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Basic Math Concepts #2 (Calc & Pre-Calc):  Non-Calc (Please show all work on yo



 1. 

Determine the average rate of change for the function mc001-1.jpg between the mc001-2.jpg and mc001-3.jpg.
 
 
Find the sum or difference. Write the answer in simplest form.
 

 2. 

mc002-1.jpg
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 

mc003-1.jpg
 
 
Find the quotient. Write the answer in simplest form.
 

 4. 

mc004-1.jpg
 
 
Factor the polynomial completely.
 

 5. 

mc005-1.jpg
 

 6. 

mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 
 
Find the difference.
 

 7. 

mc007-1.jpg
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 

The graph of a function is sketched below.

mc008-1.jpg

Determine the interval on which the function is decreasing.
a.
mc008-2.jpg
b.
[–3, –1]
c.
[1, 3]
d.
[–1, –1]
e.
mc008-3.jpg
 

 9. 

Determine the interval on which the function in the graph below is decreasing.

mc009-1.jpg
a.
[6, 10]
b.
[–7, –3]
c.
[–2, 7]
d.
[–3, 6]
e.
[4, –1]
 

 10. 

An arch can be modeled by nr010-1.jpg, where x and y are measured in meters. The x-axis represents the ground. Find the width (in meters) of the arch at ground level.
nr010-2.jpg

 
 
Solve the equation.
 

 11. 

mc011-1.jpg
a.
b  =  mc011-2.jpg
c.
b  =  mc011-4.jpg
b.
b  =  mc011-3.jpg
d.
b  =  mc011-5.jpg
 

 12. 

mc012-1.jpg
 

 13. 

mc013-1.jpg
 

 14. 

mc014-1.jpg
 

 15. 

mc015-1.jpg
a.
x  =  0
c.
x  =  –3
b.
x  =  6.7
d.
x  =  3
 
 
Find the zeros of the function.
 

 16. 

mc016-1.jpg
a.
–12, 20
c.
–1, 2, 10
b.
2, 10
d.
–10, –2
 

 17. 

mc017-1.jpg
a.
2, 6
c.
–6, –2
b.
mc017-2.jpg12
d.
mc017-3.jpg2, 6
 
 
Factor the polynomial completely.
 

 18. 

mc018-1.jpg
 

 19. 

mc019-1.jpg
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 
 
Find the sum or difference. Write the answer in simplest form.
 

 20. 

mc020-1.jpg
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 

 21. 

mc021-1.jpg
 
 
Solve the equation.
 

 22. 

mc022-1.jpg
 

 23. 

mc023-1.jpg
 

 24. 

mc024-1.jpg
a.
d = mc024-2.jpg, d = mc024-3.jpg
c.
d = –2, d = –4
b.
d = mc024-4.jpg, d = mc024-5.jpg
d.
d = mc024-6.jpg, d = mc024-7.jpg
 
 
Find the sum.
 

 25. 

mc025-1.jpg
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 

 26. 

The graph of mr026-1.jpg is shown. Use the graph to identify the factors of mr026-2.jpg.
mr026-3.jpg
 a.
mr026-4.jpg
 d.
mr026-7.jpg
 b.
mr026-5.jpg
 e.
mr026-8.jpg
 c.
mr026-6.jpg
 

 27. 

What is the average rate of change of the function f (x) = x + x 2 between x = 0 and x = 5?
 

 28. 

What is the average rate of change of the function f (x) = 9 – 5x between x = 1 and x = 2?
a.
–4
b.
–7
c.
–5
d.
–8
e.
–6
 
 
Find the product.
 

 29. 

mc029-1.jpg
 

 30. 

mc030-1.jpg
a.
mc030-2.jpg
c.
mc030-4.jpg
b.
mc030-3.jpg
d.
mc030-5.jpg
 

 31. 

mc031-1.jpg
a.
mc031-2.jpg
c.
mc031-4.jpg
b.
mc031-3.jpg
d.
mc031-5.jpg
 

 32. 

Which equation has a solution of mc032-1.jpg?
a.
mc032-2.jpg
c.
mc032-4.jpg
b.
mc032-3.jpg
d.
mc032-5.jpg
 

 33. 

Which statements are true about the function mr033-1.jpg?
 a.
The graph of the function is: mr033-2.jpg
 d.
The x-intercept is  –2.
 b.
The y-intercept is  2.
 e.
The y-intercept is  –2.
 c.
The graph of the function is: mr033-3.jpg
 f.
The x-intercept is  2.
 

 34. 

Which expression is different?
a.
mc034-1.jpg
b.
mc034-2.jpg
c.
mc034-3.jpg
d.
mc034-4.jpg
 

 35. 

A man is running around a circular track 200 m in circumference. An observer uses a stopwatch to time each lap, obtaining the data in the table as follows:

Time (s)
Distance (m)
30
200
68
400
114
600
168
800
230
1000
300
1200
378
1400

What was the man's average speed (rate) between 68 s and 168 s?
 
 
Simplify each expression.
 

 36. 

mc036-1.jpg
a.
mc036-2.jpg
c.
mc036-4.jpg
b.
mc036-3.jpg
d.
mc036-5.jpg
 
 
Find the value of each expression.
 

 37. 

mc037-1.jpg
a.
mc037-2.jpg
c.
mc037-4.jpg
b.
mc037-3.jpg
d.
mc037-5.jpg
 

 38. 

mc038-1.jpg
 

 39. 

Which expression is different?
a.
mc039-1.jpg
b.
mc039-2.jpg
c.
mc039-3.jpg
d.
mc039-4.jpg
 

 40. 

The graph of a function is sketched as follows:

mc040-1.jpg
 

 41. 

The graph shows the depth of water W in a reservoir over a one-year period, as a function of the number of days x since the beginning of the year. What was the average rate of change in W between x = 100 and x = 200?

mc041-1.jpg
 
 
Find the product.
 

 42. 

sa042-1.jpg
 
 
Find the product. Write the answer in simplest form.
 

 43. 

mc043-1.jpg
a.
mc043-2.jpg
c.
mc043-4.jpg
b.
mc043-3.jpg
d.
mc043-5.jpg
 
 
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
 

 44. 

mc044-1.jpg
 
 
Solve each equation.
 

 45. 

mc045-1.jpg
 
 
Choose the quadratic function in standard form whose graph satisfies the given condition(s).
 

 46. 

x-intercepts: –1 and –5
a.
mc046-1.jpg
c.
mc046-3.jpg
b.
mc046-2.jpg
d.
mc046-4.jpg
 



 
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