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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. Of the seven of algebra's common graph's how many are neither?
Horizontal right
Square Root
Piecewise
F(x) = x

2. What is the slope of a perpendicular line?
Equation of a line
Parabola - up one and right three
F(x)=+c and f(x)-c
Negative inverse

3. What does the square root function look like on a graph?
X = the original sale price and the formula is x - .40x =$276
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually

4. What is the range of an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
Down
(-infinity - +infinity)

5. What is the domain for the standard cubic function?
X2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
(-infinity - +infinity)
In a quotient

6. $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
Piecewise
The opposite coordinates
Three odd - cube root - identity - standard cubic

7. What is the vertical line formula?
Piecewise
X=a
(-infinity - 0]you[0 - +infinity)
45 degree angle

8. What does the standard cubic function look like on a graph?
Because the demintor of a quotient can never equal zero
Conditional
Only one
Mirror image neg quadrant to that of the positive quandrant

9. What is an identity function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
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

10. standard absolute value - horizontal shift formulas for left and right
Cannot be drawn in quizlet
F(x+c) and f(x-c)
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)

11. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
2nd key - x^2 - graph
The single number y=
4 -6 -9

12. Draw or discuss a constant function
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
C>1 - horizontal shrinking
The secant line

13. Is an absolute value function even - odd or neither?
Down
No because you cannot have one domain pointing at two y's or ranges
The single number y=
Even

14. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=
Undefined
F(x+c) and f(x-c)

15. What is the formula in both horizontal stretching and horizontal shrinking?
Horizontal
Inconsitent
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

16. Which direction does f(x+c) move
The secant line
Only one
Even
Horizontal left

17. What is the domain of the cube root function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
(f+g) - (f-g) - (fg) - (f/g) all of x
Function notation

18. What direction does f(x)-c move in standard absolute value formula?
Down
Y= then enter the number then press graph
(-infinity - +infinity)
F(x+c) and f(x-c)

19. What are the four steps for finding the inverse of a function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
0<c<1 - horizontal stretching
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.

20. What is a constant function?
(-infinity - +infinity)
F(x^1)=f(x^2)
The minimum or maximum points
Y=10

21. What is the domain and range of a constant function?
Parabola
Negative inverse
(-infinity - +infinity)
Y=IxI

22. 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.
Cannot be drawn in quizlet
F(x+c) and f(x-c)
(-infinity - +infinity)

23. What shape is the standard quadratic function?
Parabola
F(x)=x^3
F(x)=3 square root x
Y=10

24. What type of slope do horizontal lines have?
Same
Horizontal left
Perpendicular line
Y=b

25. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
X^2
Y=IxI
X = the original sale price and the formula is x - .40x =$276

26. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

27. What can we substitute for f(x)?
Y
F(x^1)=f(x^2)
Neither
(-infinity - +infinity)

28. What is the domain for a standard quadratic function?
Approach neg toward x through zero and above positive close to x
X2-x1 because the demonaitor of a quotient can never equal zero
Identity
(-infinity - +infinity)

29. What type of slope do you have when a line falls left to right and m<0?
Perpendicular line
Negative slope
As equations
F of g and g of f

30. What are the calculator instructions for the cube root function?
Math 4 x - graph
Neither
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

31. How many ranges can you have for each domain?
45 degree angle
Only one
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points

32. What does the average rate of change formula solve?
Mirror image neg quadrant to that of the positive quandrant
The slope of a line containing two points
Math 4 x - graph
Even

33. What type of function would you use to calculate the most advantageous cell phone plan?
[0 -+infinity)
Y= then enter the number then press graph
Piecewise
No because you cannot have one domain pointing at two y's or ranges

34. What are the steps for solving a word problem?
(-infinity - +infinity)
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
Mirror image neg quadrant to that of the positive quandrant
F(x2)-f(x1) / x2-x1

35. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
[0 -+infinity)
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

36. What is the vertical line test?
When does a graph not define y as a function of x?
The secant line
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.
F(x) = x

37. 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.
Odd
Zero slope
The minimum or maximum points

38. 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?
Approach neg toward x through zero and above positive close to x
Parabola - up one and right three
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X=a
Yes - all the domains points to one range

40. Is the standard cubic function odd - even or neither?
As equations
Conditional
Negative slope
Odd

41. What is the range of the constant function?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
The single number y=
X is the hours to repair the boat. $1603-532=anwser/63 = x

42. When is the only time (-infinity - +infinity) is not the domain?
Only one
In a quotient
F(x2)-f(x1) / x2-x1
Same

43. What are the calculator instructions for a standard quadratic equation?
Undefined
Y=x^2 - graph
F(x2)-f(x1) / x2-x1
A V

44. What is the horizontal line formula?
Y=b
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

45. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero
Same
2nd key - x^2 - graph

46. What are the calculator instructions for the cube root function?
Even
Math 4 x - graph
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?

47. What shape is the standard quadratic function?
Equation of a line
As equations
Cannot be drawn in quizlet
Parabola

48. What is a constant function?
(-infinity - +infinity)
X=a
F(x+c) and f(x-c)
F(x^1)=f(x^2)

49. Of the seven of algebra's common graph's how many are neither?
Parraelle line
F(x) = x
Negative slope
Square Root

50. What is the formula for the square root function?
Math 4 x - graph
45 degree angle
Only one
F(x)=suare root of x