this

1. Today:

4. Solving Equations in Terms of a Variable
-10 + 7 – 3
-10 – 4 + 2
Before we begin, let’s determine one more truth about numbers:
−𝟔
−𝟏𝟐
=
𝟏
𝟐
Now, what if we make the -10’s
positive and leave the rest:
𝟏𝟎 + 𝟕 − 𝟑
𝟏𝟎 − 𝟒 + 𝟐
= 𝟏𝟒
𝟖
=
𝟕
𝟒
Finally, let’s change every sign.
𝟏𝟎 − 𝟕 + 𝟑
𝟏𝟎 + 𝟒 − 𝟐
=
𝟔
𝟏𝟐
=
𝟏
𝟐
Moral of the story: If you
change one sign, you’ve got to
change them all.
Simplify:

5. Solving Equations in Terms of a Variable
𝒍 =
𝟐𝒎 − 𝟐𝟏𝒏
𝟔𝟔

6. Solving Equations in Terms of a Variable
Solve for x:
𝒂
𝒙
=
𝒃
𝟐𝒙
+ c
What is the LCD?
Solve 3(a + x) – b = d - 4cx for x. x =
𝒅+ 𝒃 −𝟑𝒂
𝟒𝒄+𝟑
Solve for x:
Solve for b:
A = h(b + c)
2

7. The formula for the volume of a pyramid is V =
Which equation solves the formula for h?
𝟏
𝟑
𝒃𝒉
1. h = 3Vb
2. h 
3b
V
h 
3V
b
h 
V
3b
𝟑.
𝟒.

8. Write the decimal form of the reciprocal of -3
𝟏
𝟑
Additive & Multiplicative Inverses
-0.3
Five times the reciprocal of a number minus 9 is
twice the opposite of negative three. x =
𝟏
𝟑
6.30
𝟏𝟎
𝟔𝟑
Two numbers have different signs but are the same
distance from zero. These numbers are called___________

9. 5x3 – 10x2 – 15xFactoring:
-2
𝟏
𝟐𝒙
2pq2 – 21p + 15q
Other:
𝟓
𝟏𝟐𝟔
3. Simplify: 27x3y2 _9xy
3xy
+

11. 𝒚 =
−𝟐𝒙 − 𝟑
𝟔
𝒚 = −
𝟐𝒙 + 𝟑
𝟔
or