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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 the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative slope
Down
Piecewise

2. What is a relation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Any set of ordered pairs
(-infinity - +infinity)
Y=x^2 - graph

3. What is the formula for the cube root function?
F(x)=3 square root x
The secant line
[0 -+infinity)
F(x)=x^3

4. Which direction does f(x-c) move
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal right
In a quotient
Identity

5. What type of line is a constant function?
Conditional
X^2
Piecewise
Horizontal

6. What is the formula for the cube root function?
Only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=3 square root x
F of g and g of f

7. What does the standard cubic function look like on a graph?
Y=10
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.
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function

8. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
Horizontal
Down

9. Draw or discuss an increasing function
Cannot be drawn in quizlet
Identity
Absolute Value - Constant and Standard Quadratic
The secant line

10. What is the point slope formula and when do you use it?
Line ascending to the right gradually
F(x)=+c and f(x)-c
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking

11. What is the horizontal line formula?
The opposite coordinates
The slope of a line containing two points
Y=b
F(x^1)=f(x^2)

12. What are the calculator instructions for absolute value?
(-infinity - +infinity)
Neither
2nd catalog (zero key -) abs(x) - graph
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

13. How are functions normally written?
X = the original sale price and the formula is x - .40x =$276
As equations
45 degree angle
(-infinity - 0]you[0 - +infinity)

14. What can we substitute for f(x)?
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
20+.05x=5+.10x x=minutes
Y
Even

15. What is the range of the cube root function?
(-infinity - +infinity)
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
Y=IxI

16. What is the vertical line test?
F(x)=+c and f(x)-c
Piecewise
X math 3 graph
When does a graph not define y as a function of x?

17. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
45 degree angle
20+.05x=5+.10x x=minutes
Only one
Cannot be drawn in quizlet

18. What is the vertical line test?
Horizontal right
Y
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes

19. What are the steps for solving a word problem?
Horizontal left
[0 -+infinity)
A line passing through two distinct points
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

20. Of the seven of algebra's common graph's how many are even?
The second set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic
In a quotient
Piecewise

21. What is a range?
0<c<1 - horizontal stretching
The second set of components of an ordered pair
45 degree angle
When does a graph not define y as a function of x?

22. What does the average rate of change formula solve?
Parabola - up one and right three
(-infinity - +infinity)
The slope of a line containing two points
X is the hours to repair the boat. $1603-532=anwser/63 = x

23. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
1 -2 -3
(-infinity - +infinity)
Cannot be drawn in quizlet

24. What is the domain and range of a constant function?
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
In a quotient
(-infinity - +infinity)

25. Is an absolute value function even - odd or neither?
1 -2 -3
The secant line
[0 -+infinity)
Even

26. Is the standard cubic function odd - even or neither?
Odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=10
(f+g) - (f-g) - (fg) - (f/g) all of x

27. What can never equal zero in the slope formula and why?
Line ascending to the right gradually
Postiive slope
X2-x1 because the demonaitor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276

28. Of the seven of algebra's common graph's how many are neither?
Square Root
(-infinity - 0]you[0 - +infinity)
Perpendicular line
X=a

29. What is a constant function?
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
X2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking
F(x^1)=f(x^2)

30. Is the standard cubic function odd - even or neither?
In a quotient
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
Odd

31. What is a range?
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
Odd
Any set of ordered pairs

32. What can never equal zero in the slope formula and why?
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
Yes because two x's or domains can point to one y
When does a graph not define y as a function of x?

33. What is the range of the constant function?
Any set of ordered pairs
F(x)=x^3
Inconsitent
The single number y=

34. What are the calculator instructions for a standard quadratic equation?
Equation of a line
(-infinity - +infinity)
Y=x^2 - graph
Any set of ordered pairs

35. What type of line is an identity function?
A V
45 degree angle
X math 3 graph
Function notation

36. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Odd
[0 -+infinity)
F(x) = x

37. What is the formula for slope?
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
Any set of ordered pairs
Zero slope

38. What type of slope do vertical lines have?
In a quotient
Undefined
Identity
4 -6 -9

39. Why can h not equal zero in the difference of a quotient function formula?
Odd
F(x) = x
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero

40. What type of line is a constant function?
Inconsistant
Horizontal
Y=b
[0 -+infinity)

41. Which direction does f(x)=+c move in standard absolute value 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
Up
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic

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

43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Horizontal
The secant line
1 -2 -3
2nd catalog (zero key -) abs(x) - graph

44. What is the range for an absolute value function?
1 -2 -3
No because you cannot have one domain pointing at two y's or ranges
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)

45. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Parraelle line
20+.05x=5+.10x x=minutes
Square Root
(-infinity - +infinity)

46. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
M
(-infinity - +infinity)
F(x)=suare root of x

47. x=all real numbers is what type of an equation?
Parabola
Parabola
Absolute Value - Constant and Standard Quadratic
Identity

48. What is the domain for a standard quadratic function?
C>1 - horizontal shrinking
(-infinity - +infinity)
F(x)=3 square root x
F(x+c) and f(x-c)

49. What type of slope do vertical lines have?
X math 3 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.
Undefined
Absolute Value - Constant and Standard Quadratic

50. What is a function?
Cannot be drawn in quizlet
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y