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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. 4x+5x=8x is what type of an equation?
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)
Conditional
45 degree angle

2. What is the average rate of change formula?
F(x)=suare root of x
Equation of a line
F(x2)-f(x1) / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

3. x= a real number is what type of equation?
Y=b
Conditional
Horizontal
F(x2)-f(x1) / x2-x1

4. 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.
Even
When does a graph not define y as a function of x?
Y=IxI

5. Is the standard cubic function odd - even or neither?
Odd
F(x)=+c and f(x)-c
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x2)-f(x1) / x2-x1

6. What points do you use to plot the inverse on a graph?
Parraelle line
The opposite coordinates
Equation of a line
F(x+c) and f(x-c)

7. What is the formula in both horizontal stretching and horizontal shrinking?
A V
20+.05x=5+.10x x=minutes
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=suare root of x

8. 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?
M
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
X is the hours to repair the boat. $1603-532=anwser/63 = x

9. x=no real numbers is what type of an equation?
Piecewise
Any set of ordered pairs
F(x)=3 square root x
Inconsistant

10. Which direction does f(x+c) move
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
Horizontal left
Y=10

11. What equation does every line have? Discuss the variables.
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.
2nd key - x^2 - graph
Cannot be drawn in quizlet
Inconsistant

12. standard absolute value - vertical shift formulas for positve and negative
Because the demintor of a quotient can never equal zero
0<c<1 - horizontal stretching
(-infinity - +infinity)
F(x)=+c and f(x)-c

13. What is the range of the constant function?
F(x2)-f(x1) / x2-x1
Zero slope
45 degree angle
The single number y=

14. 4x+5x=8x is what type of an equation?
Absolute Value - Constant and Standard Quadratic
Any set of ordered pairs
Conditional
The first set of components of an ordered pair

15. standard absolute value - horizontal shift formulas for left and right
Function notation
F(x+c) and f(x-c)
Cannot be drawn in quizlet
1 -2 -3

16. What is the range for the standard cubic function?
Conditional
(-infinity - +infinity)
Identity
F(x2)-f(x1) / x2-x1

17. What is the domain of a square root function?
[0 -+infinity)
As many as you like
F(x+h)-f(x)/h h cannot equal zero
F(x) = x

18. 4(x-7)=4x+28 is what type of an equation?
Perpendicular line
Inconsitent
Cannot be drawn in quizlet
F(x+c) and f(x-c)

19. What does the absolute value function look like?
20+.05x=5+.10x x=minutes
A V
X2-x1 because the demonaitor of a quotient can never equal zero
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

20. What is the range of an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Yes because two x's or domains can point to one y
4 -6 -9

21. What does linear equation mean?
Equation of a line
[0 -+infinity)
(-infinity - +infinity)
Down

22. What is the formula for slope?
45 degree angle
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1
X^2

23. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3
The secant line
F(x) = x

24. f(x) = x^2+3x+5 - what type of formula is this?
Y=x^2 - graph
As equations
Function notation
F(x)=x^3

25. What are the four steps for finding the inverse of a function?
Any set of ordered pairs
(-infinity - +infinity)
4 -6 -9
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

26. What are the steps for solving a word problem?
Piecewise
Y=IxI
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=10

27. standard absolute value - horizontal shift formulas for left and right
0<c<1 - horizontal stretching
A line passing through two distinct points
F(x+c) and f(x-c)
In a quotient

28. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic

29. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
[0 -+infinity)
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

30. What is the standard quadratic function?
X^2
Y= then enter the number then press graph
Identity
Even

31. What is the domain and range of a constant function?
(-infinity - +infinity)
[0 -+infinity)
Up
Identity

32. Is an identity function even - odd or neither?
Odd
The minimum or maximum points
Identity
The slope of a line containing two points

33. What type of slope do horizontal lines have?
F(x)=3 square root x
The minimum or maximum points
Inconsitent
Same

34. 4(x-7)=4x-28 is what type of an equation?
[0 -+infinity)
Yes because two x's or domains can point to one y
Identity
(-infinity - 0]you[0 - +infinity)

35. What is the point slope formula and when do you use it?
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x
Zero slope

36. How many domains can you have pointing to one range?
45 degree angle
(-infinity - +infinity)
F(x)=x^3
As many as you like

37. What are the calculator instructions for absolute value?
Equation of a line
2nd catalog (zero key -) abs(x) - graph
Perpendicular line
Because the demintor of a quotient can never equal zero

38. What shape is the standard quadratic function?
The minimum or maximum points
Identity
Set the x and y to zero and get the intercepts and then plot the points
Parabola

39. What is a constant function?
The second set of components of an ordered pair
The minimum or maximum points
F(x^1)=f(x^2)
The secant line

40. What can we substitute for f(x)?
A V
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
Three odd - cube root - identity - standard cubic

41. What type of line is a constant function?
Zero slope
Horizontal
Piecewise
(-infinity - +infinity)

42. What is the formula for an identity function?
F(x) = x
Down
X is the hours to repair the boat. $1603-532=anwser/63 = x
As equations

43. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Piecewise
As many as you like

44. What is the vertical line test?
Y=x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points
Parabola - up one and right three
When does a graph not define y as a function of x?

45. What is the domain of the cube root function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
A V
Undefined slope

46. What direction does f(x)-c move in standard absolute value formula?
Down
Neither
2nd catalog (zero key -) abs(x) - graph
X = the original sale price and the formula is x - .40x =$276

47. In an identity function if f(10)=x than What is y?
F(x)=3 square root x
Line ascending to the right gradually
Y=10
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

48. What type of slope do horizontal lines have?
Up
Because the demintor of a quotient can never equal zero
Line ascending to the right gradually
Same

49. What is the domain for an absolute value function?
Cannot be drawn in quizlet
F(x+c) and f(x-c)
(-infinity - +infinity)
C>1 - horizontal shrinking

50. What type of slope do you have when a line rises from left to right and m>0?
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
20+.05x=5+.10x x=minutes
Postiive slope
C>1 - horizontal shrinking