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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. Two vertical lines side by side are a symbol for what
No because you cannot have one domain pointing at two y's or ranges
Parraelle line
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

2. What is the formula for an identity function?
(-infinity - +infinity)
In a quotient
F(x) = x
Down

3. What is an identity function?
Even
Negative slope
45 degree angle
X=a

4. What is slope?
Negative slope
F(x^1)=f(x^2)
A line passing through two distinct points
A V

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

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6. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
The opposite coordinates
Yes - all the domains points to one range

7. What type of slope do vertical lines have?
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.
Down
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
Undefined

8. What is slope?
A line passing through two distinct points
(-infinity - +infinity)
F(x)=+c and f(x)-c
Up

9. What type of slope do horizontal lines have?
Yes - all the domains points to one range
Same
Horizontal
Any set of ordered pairs

10. What is the vertical line formula?
(-infinity - +infinity)
X=a
The single number y=
Conditional

11. Of the seven of algebra's common graph's how many are odd?
The opposite coordinates
Down
Perpendicular line
Three odd - cube root - identity - standard cubic

12. What can we substitute for f(x)?
Y
Any set of ordered pairs
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
Undefined slope

13. What type of line is a constant function?
Horizontal
F(x)=suare root of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

14. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Even
(-infinity - +infinity)
Yes because two x's or domains can point to one y

15. What is the formula for the standard cubic function?
C>1 - horizontal shrinking
F(x)=x^3
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.
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

16. What type of slope do you have when a line rises from left to right and m>0?
X = the original sale price and the formula is x - .40x =$276
Postiive slope
As many as you like
F(x+h)-f(x)/h h cannot equal zero

17. What is the domain of an identity function?
0<c<1 - horizontal stretching
45 degree angle
Identity
(-infinity - +infinity)

18. What is the range of a square root function?
[0 -+infinity)
In a quotient
F(x2)-f(x1) / x2-x1
Parabola

19. standard absolute value - horizontal shift formulas for left and right
Zero slope
F(x+c) and f(x-c)
(-infinity - +infinity)
Negative inverse

20. What is the slope of a perpendicular line?
Square Root
Yes because two x's or domains can point to one y
F(x)=x^3
Negative inverse

21. What type of slope do you have when the line is horizontal and m=0?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
45 degree angle
Zero slope

22. What type of line is a constant function?
Horizontal right
Horizontal
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
F(x2)-f(x1) / x2-x1

23. What is the range of the cube root function?
Undefined slope
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
0<c<1 - horizontal stretching

24. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Conditional
X=a
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.
X = the original sale price and the formula is x - .40x =$276

25. 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?
Square Root
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Y=x^2 - graph

26. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
F(x)=+c and f(x)-c
Approach neg toward x through zero and above positive close to 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

27. What are two examples of composit functions?
45 degree angle
F of g and g of f
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic

28. 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
(-infinity - +infinity)
Perpendicular line
X math 3 graph

29. What is the range for the standard cubic function?
(-infinity - +infinity)
M
Postiive slope
F(x)=+c and f(x)-c

30. Why can h not equal zero in the difference of a quotient function formula?
F(x)=x^3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

31. What is the formula for the square root function?
45 degree angle
Inconsistant
Yes - all the domains points to one range
F(x)=suare root of x

32. What are the four steps for solving a linear equation?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
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
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.

33. What type of slope do you have when the line is horizontal and m=0?
F(x)=3 square root x
As equations
Zero slope
Any set of ordered pairs

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

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35. 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
The secant line
X^2
(-infinity - +infinity)

36. 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(x)=3 square root x
The minimum or maximum points
Inconsistant

37. Is a constant function even - odd or neither?
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=x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even

38. What does the square root function look like on a graph?
F of g and g of f
Line ascending to the right gradually
(-infinity - +infinity)
Odd

39. Draw or discuss an increasing function
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
Horizontal left

40. What is the range of a square root function?
Horizontal left
[0 -+infinity)
Identity
0<c<1 - horizontal stretching

41. What is the slope of a perpendicular line?
Down
Y=x^2 - graph
Negative inverse
(-infinity - +infinity)

42. x=all real numbers is what type of an equation?
F of g and g of f
The slope of a line containing two points
A V
Identity

43. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
X = the original sale price and the formula is x - .40x =$276
F(x+c) and f(x-c)

44. Which direction does f(x-c) move
Postiive slope
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
Horizontal right

45. What is the formula for the cube root function?
Cannot be drawn in quizlet
Parraelle line
F(x)=3 square root x
Line ascending to the right gradually

46. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero
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

47. What is the average rate of change formula?
Perpendicular line
45 degree angle
Even
F(x2)-f(x1) / x2-x1

48. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Equation of a line
Y=b
F(x+c) and f(x-c)

49. What is another way to write f(x)=x - what type of function is this?
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The second set of components of an ordered pair
Y=x - identity function

50. Is a standard quadratic function even - odd or neither?
Even
Any set of ordered pairs
20+.05x=5+.10x x=minutes
Conditional