Download Review: Chapter 8

Review: Chapter 8
Sept 17, 2014
1
Which of these numbers are
a. Integers
b. Rational numbers
c. Irrational Numbers
d. Real
{ -3, -1.6, 2.5, 11/2, 15.1, √5, 2π }
{ -3, -1.6, 2.5, 11/2, 15.1, √5, 2π }
Integers: -3,
Rational: -3, -1.6, 2.5, 11/2, 15.1 (all integers are
rational numbers)
Irrational: √5, 2π
Real: all the numbers in the set
68 – 5 • 23 =
68 – 5 • 23 = 28
8 + 3(2• 6 – 1) =
41
5 [ 3(2+5)-5] =
80
[4 + | 6 – 2| + 82] / (4 + 6 • 4) =
18/7
True or false: the quotient of 9 and 2 is greater
than -5
true
The expression 360 – a – b – c represents the
measure of an unknown angle of a quadrilateral.
Replace a with 93, b with 80 and c with 82 to
find the measure of the unknown angle.
105
Is 1 a solution of
3x2 + 4 = x – 1?
no
Find the additive inverse of
-1/3 – 1/4
-1/3 – 1/4 = -4/12 – 3/12 = -7/12
Additive inverse is 7/12
Find the additive inverse of 1/16 + (-1/4)
Find the additive inverse of 1/16 + (-1/4)
1/16 + (-1/4) = -3/16
Inverse is 3/16
Find the additive inverse of
[-5 – (-2-3)] /(4-9)
[-5 – (-2-3)] /(4-9) = 0/(-5)
0
Zero is its own additive inverse
Find the additive inverse of
-2.8 + 6.7
Find the additive inverse of
-2.8 + 6.7 = 3.9; additive inverse is -3.9
Find the value of
[11 – (-9) + 6(8 – 2)]/(2 + 3•4)
[11 – (-9) + 6(8 – 2)]/(2 + 3•4)
[11 + 9 + 36] / 14=
56/14 =
4
If x = 3 and y = -6 find
|y – 4x| / (2x)
If x = 3 and y = -6 find
|y – 4x| / (2x)
|-6 – 12|/6=
3
Find the multiplicative inverse
(-18)/(-6)
(-18)/(-6) = 3
Inverse is 1/3
Write as an equation:
Twice the sum of a number and 2.8 added to
three times the number
Twice the sum of a number and 2.8 added to
three times the number
2 (n + 2.8) + 3n
(-4/5) ( 5/16) =
-1/4
A number times its multiplicative inverse equals
______
36
1
37
-0.5(-0.3) =
0.15
8÷4•2=
8÷4•2=
2•2=
4
[-15 + (-4)2 + |-9|] / (10 - 2• 5) =
undefined
Simplify
8 + 2(9x – 10) =
8 + 2(9x – 10) =
8 + 18x – 20 =
18x - 12
Evaluate for x = -2
8 + 2(9x – 10) =
Evaluate for x = -2
8 + 2(9x – 10) =
8 + 2(-18 – 10) =
8 – 2(28)
= -48
Evaluate for x = -3
1/3 (4x + 1/3 x ) =
48
Evaluate for x = -3
1/3 (4x + 1/3 x ) =
1/3 ( 4(-3) + 1/3 (-3)) =
1/3 ( -12 – 1) =
-13/3
49
The sum of a number and its additive inverse is
___.
50
zero
51
Evaluate for x = 2
x–2
x+3
52
Evaluate for x = 2
2–2
2+3
=0
53
Is ¼ a solution of the following:
3x + 5(2 + x ) = 12
54
Is ¼ a solution of the following:
3(1/4) + 5(2 + 1/4 ) = 12
8/4 + 10 =
2 + 10 = 12
Yes
55
If we don’t wish to divide, we can multiply by the
_____.
56
Reciprocal
57
Evaluate for x = -3
2x–4
3/2
58
Evaluate for x = -3
2 (-3) – 4
3/2
= -10 (2/3) =
-4
59
Subtracting is the same as adding the______.
60
Additive Inverse
61