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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?
Conditional
Identity
Negative slope
C>1 - horizontal shrinking

2. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
F(x)=+c and f(x)-c
Yes because two x's or domains can point to one y
Parabola - up one and right three

3. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Even
M
Horizontal

4. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
2nd key - x^2 - graph
(-infinity - +infinity)
X math 3 graph

5. What type of slope do you have when a line falls left to right and m<0?
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Negative slope

6. What can never equal zero in the slope formula and why?
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.
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero
Same

7. What is the standard quadratic function?
X^2
Because the demintor of a quotient can never equal zero
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

8. How would this formula move f(x)=(x+1)^2-3
Perpendicular line
Parabola - up one and right three
Line ascending to the right gradually
1 -2 -3

9. Is an absolute value function even - odd or neither?
Horizontal
Any set of ordered pairs
Even
X math 3 graph

10. What type of slope do horizontal lines have?
Y
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
Same

11. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
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
Yes because two x's or domains can point to one y
X = the original sale price and the formula is x - .40x =$276
Piecewise

12. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Up
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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

13. What is the domain for the standard cubic function?
(-infinity - +infinity)
Horizontal left
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Identity

14. What is a range?
Y=b
The second set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even

15. x=no real numbers is what type of an equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsistant
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

16. What is the vertical line test?
(-infinity - +infinity)
Only one
M
When does a graph not define y as a function of x?

17. x=no real numbers is what type of an equation?
(-infinity - +infinity)
Inconsistant
In a quotient
45 degree angle

18. What is the point slope formula and when do you use it?
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parabola - up one and right three

19. What does the square root function look like on a graph?
Parabola - up one and right three
Square Root
Line ascending to the right gradually
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 the constant function?
Inconsistant
Negative inverse
Cannot be drawn in quizlet
The single number y=

21. What are the steps for solving a word problem?
Undefined slope
Y= then enter the number then press graph
Up
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

22. What is the range of the cube root function?
Y=x - identity function
Postiive slope
(-infinity - +infinity)
Y=b

23. What is the range for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
X^2
(-infinity - +infinity)
The minimum or maximum points

24. What are the calculator instructions for the standard cubic function?
Negative slope
When does a graph not define y as a function of x?
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

25. How do you graph Ax+By+C=0?
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

26. What direction does f(x)-c move in standard absolute value formula?
Approach neg toward x through zero and above positive close to x
Down
Y=b
Piecewise

27. What does the absolute value function look like?
Odd
A V
(-infinity - 0]you[0 - +infinity)
The opposite coordinates

28. What is the formula for the standard cubic function?
(-infinity - +infinity)
The opposite coordinates
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

29. What is the horizontal line formula?
X = the original sale price and the formula is x - .40x =$276
Y=b
Cannot be drawn in quizlet
Same

30. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y

31. What is the formula for an absolute value function?
F(x)=3 square root x
F(x)=IxI
Piecewise
[0 -+infinity)

32. What type of function would you use to calculate the most advantageous cell phone plan?
Parraelle line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity
Piecewise

33. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Horizontal left
Neither
1 -2 -3
F(x)=IxI

34. What is the letter used to represent slope?
M
4 -6 -9
Any set of ordered pairs
Conditional

35. What is the range of a square root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Zero slope
[0 -+infinity)
X=a

36. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
Y=10

37. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Negative inverse
X = the original sale price and the formula is x - .40x =$276
[0 -+infinity)
A V

38. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the 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
Perpendicular line
Y=b
X=a

39. What are the calculator instructions for absolute value?
F(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph
2nd key - x^2 - 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

40. What direction does f(x)-c move in standard absolute value formula?
Y=10
Down
Change in y / change in x = rise / run = y2-y1 / 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

41. What are the steps for solving a word problem?
Y= then enter the number then press 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
Negative inverse
X^2

42. What shape is the standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
When does a graph not define y as a function of x?
Parabola

43. What can we substitute for f(x)?
Y
Down
Set the x and y to zero and get the intercepts and then plot the points
F(x)=IxI

44. In an identity function if f(10)=x than What is y?
Y=10
The second set of components of an ordered pair
Y=IxI
Odd

45. What is the point slope formula and when do you use it?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
When does a graph not define y as a function of x?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X^2

46. What type of slope do vertical lines have?
Piecewise
Neither
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined

47. Draw or discuss an increasing function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
Y=x - identity function
45 degree angle

48. What is a function?
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero

49. What is slope?
(-infinity - +infinity)
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph
Mirror image neg quadrant to that of the positive quandrant

50. 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?
X^2
The first set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity