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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?
(-infinity - +infinity)
Conditional
Same
Identity

2. What is the formula for an identity function?
F(x) = x
As equations
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle

3. Of the seven of algebra's common graph's how many are neither?
Square Root
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
A line passing through two distinct points

4. What are the calculator instructions for a square root function?
F(x)=3 square root x
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph
X^2

5. How do you graph Ax+By+C=0?
Parraelle line
X^2
Even
Set the x and y to zero and get the intercepts and then plot the points

6. 4(x-7)=4x+28 is what type of an equation?
Horizontal
No because you cannot have one domain pointing at two y's or ranges
Inconsitent
Because the demintor of a quotient can never equal zero

7. 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?
Down
(-infinity - +infinity)
The minimum or maximum points
X is the hours to repair the boat. $1603-532=anwser/63 = x

8. What is the domain of an identity function?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
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.
Y=10

9. What is the slope of a perpendicular line?
Negative inverse
X=a
Down
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

10. What does the standard cubic function look like on a graph?
Y=x^2 - graph
Negative inverse
Mirror image neg quadrant to that of the positive quandrant
F(x)=IxI

11. 4x+5x=8x is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
X^2
Conditional
Parabola

12. What type of slope do you have when the line is horizontal and m=0?
As many as you like
Zero slope
F of g and g of f
Negative slope

13. x=no real numbers is what type of an equation?
Inconsistant
Even
M
The single number y=

14. What is a range?
(-infinity - +infinity)
[0 -+infinity)
The second set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic

15. Why can h not equal zero in the difference of a quotient function formula?
Inconsitent
Horizontal
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph

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

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17. What is another way to write f(x)=x - what type of function is this?
(-infinity - 0]you[0 - +infinity)
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

18. Two vertical lines side by side are a symbol for what
F(x+c) and f(x-c)
Horizontal left
Horizontal right
Parraelle line

19. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X=a
Line ascending to the right gradually
The secant line

20. What is a domain?
Horizontal
F(x+c) and f(x-c)
The first set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

21. What is the formula for slope?
Postiive slope
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity

22. What is a constant function?
45 degree angle
F(x^1)=f(x^2)
Inconsistant
The opposite coordinates

23. What are the calculator instructions for absolute value?
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
Horizontal
Cannot be drawn in quizlet

24. What type of line is a constant function?
Horizontal
The opposite coordinates
Cannot be drawn in quizlet
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 are the four steps for finding the inverse of a function?
0<c<1 - horizontal stretching
Undefined
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X=a

26. What is the formula in both horizontal stretching and horizontal shrinking?
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X math 3 graph
Absolute Value - Constant and Standard Quadratic

27. y=f(cx) - What does this formula represent?
F(x)=3 square root x
Y=IxI
C>1 - horizontal shrinking
(-infinity - +infinity)

28. What are the calculator instructions for the standard cubic function?
The second set of components of an ordered pair
X math 3 graph
X = the original sale price and the formula is x - .40x =$276
The opposite coordinates

29. Is an identity function even - odd or neither?
4 -6 -9
X = the original sale price and the formula is x - .40x =$276
Identity
Odd

30. What direction does f(x)-c move in standard absolute value formula?
No because you cannot have one domain pointing at two y's or ranges
Even
Down
Only one

31. What type of slope do you have when m=? and the line is vertical?
[0 -+infinity)
The minimum or maximum points
Undefined slope
(-infinity - +infinity)

32. What is the range of the cube root function?
45 degree angle
X^2
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

33. Of the seven of algebra's common graph's how many are odd?
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic
In a quotient

34. What are the steps for solving a word problem?
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
[0 -+infinity)
45 degree angle
(-infinity - +infinity)

35. What type of line is a constant function?
Even
Inconsitent
Parabola - up one and right three
Horizontal

36. Draw or discuss an increasing function
Y=x - identity function
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
F(x+c) and f(x-c)

37. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Even
Y=x^2 - graph
A V

38. What is the range of the constant function?
The single number y=
Y
F(x)=+c and f(x)-c
45 degree angle

39. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
The minimum or maximum points

40. What are the calculator instructions for a standard quadratic equation?
2nd catalog (zero key -) abs(x) - graph
4 -6 -9
Y=x^2 - graph
Only one

41. A flat line underlining one vertical line is a symbol for...
A V
Conditional
As equations
Perpendicular line

42. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
As equations
(-infinity - +infinity)
1 -2 -3

43. What does the square root function look like on a graph?
Parabola
Horizontal left
1 -2 -3
Line ascending to the right gradually

44. What is the vertical line test?
(-infinity - 0]you[0 - +infinity)
The opposite coordinates
4 -6 -9
When does a graph not define y as a function of x?

45. What is the letter used to represent slope?
Because the demintor of a quotient can never equal zero
M
Yes - all the domains points to one range
F(x^1)=f(x^2)

46. What does the standard cubic function look like on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x) = x
Y=x^2 - graph
Mirror image neg quadrant to that of the positive quandrant

47. What equation does every line have? Discuss the variables.
Even
Yes because two x's or domains can point to one y
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.
Y=IxI

48. Is an absolute value function even - odd or neither?
When does a graph not define y as a function of x?
Piecewise
Postiive slope
Even

49. What is the range of the constant function?
The single number y=
Negative inverse
F(x2)-f(x1) / x2-x1
Any set of ordered pairs

50. What shape is the standard quadratic function?
(-infinity - +infinity)
A V
Inconsistant
Parabola