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. standard absolute value - horizontal shift formulas for left and right
Square Root
F(x+c) and f(x-c)
2nd key - x^2 - graph
F(x)=3 square root x

2. What are the calculator instructions for a standard quadratic equation?
Inconsitent
Y=x^2 - graph
F(x)=suare root of x
Y= then enter the number then press graph

3. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
X^2
Square Root
F of g and g of f

4. What are the calculator instructions for the standard cubic function?
X math 3 graph
Horizontal
F(x2)-f(x1) / x2-x1
X2-x1 because the demonaitor of a quotient can never equal zero

5. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Odd
1 -2 -3
When does a graph not define y as a function of x?
(-infinity - +infinity)

6. 4(x-7)=4x+28 is what type of an equation?
X = the original sale price and the formula is x - .40x =$276
Even
F(x^1)=f(x^2)
Inconsitent

7. What is the formula for slope?
(-infinity - 0]you[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant
Function notation

8. What are the four steps for solving a linear equation?
Set the x and y to zero and get the intercepts and then plot the points
2nd key - x^2 - graph
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)

9. Of the seven of algebra's common graph's how many are neither?
Parabola - up one and right three
Square Root
Inconsistant
(-infinity - +infinity)

10. Which direction does f(x+c) move
Identity
Parabola
Horizontal left
Piecewise

11. What is the range of an identity function?
(-infinity - +infinity)
4 -6 -9
Identity
Set the x and y to zero and get the intercepts and then plot the points

12. What does the square root function look like on a graph?
Y=10
F(x+c) and f(x-c)
Identity
Line ascending to the right gradually

13. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
F(x+c) and f(x-c)
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
[0 -+infinity)

14. What is the domain of a square root function?
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
The second set of components of an ordered pair
[0 -+infinity)

15. What equation does every line have? Discuss the variables.
F(x)=x^3
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
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 - 0]you[0 - +infinity)

16. What is the domain of the cube root function?
When does a graph not define y as a function of x?
Function notation
(-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.

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Equation of a line
The first set of components of an ordered pair
The secant line
As many as you like

18. 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
As equations
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

19. What type of slope do you have when a line rises from left to right and m>0?
X math 3 graph
Postiive slope
Parabola
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. y^2+x=4 is this a function? Why?

21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Cannot be drawn in quizlet
Negative slope
F(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. What is the vertex?
The minimum or maximum points
Conditional
45 degree angle
(-infinity - +infinity)

23. What is the domain for an absolute value function?
A line passing through two distinct points
Undefined slope
The second set of components of an ordered pair
(-infinity - +infinity)

24. Of the seven of algebra's common graph's how many are odd?
A V
Three odd - cube root - identity - standard cubic
Even
Square Root

25. Is a standard quadratic function even - odd or neither?
[0 -+infinity)
(-infinity - +infinity)
Even
Equation of a line

26. What type of line is a constant function?
Parraelle line
Horizontal
Negative slope
A V

27. What is the formula for the cube root function?
The first set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=3 square root x
Perpendicular line

28. What is a range?
Inconsistant
The minimum or maximum points
Three odd - cube root - identity - standard cubic
The second set of components of an ordered pair

29. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Down
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
45 degree angle

30. What does the absolute value function look like?
Negative inverse
Horizontal right
F(x2)-f(x1) / x2-x1
A V

31. In an identity function if f(10)=x than What is y?
In a quotient
(-infinity - +infinity)
Y=10
X2-x1 because the demonaitor of a quotient can never equal zero

32. What type of function would you use to calculate the most advantageous cell phone plan?
The single number y=
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Piecewise

33. What is the range of the constant function?
(-infinity - +infinity)
Undefined slope
The single number y=
[0 -+infinity)

34. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Y=10
Parabola - up one and right three
Postiive slope

35. What is the domain of an identity function?
M
(-infinity - +infinity)
Equation of a line
4 -6 -9

36. How many domains can you have pointing to one range?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Set the x and y to zero and get the intercepts and then plot the points
No because you cannot have one domain pointing at two y's or ranges
As many as you like

37. Which direction does f(x-c) move
Horizontal
Postiive slope
Horizontal right
45 degree angle

38. What is the range for a standard quadratic function?
1 -2 -3
Negative inverse
(-infinity - 0]you[0 - +infinity)
Down

39. What is the average rate of change formula?
Down
(-infinity - +infinity)
The slope of a line containing two points
F(x2)-f(x1) / x2-x1

40. What is the vertical line test?
A V
(-infinity - +infinity)
When does a graph not define y as a function of x?
Horizontal left

41. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x - identity function
Horizontal right

42. What can we substitute for f(x)?
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
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y

43. What is the domain for a standard quadratic function?
Parraelle line
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

44. What is a relation?
Any set of ordered pairs
X math 3 graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity

45. What is the domain of the cube root function?
As many as you like
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Horizontal

46. Which direction does f(x)=+c move in standard absolute value formula?
Y=IxI
Up
Parabola - up one and right three
The first set of components of an ordered pair

47. What are the calculator instructions for absolute value?
The secant line
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
2nd catalog (zero key -) abs(x) - graph
Even

48. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph
F(x)=suare root of x

49. What is the horizontal line formula?
(-infinity - +infinity)
Y=b
In a quotient
Even

50. What type of line is a constant function?
4 -6 -9
Three odd - cube root - identity - standard cubic
F(x)=IxI
Horizontal