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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. Which direction does f(x)=+c move in standard absolute value formula?
F(x2)-f(x1) / x2-x1
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=
Up

2. What is the vertical line formula?
Same
X=a
F(x^1)=f(x^2)
2nd key - x^2 - graph

3. x= a real number is what type of equation?
M
45 degree angle
Conditional
F(x+c) and f(x-c)

4. Draw or discuss a decreasing function
Horizontal left
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
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.

5. What is the vertical line test?
X^2
Change in y / change in x = rise / run = y2-y1 / x2-x1
When does a graph not define y as a function of x?
A line passing through two distinct points

6. What is the range for a standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

7. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
F(x+c) and f(x-c)
M

8. What direction does f(x)-c move in standard absolute value formula?
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
Down
The secant line
F(x)=IxI

9. What type of slope do you have when a line falls left to right and m<0?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph
Negative slope

10. What equation does every line have? Discuss the variables.
Piecewise
Perpendicular line
Set the x and y to zero and get the intercepts and then plot the points
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.

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
When does a graph not define y as a function of x?
The secant line
1 -2 -3
The opposite coordinates

12. What does the graph of the cube root function look like on the graph?
Conditional
Identity
Approach neg toward x through zero and above positive close to x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

13. What shape is the standard quadratic function?
Parabola
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
Conditional

14. What is the range of a square root function?
Inconsistant
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
Line ascending to the right gradually

15. What type of slope do you have when a line rises from left to right and m>0?
Conditional
The first set of components of an ordered pair
[0 -+infinity)
Postiive slope

16. 4(x-7)=4x+28 is what type of an equation?
Undefined
Because the demintor of a quotient can never equal zero
As equations
Inconsitent

17. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
Piecewise

18. What type of line is a constant function?
Down
Perpendicular line
Horizontal
Y=x^2 - graph

19. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(-infinity - +infinity)
Conditional
Piecewise

20. How many domains can you have pointing to one range?
The secant line
Horizontal right
As many as you like
2nd catalog (zero key -) abs(x) - graph

21. What can never equal zero in the slope formula and why?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Postiive slope

22. What is another way of writing the absolute value function?
X2-x1 because the demonaitor of a quotient can never equal zero
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.
Y=IxI
X=a

23. x=all real numbers is what type of an equation?
Negative slope
Identity
0<c<1 - horizontal stretching
X2-x1 because the demonaitor of a quotient can never equal zero

24. What is a range?
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 second set of components of an ordered pair
F(x)=+c and f(x)-c
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

25. Two vertical lines side by side are a symbol for what
Parraelle line
45 degree angle
X math 3 graph
[0 -+infinity)

26. What type of function would you use to calculate the most advantageous cell phone plan?
Y=10
Piecewise
2nd catalog (zero key -) abs(x) - graph
The opposite coordinates

27. Is the standard cubic function odd - even or neither?
Odd
Y
A V
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

28. What is the domain of a square root function?
[0 -+infinity)
F(x^1)=f(x^2)
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

29. When is the only time (-infinity - +infinity) is not the domain?
Even
Inconsistant
In a quotient
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Cannot be drawn in quizlet
45 degree angle
1 -2 -3
2nd catalog (zero key -) abs(x) - graph

31. What is a constant function?
(-infinity - +infinity)
F(x^1)=f(x^2)
4 -6 -9
Negative slope

32. Of the seven of algebra's common graph's how many are odd?
Y=x - identity function
Horizontal right
Three odd - cube root - identity - standard cubic
Piecewise

33. 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
Even
Square Root
Y= then enter the number then press graph

34. 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.
(-infinity - +infinity)
M
4 -6 -9

35. What is the letter used to represent slope?
Equation of a line
(-infinity - 0]you[0 - +infinity)
M
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

36. How do you graph Ax+By+C=0?
Line ascending to the right gradually
The opposite coordinates
X = the original sale price and the formula is x - .40x =$276
Set the x and y to zero and get the intercepts and then plot the points

37. What is the formula for the cube root function?
[0 -+infinity)
(-infinity - +infinity)
F(x)=3 square root x
Down

38. What is a domain?
The first set of components of an ordered pair
Odd
Y=10
Y=10

39. f(x) = x^2+3x+5 - what type of formula is this?
Approach neg toward x through zero and above positive close to x
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
2nd catalog (zero key -) abs(x) - graph
Function notation

40. What is slope?
A line passing through two distinct points
Three odd - cube root - identity - standard cubic
Up
F(x)=3 square root x

41. Is an absolute value function even - odd or neither?
Parabola
F(x) = x
Even
(-infinity - +infinity)

42. How do you graph Ax+By+C=0?
Horizontal
Y=10
Set the x and y to zero and get the intercepts and then plot the points
F(x)=x^3

43. What is the domain for an absolute value function?
20+.05x=5+.10x x=minutes
Conditional
F(x^1)=f(x^2)
(-infinity - +infinity)

44. What are the calculator instructions for a square root function?
Undefined slope
2nd key - x^2 - graph
Three odd - cube root - identity - standard cubic
F(x)=IxI

45. What is the formula for an absolute value function?
Odd
F(x)=IxI
Y=10
Any set of ordered pairs

46. What is the domain for the standard cubic function?
F(x+c) and f(x-c)
As equations
The minimum or maximum points
(-infinity - +infinity)

47. What are the calculator instructions for a standard quadratic equation?
Horizontal right
Y=x^2 - graph
Any set of ordered pairs
The slope of a line containing two points

48. In an identity function if f(10)=x than What is y?
Y=10
F(x+h)-f(x)/h h cannot equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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

49. What does the average rate of change formula solve?
45 degree angle
Inconsitent
The slope of a line containing two points
Horizontal left

50. What type of slope do vertical lines have?
(-infinity - +infinity)
Cannot be drawn in quizlet
Undefined
Function notation