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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 type of slope do you have when a line falls left to right and m<0?
X=a
Negative slope
(-infinity - +infinity)
As equations

2. What does the absolute value function look like?
Undefined
Yes - all the domains points to one range
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A V

3. Of the seven of algebra's common graph's how many are neither?
Square Root
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
The single number y=
X math 3 graph

4. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Parabola - up one and right three
(-infinity - +infinity)
(-infinity - +infinity)

5. What are the steps for solving a word problem?
Postiive slope
Cannot be drawn in quizlet
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
C>1 - horizontal shrinking

6. What is the domain of an identity function?
Cannot be drawn in quizlet
The second set of components of an ordered pair
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
(-infinity - +infinity)

7. How would this formula move f(x)=(x+1)^2-3
The slope of a line containing two points
Parabola - up one and right three
Down
Horizontal

8. 4(x-7)=4x+28 is what type of an equation?
Undefined
Inconsitent
Up
Cannot be drawn in quizlet

9. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)
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
(f+g) - (f-g) - (fg) - (f/g) all of x

10. What is another way to write f(x)=x - what type of function is this?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The opposite coordinates
Postiive slope
Y=x - identity function

11. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Parraelle line
Equation of a line
Even

12. What is the domain of the cube root function?
The opposite coordinates
Same
(-infinity - +infinity)
F(x)=x^3

13. What does linear equation mean?
Horizontal left
Square Root
Equation of a line
Cannot be drawn in quizlet

14. Which direction does f(x)=+c move in standard absolute value formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

15. What is the formula for the standard cubic function?
45 degree angle
Odd
Piecewise
F(x)=x^3

16. Of the seven of algebra's common graph's how many are neither?
The secant line
Square Root
Y
Undefined

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Up
45 degree angle
(-infinity - +infinity)
1 -2 -3

18. What are the four steps for solving a linear equation?
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)=IxI
Horizontal left
Zero slope

19. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
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
(-infinity - 0]you[0 - +infinity)
Perpendicular line

20. What is the range for the standard cubic function?
Parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As equations
(-infinity - +infinity)

21. Of the seven of algebra's common graph's how many are odd?
Only one
The secant line
2nd key - x^2 - graph
Three odd - cube root - identity - standard cubic

22. What are the four steps for finding the inverse of a function?
Horizontal
The slope of a line containing two points
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

23. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Yes - all the domains points to one range
Cannot be drawn in quizlet
The secant line
X = the original sale price and the formula is x - .40x =$276

24. Is the standard cubic function odd - even or neither?
Conditional
Odd
Horizontal right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

25. What is the letter used to represent slope?
[0 -+infinity)
(-infinity - +infinity)
M
Horizontal

26. Draw or discuss an increasing function
A line passing through two distinct points
X^2
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero

27. What type of slope do horizontal lines have?
F(x)=+c and f(x)-c
Square Root
Same
(-infinity - +infinity)

28. What is the average rate of change formula?
Conditional
F(x2)-f(x1) / x2-x1
Odd
Negative slope

29. A flat line underlining one vertical line is a symbol for...
0<c<1 - horizontal stretching
Perpendicular line
Cannot be drawn in quizlet
Math 4 x - graph

30. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
Zero slope
In a quotient
(-infinity - +infinity)

31. Draw or discuss an increasing function
Cannot be drawn in quizlet
X math 3 graph
As equations
A line passing through two distinct points

32. What is the formula for the square root function?
Three odd - cube root - identity - standard cubic
Even
X^2
F(x)=suare root of x

33. What type of slope do you have when m=? and the line is vertical?
2nd key - x^2 - graph
45 degree angle
Parraelle line
Undefined slope

34. What is the domain and range of a constant function?
Piecewise
The secant line
(-infinity - +infinity)
Y=b

35. Of the seven of algebra's common graph's how many are odd?
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional
Three odd - cube root - identity - standard cubic
Neither

36. x= a real number is what type of equation?
F(x)=3 square root x
Yes because two x's or domains can point to one y
Conditional
Undefined

37. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=b

38. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
The first set of components of an ordered pair
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
Cannot be drawn in quizlet

39. What are the calculator instructions for a square root function?
Y=x^2 - graph
(-infinity - +infinity)
The secant line
2nd key - x^2 - graph

40. How do you graph Ax+By+C=0?
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually
Cannot be drawn in quizlet

41. What is another way of writing the absolute value function?
Even
Cannot be drawn in quizlet
(-infinity - +infinity)
Y=IxI

42. Two vertical lines side by side are a symbol for what
The opposite coordinates
Y=b
Same
Parraelle line

43. What type of slope do you have when the line is horizontal and m=0?
Identity
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=suare root of x
Zero slope

44. Is an identity function even - odd or neither?
Odd
Horizontal right
Up
Negative inverse

45. What are the four steps for solving a linear equation?
F(x)=3 square root x
Inconsistant
(-infinity - 0]you[0 - +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.

46. 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
(-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.
Negative slope

47. What is a relation?
Conditional
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs
0<c<1 - horizontal stretching

48. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Only one
Horizontal

49. What is the point slope formula and when do you use it?
Y
M
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

50. What is the formula for an absolute value function?
The minimum or maximum points
F(x)=suare root of x
F(x)=IxI
Only one