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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. 4(x-7)=4x-28 is what type of an equation?
Y=x - identity function
Horizontal right
Negative slope
Identity

2. In an identity function if f(10)=x than What is y?
Y=10
Horizontal
Y
M

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
Piecewise
F(x)=suare root of x
Odd

4. What is a domain?
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic
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.
Even

5. What does linear equation mean?
F(x) = x
The minimum or maximum points
X is the hours to repair the boat. $1603-532=anwser/63 = x
Equation of a line

6. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Same
Conditional
A V

7. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
1 -2 -3
F(x^1)=f(x^2)
Negative slope

8. Is the standard cubic function odd - even or neither?
Up
Undefined
Odd
Three odd - cube root - identity - standard cubic

9. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
F(x)=x^3
F(x2)-f(x1) / x2-x1
Up

10. What is the domain of a square root function?
[0 -+infinity)
Odd
20+.05x=5+.10x x=minutes
2nd catalog (zero key -) abs(x) - graph

11. What is the range of the cube root function?
F(x) = x
The single number y=
Only one
(-infinity - +infinity)

12. In an identity function if f(10)=x than What is y?
Because the demintor of a quotient can never equal zero
Y=10
No because you cannot have one domain pointing at two y's or ranges
F(x)=suare root of x

13. y=f(cx) - What does this formula represent?
45 degree angle
F(x+h)-f(x)/h h cannot equal zero
C>1 - horizontal shrinking
Only one

14. What is the average rate of change formula?
Even
Y=x - identity function
Y=x^2 - graph
F(x2)-f(x1) / x2-x1

15. How many ranges can you have for each domain?
(-infinity - +infinity)
Y=x^2 - graph
Only one
Conditional

16. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
[0 -+infinity)
Negative inverse

17. What direction does f(x)-c move in standard absolute value formula?
2nd key - x^2 - graph
Cannot be drawn in quizlet
Down
The minimum or maximum points

18. What are the steps for solving a word problem?
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero
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 of g and g of f

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
X = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range
F(x)=x^3
(-infinity - 0]you[0 - +infinity)

20. What is the range for an absolute value function?
Horizontal left
(-infinity - 0]you[0 - +infinity)
Y=IxI
A line passing through two distinct points

21. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

22. 4x+5x=8x is what type of an equation?
X^2
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional
Y=10

23. x=no real numbers is what type of an equation?
The secant line
Inconsistant
4 -6 -9
Conditional

24. What type of line is an identity function?
45 degree angle
Zero slope
Undefined slope
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

25. What is the horizontal line 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
20+.05x=5+.10x x=minutes
Equation of a line
Y=b

26. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
M
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph

27. What is a relation?
Any set of ordered pairs
Equation of a line
F(x^1)=f(x^2)
Conditional

28. 4(x-7)=4x+28 is what type of an equation?
Yes - all the domains points to one range
F(x+h)-f(x)/h h cannot equal zero
Inconsitent
Approach neg toward x through zero and above positive close to x

29. x=all real numbers is what type of an equation?
F(x)=+c and f(x)-c
Horizontal right
Identity
X = the original sale price and the formula is x - .40x =$276

30. 4(x-7)=4x+28 is what type of an equation?
Conditional
Identity
Inconsitent
Inconsistant

31. y=f(cx) - What does this formula represent?
The secant line
C>1 - horizontal shrinking
A V
Equation of a line

32. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Horizontal
The minimum or maximum points
Identity

33. What is the horizontal line formula?
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=IxI
Y=b

34. What type of slope do you have when a line falls left to right and m<0?
Negative slope
F(x^1)=f(x^2)
F(x)=+c and f(x)-c
A V

35. What is the range for an absolute value function?
Piecewise
M
(-infinity - 0]you[0 - +infinity)
F(x)=IxI

36. What is another way to write f(x)=x - what type of function is this?
Odd
Y=x - identity function
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

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

38. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Equation of a line
X=a
Parabola - up one and right three

39. What is the formula for slope?
In a quotient
Y=10
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

40. What is the slope of a perpendicular line?
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V
Negative inverse

41. Draw or discuss an increasing function
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsistant
(-infinity - +infinity)
Cannot be drawn in quizlet

42. What is the range of an identity function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
Parraelle line

43. What type of slope do vertical lines have?
45 degree angle
Yes - all the domains points to one range
Undefined
45 degree angle

44. How are functions normally written?
(-infinity - +infinity)
As equations
Because the demintor of a quotient can never equal zero
Math 4 x - graph

45. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
2nd key - x^2 - graph
1 -2 -3
X = the original sale price and the formula is x - .40x =$276
M

46. What is the formula for to calculate the difference of a quotient function?
20+.05x=5+.10x x=minutes
X2-x1 because the demonaitor of a quotient can never equal zero
X=a
F(x+h)-f(x)/h h cannot equal zero

47. What is the domain for the standard cubic function?
F(x)=3 square root x
(-infinity - +infinity)
F(x)=3 square root x
Y=x^2 - graph

48. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
2nd key - x^2 - graph
Cannot be drawn in quizlet
2nd key - x^2 - graph
X = the original sale price and the formula is x - .40x =$276

49. $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?
As equations
No because you cannot have one domain pointing at two y's or ranges
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
Yes because two x's or domains can point to one y

50. Draw or discuss a constant function
X2-x1 because the demonaitor of a quotient can never equal zero
Function notation
Parraelle line
Cannot be drawn in quizlet