Transcript Slide 1

Practice Math 10C Final Exam
Review.
Write as an 3 3
4 entire radical
Root index tells us how many times the coefficient
Needs to be multiplied to itself to get back
Into the radical position.
33 4 
3
(27)(4) 
3
108
Expand and simplify: (8g – 3)(7-3g)
Use the foil method.
 56 g  24 g  21  9 g
2
 24 g  65 g  21
2
A sphere has a surface area of 10.1 m2. What is
the radius of the sphere to the nearest tenth of
a metre?
SA  4r 2
10.1  4r 2
10.1/ 4  (4r 2 ) / 4
2.525 /   (r 2 ) / 
0.8037  r 2
r 2  0.8037
r  0.89m  0.9m
2.3
m
the volume of this composite object, which is a right
cylinder and a hemisphere, to the nearest tenth of a cubic
metre
6.2m
V  4 / 3( )r 3
 4 / 3( )2.33
 50.965
Half the sphere
 50.965 / 2  25.48m
V  r 2 h
 (2.32 )(h)
 103.03m
The total volume is 25.48 + 103.03 = 128.52m
A straight section of an Olympic downhill ski
course is 34 m long. It drops 16 m in height.
Determine the slope of this part of the course.
m = rise/ run
m = -16/34 = -8/17
Solve this linear system
4x – 3y = 10
2x + 5y = 18
4x – 3y = 10
-4x – 10y = -36
-13y = -26
Use elimination:
Equation 2:
(-2) ( 2x + 5y = 18) = -4x – 10y = -36
y= 2
Telephone companies generally charge a flat monthly rate plus an amount that varies with
the number of minutes of long distance calls. The graph of the linear function used by a
phone company to calculate bills is shown in the diagram.
The equation of the linear function used by the telephone company described above is
a. C = 20n
b. C = 25n
c. C = 0.20 + 25
d. C = 0.25 + 20
The linear functions y = 5x - 3 and y = - 5x + 3 are graphed. The resulting lines
are most accurately described as
A.
being parallel to each other
B.
having the same y-intercept
C.
having the same x-intercept (x,0)
D.
being perpendicular to each other
An architect draws this diagram of a wheelchair entrance ramp for a building. Determine
the angle of inclination of the ramp to the nearest tenth of a degree.
tan   0.4 / 7.0
  tan 1 0.4 / 7.0
  tan 1 (0.057)
  3.3
Expand and simplify (-9m – 1) (5 + 8m)
Use FOIL
Evaluate
64
4
3
Negative exponent means fractions.
1
64
1
4
3
1
1


4
3
4
256
64
3
64
Joshua went on a bike ride. For part of the ride, Joshua stopped to
play in a park with a friend. Which segment of the graph best
describes this part of his bike ride?
This is a graph of the function
when the range value is 2
. Determine the domain value
X = ? ,Y = 2
2 = -3(x) + 2
0 = 3x
x=0
A display contains 40 disposable flashlights, some worth $1.19 and the remainder $1.27.
Determine the number of $1.27 flashlights if the total value of the flashlights is $49.76.
Equation 1
Equation 2
Cheaper Disposable (x)
x
1.19x
Expensive Disposable (y)
y
1.27y
Total
40
49.76
x + y = 40
1.19x + 1.27y = 49.76
Substitution rearrange equation 1. X = 40-y
1.19(40-y) + 1.27y = 49.76
47.60-1.19y + 1.27y = 49.76
47.60 +0.08y = 49.76
-47.60
-47.60
0.08y = 2.16
Y =27 disposable flashlight ($1.27)
Which power with a negative exponent is
equivalent to 1/8 ?
a. -2 -3
b. 3 -2
c. 2-3
d. (-2) 3
(11a + 5) (11a + 5)
Hint: If you forgot how to factor these polynomial, then do the foil method on the
choices given.
Two trees are 55 yd. apart. From a point
halfway between the trees, the angles of
elevation of the tops of the trees are
measured. What is the height of each tree to
the nearest yard?
Use trig.
Tan 29* = opp/27.5
0.5543 = opp/ 27.5
Opp = 0.5543(27.5)
Opp = 15 m
Ax + By + C = 0
A must be a whole number.
6(16w2 + 54w - 7)
Look at the answers, notice that there is a 6 factored out. This means you have to divide
all the terms by 6 before you factor.
Find slope for DN. Since the two lines are parallel, then the second line has the same slope.
m dn = y2 – y1/ x2 – x1
m = -4 – 3 / 12 – (-5) = -7/17
m = -8 – 6 / 24 – (-10) = -14/34 = -7 / 17
1 mi. = 1.6 km
354 mi x
1.6 km = 566.4 km
1 mi
Convert to
Y = mx+ b
Math trick
4(y+1) = 4(3/4)(x+3)
4y + 4 = 3(x+3)
4y +4 = 3x + 9
-4
-4
4y = 3x + 5
4y = 3x + 5
4 4 4
y = ¾ x + 5/4