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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. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Any set of ordered pairs
Horizontal
Y=x - identity function

2. What are the four steps for solving a linear equation?
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
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.

3. What is a relation?
In a quotient
As many as you like
Square Root
Any set of ordered pairs

4. y=f(cx) What does this formula represent?
C>1 - horizontal shrinking
0<c<1 - horizontal stretching
F(x^1)=f(x^2)
(-infinity - +infinity)

5. What is the formula for an absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
F(x)=IxI
(-infinity - +infinity)

6. x= a real number is what type of equation?
Y=x^2 - graph
Square Root
Approach neg toward x through zero and above positive close to x
Conditional

7. Is the standard cubic function odd - even or neither?
Odd
Y=b
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph

8. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Conditional
Y
Horizontal

9. What is the formula for to calculate the difference of a quotient function?
(-infinity - 0]you[0 - +infinity)
Identity
F(x+h)-f(x)/h h cannot equal zero
No because you cannot have one domain pointing at two y's or ranges

10. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points
No because you cannot have one domain pointing at two y's or ranges

11. What is a relation?
Y= then enter the number then press graph
Any set of ordered pairs
The secant line
Cannot be drawn in quizlet

12. What is a range?
Equation of a line
Y=x^2 - graph
(-infinity - +infinity)
The second set of components of an ordered pair

13. Is an identity function even - odd or neither?
Identity
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
Odd
Identity

14. What is the domain for the standard cubic function?
Conditional
Y=x^2 - graph
Yes because two x's or domains can point to one y
(-infinity - +infinity)

15. What are the calculator instructions for the cube root function?
Math 4 x - graph
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.
Horizontal right
As many as you like

16. What shape is the standard quadratic function?
The first set of components of an ordered pair
Parabola
M
Same

17. What is a domain?
(-infinity - +infinity)
The first set of components of an ordered pair
Cannot be drawn in quizlet
The second set of components of an ordered pair

18. What is the domain for a standard quadratic function?
(-infinity - +infinity)
The opposite coordinates
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)=+c and f(x)-c

19. x=no real numbers is what type of an equation?
Inconsistant
F(x^1)=f(x^2)
Set the x and y to zero and get the intercepts and then plot the points
Square Root

20. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
Y
(-infinity - 0]you[0 - +infinity)

21. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Undefined slope
Yes - all the domains points to one range
Yes because two x's or domains can point to one y
Y=10

22. What is the formula for an absolute value function?
F of g and g of f
F(x+c) and f(x-c)
Equation of a line
F(x)=IxI

23. What is the formula for the cube root function?
Odd
F(x)=3 square root x
Same
Identity

24. What type of slope do you have when a line falls left to right and m<0?
X^2
The opposite coordinates
Horizontal
Negative slope

25. What type of line is a constant function?
Horizontal
Cannot be drawn in quizlet
2nd key - x^2 - graph
X = the original sale price and the formula is x - .40x =$276

26. What is the slope of a perpendicular line?
Any set of ordered pairs
F(x)=3 square root x
Negative inverse
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

27. What is another way of writing the absolute value function?
C>1 - horizontal shrinking
Parraelle line
Y=IxI
(-infinity - +infinity)

28. What is the domain and range of a constant function?
The first 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
Y=x^2 - graph
(-infinity - +infinity)

29. What type of line is an identity function?
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
45 degree angle

30. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Square Root
F(x+c) and f(x-c)
F(x) = x

31. What is the range for a standard quadratic function?
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x
(-infinity - 0]you[0 - +infinity)

32. What is a function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Horizontal right
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

33. How do you graph Ax+By+C=0?
1 -2 -3
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
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

34. How do you graph Ax+By+C=0?
Because the demintor of a quotient can never equal zero
X^2
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points

35. What type of line is a constant function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]you[0 - +infinity)
A V
Horizontal

36. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
(-infinity - +infinity)
45 degree angle
Down

37. What is the domain for an absolute value 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
X2-x1 because the demonaitor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

38. What is the domain of an identity function?
No because you cannot have one domain pointing at two y's or ranges
Conditional
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

39. What type of slope do horizontal lines have?
Same
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
Yes - all the domains points to one range

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

41. What does linear equation mean?
Equation of a line
A V
X=a
Undefined slope

42. What is the point slope formula and when do you use it?
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

43. What is the range for a standard quadratic function?
Parabola - up one and right three
Horizontal left
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points

44. What is the formula for to calculate the difference of a quotient function?
Parraelle line
F(x+h)-f(x)/h h cannot equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
No because you cannot have one domain pointing at two y's or ranges

45. What is the standard quadratic function?
Even
X^2
Conditional
Cannot be drawn in quizlet

46. What is the domain for the standard cubic function?
(-infinity - +infinity)
F(x^1)=f(x^2)
In a quotient
When does a graph not define y as a function of x?

47. What is the slope of a perpendicular line?
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
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph
Negative inverse

48. 4(x-7)=4x-28 is what type of an equation?
Identity
A line passing through two distinct points
Conditional
F(x^1)=f(x^2)

49. What are the four steps for solving a linear equation?
(-infinity - +infinity)
Zero slope
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.
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.

50. What is a domain?
M
X^2
F(x)=3 square root x
The first set of components of an ordered pair