1. At a local community college, it costs $350 to enroll in a morning section of algebra course. Suppose
that the variable n stands for the number of students who enroll. The 350n stands for the total amount
of money collected for this course. How much is collected if 33 students enroll?, 83 students? 240
students.
Solution:
Total amount collected if 33 students enroll = 350*33 = $11550
Total amount collected if 83 students enroll = 350*83 = $29050
Total amount collected if 240 students enroll = 350*240 = $84000
2. Substitute to find a value of the expression.
The area A of a triangle with base b and height h is given by A = 1/2bh. Find the area when b = 15m
(meters) and h = 10m.
Solution:
A = 1/2bh = (1/2)*15*10 = 75 square meter
3. A drivers at a speed of r mph for t hr will travel a distance d mi given by d = rt mi. How far will a
driver travel at speed of 61 mph for 4 hr?
Solution:
Distance travelled d = rt = 61*4 = 244 mi
4. Translate to an algebraic expression = 6 less than b
Solution:
b-6
5. Translate to an algebraic expression = The sum of a and q
Solution:
a+q
6. Translate to an algebraic expression =45 Multiplies by y
Solution:
45y
7. Translate to an algebraic expression =Use x and y for any variables. The sum of four times a number
plus four times another number.
Solution:
4x + 4y
8. Translate to an algebraic expression =The product of 36% and some number. (Type the percentage
as a decimal. Use q to represent some number)
Solution:
0.36q
9. The deepest point of the Red Sea lies approximately 10,300 feet below sea level. What is the integer
that best expresses the given number? (Type a negative number with a negative sign, or type a positive
number with no sign)
Solution:
-10300
10. Graph the number on a number line = - 5/4
11. Use < or > to make the statement true. 11 < 19
12. Use < or > to make the statement true. 1 > 0
13. Add the following = - 95 + 95 = 0
14. Add the following = -1 + (-5) = -6
15. Find the opposite, or additive inverse of -39
Solution:
39
16. Find – x when x = 6/85 (Simplify your answer. Type a fraction)
Solution:
-6/85
17. In 1993, the elevation of an offshore well was -3190ft. In 1998, a new well was 310ft deeper. What
was the elevation of the new well in 1998?
Solution:
-3500
18. Kyle credit card is $510. Kyle sends a check to the credit card company for $86, charges another
$104 in merchandise, and then pays off another $217 of the bill. How much does Kyle owe the
company?
Solution:
$103
19. Subtract the following = -10 – (-1) = -9
20. Subtract = -2 -0= -2
21. Subtract the following 5.59 – (9) = -3.41
22. One day the temperature dropped from -2 o F to -16o F. How many degrees did it drop?
Solution:
14 degrees
23. A submarine at a depth of 1938ft ascends to a depth of 906ft. How far did the submarine ascend?
Solution:
1032
24. Multiply. = (-4)(10) = -40
25. Multiply. = (88)(81) – (Simplify your answer. Type an integer or a decimal.)
Solution:
7128
26. Evaluate = (-1)^11 – (Simply you answer.)
Solution:
-1
27. Suppose there is a 3-degree drop in temperature for every thousand feet that an airplane climbs
into the sky. If the temperature on the ground, which is at sea level, is 60 degree, what would be the
temperature when the plane reaches an altitude of 28,000ft?
Solution:
Temperature = 60 – 3*28 = -24
28. After diving 91m below the sea level, a diver rises at a rate of 6 meters per minutes for 10min.
Where is the diver in relation to the surface?
Solution:
31 m
29. Divide, if possible = 121/ (-11) = -11
30. Simplify, if possible = 0/-9.6 = 0
31. Find the reciprocal 6/7 (Simplify your answer)
Reciprocal = 7/6
32. Rewrite the division as a multiplication-46/96 (Do not simplify. Type a fraction)
Is it -46/96 if neative then -46*1/96
If positive 46/96 = 46*(1/96)
33. Divide if possible -4/12 / (-3/13) – (Simplify your answer, Type integer or a fraction)
Solution:
13/9
34. Use multiplying by 1 to find an expression equivalent to 6/11 with a denominator of 99y. (Do nor
simplify. Type a fraction)
Solution:
54y/99y
35. Use a commutative law to find an equivalent expression. =uv
Solution: vu
36. Multiply. = 15(q+8) = 15q + 120
37. Multiply. = -2(p-9) = -2p + 18
38. Factor 9u+63 = 9(u + 7)
39. Collect like terms. = 4s+20s – (Simplify your answer)
Solution: 24s
40. Collect like terms. = 18a +6b + 12a = 30a + 6b
41. Collect like terms. = 6/15x+2/15y-4/15x+9/15y - (Do not factor. Type coefficients as fractions.)
= 2/15x + 11/15y
42. Find an equivalent expression without parentheses = -(19a+98b-64)
= -19a – 98b + 64
43. Remove parentheses and simplify =
7h+3j -4(7h-4j+6k)
= 7h + 3j – 28h + 16j – 24k
= -21h + 19j -24k
44. Simplify = 5{[3(x-5) +15]-[2(5x -3) +4]} (Simplify your answer)
5{[3(x-5) +15]-[2(5x -3) +4]}
= 5{[3x-15 +15]-[10x - 6 +4]}
= 5{[3x]-[10x - 2]}
= 5(3x -10x + 2)
= 5(-7x + 2)
= -35x + 10
45. Simplify = [24 / (-3)] / (-1/9) = -8/(-1/9) = 72
46. Simplify = 15 . (- 25) – 61 = -375 – 61 = -436
47. Simplify = 3^3 + 17 . (6) – (8 + 5 . 7) = 27 + 102 –(8 + 35) = 129 – 43 = 86
48. Simplify = -4^2 + 9 = -16 + 9 = -7
49. Simplify = 5 * 10^4 – 5000 = 50000 – 5000 =45000