November 23, 2015
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Transcript of November 23, 2015
Today:
Prepare for Test Tomorrow Prepare for Test Tomorrow Prepare for Test Tomorrow Prepare for Test Tomorrow
November 23, 2015
News & Notes1. Test #2 will be tomorrow. A calculator is recommended, but not absolutely necessary, (If you like doing long division).2. The test will focus primarily on literal
equations, but will also include: a. Additive & Multiplicative Inverses b. Factoring c. Distance and/or area/perimeter problems
News & Notes3. Amnesty week at the Khan Academy.
You have until the 29th to complete any topics that you have missed for the three weeks in the 2nd quarter. After the 29th, I will not be checking those topics again for mastery.4. Please do yourself a favor and do not take the test tomorrow lightly. Ask questions if you are not sure!!
Warm-Up: 15
problems
5. There is no class work today, but we are going to work some problems, so get comfortable and practice each and every one.
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=¿
𝟏𝟐
Now, what if we make the -10’s positive and leave
the rest:𝟏𝟎+𝟕−𝟑𝟏𝟎−𝟒+𝟐=¿𝟏𝟒
𝟖 =𝟕𝟒
Finally, let’s change every sign.
𝟏𝟎−𝟕+𝟑𝟏𝟎+𝟒−𝟐=¿𝟔𝟏𝟐=¿𝟏𝟐
Moral of the story: If you change one sign, you’ve got to change them all.
Simplify:
Solving Equations in Terms of a Variable
𝒍=𝟐𝒎−𝟐𝟏𝒏𝟔𝟔
Solving Equations in Terms of a Variable
Solve for x:
= + c
What is the LCD?
Solve 3(a + x) – b = d - 4cx for x. x =
Solve for x:
Solve for b:A = h(b + c)
2
The formula for the volume of a pyramid is V = Which equation solves the formula for h?
𝟏𝟑 𝒃𝒉
1. h = 3Vb
2.
h 3bV
h 3Vb
h V3b
𝟑 .
𝟒 .
Last Literal Equation
Write the decimal form of the reciprocal of -3
Additive & Multiplicative Inverses
-0.3
Five times the reciprocal of a number minus 9 is twice the opposite of negative three.
x = Simplify the Reciprocal : 6.3
0𝟏𝟎𝟔𝟑
Two numbers have different signs but are the same distance from zero. These numbers are called___________
5x3 – 10x2 – 15xFactoring:
Simplify : -2
2pq2 – 21p + 15q
Other:If you drive 180 miles in 2 ½ hours, what is your average speed?
R = 180/2.5 = 72 mph
𝟓𝟏𝟐𝟔
3. Simplify: 27x3y2 _9xy 3xy
+¿
𝒚=−𝟐 𝒙 −𝟑
𝟔𝒚=− 𝟐 𝒙+𝟑
𝟔
or