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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. What are the calculator instructions for a standard quadratic equation?
Only one
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
[0 -+infinity)

2. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
No because you cannot have one domain pointing at two y's or ranges
Math 4 x - graph
Y=10
X = the original sale price and the formula is x - .40x =$276

3. Two vertical lines side by side are a symbol for what
F(x) = x
The slope of a line containing two points
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
Parraelle line

4. Which direction does f(x+c) move
45 degree angle
Horizontal left
(-infinity - +infinity)
(-infinity - +infinity)

5. What is another way to write f(x)=x - what type of function is this?
X^2
As equations
The minimum or maximum points
Y=x - identity function

6. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1
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.
A V

7. 4x+5x=8x is what type of an equation?
Because the demintor of a quotient can never equal zero
Conditional
(-infinity - +infinity)
(-infinity - +infinity)

8. What type of slope do horizontal lines have?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal left
Same
Yes - all the domains points to one range

9. What is the range for the standard cubic function?
Three odd - cube root - identity - standard cubic
Y=b
Y=x^2 - graph
(-infinity - +infinity)

10. What is the average rate of change formula?
Line ascending to the right gradually
Y=x - identity function
X math 3 graph
F(x2)-f(x1) / x2-x1

11. 4(x-7)=4x-28 is what type of an equation?
Parraelle line
Identity
Y=x - identity function
Yes because two x's or domains can point to one y

12. x=all real numbers is what type of an equation?
Any set of ordered pairs
Identity
F(x)=3 square root x
[0 -+infinity)

13. What type of line is a constant function?
A line passing through two distinct points
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph

14. A flat line underlining one vertical line is a symbol for...
F(x^1)=f(x^2)
Equation of a 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.
Perpendicular line

15. x= a real number is what type of equation?
Conditional
Zero slope
Zero slope
Line ascending to the right gradually

16. What are the four steps for solving a linear equation?
In a quotient
F of g and g of f
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)

17. What is the vertical line formula?
X=a
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+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates

18. x=no real numbers is what type of an equation?
Inconsistant
X^2
Undefined
20+.05x=5+.10x x=minutes

19. What shape is the standard quadratic function?
Y=x^2 - graph
Parabola
(f+g) - (f-g) - (fg) - (f/g) all of x
Any set of ordered pairs

20. What is the domain of the cube root function?
(-infinity - 0]you[0 - +infinity)
Any set of ordered pairs
[0 -+infinity)
(-infinity - +infinity)

21. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Y=b
Any set of ordered pairs

22. How do you graph Ax+By+C=0?
The opposite coordinates
Set the x and y to zero and get the intercepts and then plot the points
F(x)=IxI
(-infinity - +infinity)

23. Is an absolute value function even - odd or neither?
4 -6 -9
Y=x^2 - graph
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

24. What can never equal zero in the slope formula and why?
[0 -+infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
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.
Conditional

25. 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
Undefined
Yes - all the domains points to one range
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

26. Which direction does f(x+c) move
Cannot be drawn in quizlet
Zero slope
Horizontal left
2nd catalog (zero key -) abs(x) - graph

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Even
C>1 - horizontal shrinking
4 -6 -9
Odd

28. Is an absolute value function even - odd or neither?
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even
Piecewise

29. What is the formula for an identity function?
F(x) = x
A line passing through two distinct points
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

30. What does the standard cubic function look like on a graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs

31. What is the formula for the standard cubic function?
Negative slope
Approach neg toward x through zero and above positive close to x
A V
F(x)=x^3

32. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
Inconsistant
Up

33. Draw or discuss a constant function
Yes - all the domains points to one range
The slope of a line containing two points
Cannot be drawn in quizlet
(-infinity - +infinity)

34. What is the range of a square root function?
Even
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)

35. 4(x-7)=4x-28 is what type of an equation?
Identity
Yes - all the domains points to one range
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd

36. What type of slope do you have when a line rises from left to right and m>0?
Even
Postiive slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Inconsistant

37. What is the horizontal line formula?
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
F(x)=x^3
Y=b
2nd key - x^2 - graph

38. What is the slope of a perpendicular line?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Only one
Horizontal left
Negative inverse

39. How many ranges can you have for each domain?
Only one
Horizontal
Identity
Postiive slope

40. Draw or discuss a decreasing function
Cannot be drawn in quizlet
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.
The opposite coordinates
Y=x - identity function

41. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
C>1 - horizontal shrinking
F(x)=3 square root x
The opposite coordinates
4 -6 -9

42. What type of line is a constant function?
Horizontal
Math 4 x - graph
A line passing through two distinct points
M

43. Is a constant function even - odd or neither?
Even
X math 3 graph
When does a graph not define y as a function of x?
As equations

44. What is the range of the cube root function?
X math 3 graph
Yes - all the domains points to one range
(-infinity - +infinity)
As many as you like

45. What is slope?
Set the x and y to zero and get the intercepts and then plot the points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. Is the standard cubic function odd - even or neither?
Odd
Neither
The first set of components of an ordered pair
The second set of components of an ordered pair

47. Is a standard quadratic function even - odd or neither?
1 -2 -3
Horizontal left
Even
Inconsistant

48. What is the formula for the square root function?
F(x+c) and f(x-c)
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.
F(x)=suare root of x
Undefined

49. standard absolute value - horizontal shift formulas for left and right
No because you cannot have one domain pointing at two y's or ranges
Approach neg toward x through zero and above positive close to x
F(x+c) and f(x-c)
Math 4 x - graph

50. What is the vertical line test?
When does a graph not define y as a function of x?
Negative slope
Zero slope
20+.05x=5+.10x x=minutes