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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. What is an identity function?
Parraelle line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
F(x)=3 square root x

2. What type of slope do you have when a line falls left to right and m<0?
Negative slope
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.
No because you cannot have one domain pointing at two y's or ranges

3. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
As many as you like
As equations
4 -6 -9
M

4. What is the formula in both horizontal stretching and horizontal shrinking?
F(x+h)-f(x)/h h cannot equal zero
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

5. 4(x-7)=4x+28 is what type of an equation?
20+.05x=5+.10x x=minutes
Even
(-infinity - +infinity)
Inconsitent

6. Of the seven of algebra's common graph's how many are odd?
Absolute Value - Constant and Standard Quadratic
The single number y=
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic

7. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Zero slope
In a quotient
Horizontal

8. What is slope?
Cannot be drawn in quizlet
Odd
Cannot be drawn in quizlet
A line passing through two distinct points

9. What is slope?
2nd key - x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points
Odd

10. 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
X2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching

11. What is the slope intercept formula? Define all the variables.
Horizontal
Undefined slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Conditional

12. What is the formula in both horizontal stretching and horizontal shrinking?
Y= then enter the number then press graph
Y=x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parraelle line
(-infinity - +infinity)
The secant line

14. Two vertical lines side by side are a symbol for what
Function notation
Equation of a line
M
Parraelle line

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Approach neg toward x through zero and above positive close to x
Horizontal
Yes - all the domains points to one range
Negative slope

16. Is an absolute value function even - odd or neither?
Down
Y
Even
X math 3 graph

17. What is the vertical line test?
When does a graph not define y as a function of x?
The slope of a line containing two points
Y=IxI
F(x)=+c and f(x)-c

18. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=b
The single number y=
The secant line
Even

19. How do you calculate a constant function in your calculator?
Parabola - up one and right three
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= then enter the number then press graph
Even

20. What type of slope do you have when a line rises from left to right and m>0?
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Postiive slope
M

21. What is the domain of an identity function?
No because you cannot have one domain pointing at two y's or ranges
Yes - all the domains points to one range
Horizontal left
(-infinity - +infinity)

22. What is the formula for the standard cubic function?
Y=10
F(x)=x^3
Horizontal
Y=x^2 - graph

23. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
45 degree angle
Identity

24. What does the standard cubic function look like on a graph?
F(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
Y=10
Any set of ordered pairs

25. What is the range of 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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

26. What type of slope do horizontal lines have?
Inconsistant
Only one
Same
4 -6 -9

27. What are the steps for solving a word problem?
X^2
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
Negative inverse
F(x)=3 square root x

28. $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?
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
Conditional
The second set of components of an ordered pair
Square Root

29. What are two examples of composit functions?
Mirror image neg quadrant to that of the positive quandrant
F of g and g of f
Conditional
Absolute Value - Constant and Standard Quadratic

30. What type of line is a constant function?
Horizontal
Y
Zero slope
Same

31. What is the domain and range of a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The single number y=
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

32. What is the domain of a square root function?
[0 -+infinity)
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A line passing through two distinct points

33. Is the square root function odd - even or neither?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Odd
Neither

34. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
F(x)=IxI
Down

35. What is the formula for an absolute value function?
Parabola - up one and right three
F(x)=IxI
[0 -+infinity)
Negative inverse

36. Draw or discuss a constant function
Undefined slope
Down
Inconsistant
Cannot be drawn in quizlet

37. What are the calculator instructions for absolute value?
F(x)=IxI
Up
Horizontal
2nd catalog (zero key -) abs(x) - graph

38. What is the range for a standard quadratic function?
Y=10
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)

39. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Function notation
Parabola - up one and right three
Down

40. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Parraelle line
Postiive slope
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.

41. What is the range of the constant function?
Identity
Any set of ordered pairs
The single number y=
[0 -+infinity)

42. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
Y=x - identity function
Horizontal
(-infinity - +infinity)

43. How do you graph Ax+By+C=0?
(-infinity - +infinity)
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)

44. What are the calculator instructions for a square root function?
(-infinity - +infinity)
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph

45. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
F(x)=3 square root x

46. How do you graph Ax+By+C=0?
(-infinity - +infinity)
Y=b
The single number y=
Set the x and y to zero and get the intercepts and then plot the points

47. What is the domain for an absolute value function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

48. What are the calculator instructions for the standard cubic function?
45 degree angle
0<c<1 - horizontal stretching
45 degree angle
X math 3 graph

49. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
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)
Even

50. standard absolute value - vertical shift formulas for positve and negative
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=+c and f(x)-c
Zero slope
C>1 - horizontal shrinking