven of algebra's common graph's how many are odd?
Zero slope
Even
F(x) = x
Three odd - cube root - identity - standard cubic

14. What is the vertical line test?
When does a graph not define y as a function of x?
2nd key - x^2 - graph
Postiive slope
0<c<1 - horizontal stretching

15. Is an absolute value function even - odd or neither?
F(x)=x^3
Even
X2-x1 because the demonaitor of a quotient can never equal zero
Parabola - up one and right three

16. What is the formula for an identity function?
F(x) = x
(f+g) - (f-g) - (fg) - (f/g) all of x
X=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

17. Is the standard cubic function odd - even or neither?
Horizontal right
Odd
Because the demintor of a quotient can never equal zero
Horizontal

18. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3
Line ascending to the right gradually
Negative inverse

19. What is the formula for an identity function?
Even
0<c<1 - horizontal stretching
F(x) = x
Y=x - identity function

20. What is slope?
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal left
A line passing through two distinct points

21. What is the formula for the standard cubic function?
F(x)=x^3
[0 -+infinity)
F(x)=IxI
Horizontal left

22. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
Any set of ordered pairs
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

23. Of the seven of algebra's common graph's how many are neither?
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
Square Root
X^2
(f+g) - (f-g) - (fg) - (f/g) all of x

24. What type of function would you use to calculate the most advantageous cell phone plan?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
When does a graph not define y as a function of x?
Piecewise
As many as you like

25. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
F(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
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

26. What is the domain for an absolute value function?
A V
(-infinity - +infinity)
The opposite coordinates
F(x)=IxI

27. What type of line is a constant function?
In a quotient
Horizontal
The single number y=
F(x)=IxI

28. What is the formula for the square root function?
F(x)=suare root of x
Negative inverse
Up
X=a

29. What are the four steps for solving a linear equation?
Math 4 x - graph
F(x)=+c and f(x)-c
Inconsitent
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.

30. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Identity
4 -6 -9
X = the original sale price and the formula is x - .40x =$276

31. What is the domain of a square root function?
[0 -+infinity)
(-infinity - +infinity)
Identity
The opposite coordinates

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

33. What is the vertex?
The minimum or maximum points
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
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.
As equations

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The opposite coordinates
(-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.

35. What is the formula for to calculate the difference of a quotient function?
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero
Postiive slope
Identity

36. What is the domain for an absolute value function?
Even
Piecewise
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

37. Which direction does f(x+c) move
(-infinity - +infinity)
(-infinity - +infinity)
Horizontal left
(-infinity - +infinity)

38. What is a relation?
Y=IxI
Any set of ordered pairs
Y=b
Y=x - identity function

39. What does the square root function look like on a graph?
In a quotient
X math 3 graph
Line ascending to the right gradually
(-infinity - +infinity)

40. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Even
A V
[0 -+infinity)

41. What type of slope do you have when m=? and the line is vertical?
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
Undefined slope
(-infinity - +infinity)
The opposite coordinates

42. What is the domain for the standard cubic function?
(-infinity - +infinity)
Y=10
Negative inverse
Three odd - cube root - identity - standard cubic

43. What is the standard quadratic 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.
F(x) = x
Function notation
X^2

44. What is a constant function?
F(x)=+c and f(x)-c
Horizontal
F(x^1)=f(x^2)
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

45. 4(x-7)=4x+28 is what type of an equation?
F(x2)-f(x1) / x2-x1
Horizontal
[0 -+infinity)
Inconsitent

46. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
0<c<1 - horizontal stretching
Any set of ordered pairs
Function notation
X = the original sale price and the formula is x - .40x =$276

47. Is an identity function even - odd or neither?
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
F(x+h)-f(x)/h h cannot equal zero
X2-x1 because the demonaitor of a quotient can never equal zero

48. What is the domain for the standard cubic function?
Equation of a line
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

49. What is the range of the cube root function?
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
The minimum or maximum points

50. How many domains can you have pointing to one range?
Undefined slope
As many as you like
Piecewise
F(x)=x^3