Math 8 Assessment: Building the Base

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Math 8 Assessment Building the Base
First Steps Forward
2
Warming Up

• What do complementary and Supplementary mean?
• What do the three angles of a triangle add up to?
• What do the four angles of a quadrilateral add up
  to?
• 4) What does absolute value mean?

Complementary adds to 90 Supp adds to 180
180
360
Distance from zero always positive or 0
NEVER negative!
3
More Warm Ups

• You know you are going to see this diagram. What
  do you know about
• All the acute angles?
• All the obtuse angles?
• One obtuse and one acute angle?

They are all
They are all
They add up to 180
4
Still Getting Loose

• What is a monomial? Binomial? Trinomial?
  Polynomial?
• What is the correct strategy for each equation
  type below
• 3w 1 7w 17
• 5f 3f 1 15
• 4(2d 5) 100

Monomial has 1 term (5x) binomial has two (3q
7) trinomial ahs 3 terms (x2-4x1) polynomial is
2 or more.
Opposite side opposite operation
Same side same operation
Distribute
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Stretching the Old Brain ..

• When do you use the Pythagorean Theorem? What
  does it say?
• What is the percent proportion?
• When you translate the verbal expressions more
  than and less than into algebraic expressions,
  what do you have to be careful to do?

In a rt triangle leg2 leg2 hyp2
part (is) 100 Whole (of)
Switch the order . 2 less than x is x - 2
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Almost Ready to Rock .

• What do vertical angles look like and what do we
  know about them?
• How does each transformation (reflection,
  rotation, translation, dilation) act?

They make an X and are always equal to
eachother.
Reflection flips. Rotation turns. Translation
moves left/right and up/down. Dilations expand
or shrink proportionally.
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Lets Get Ready to Rumble!!!!!!!!

• Are you ready for the two main equation types you
  will see? Solve each.
• TYPE 1 TYPE 2
• 3n 2n 11 34 5 3w 4w - 23

• 3w 3w
• 7w 23
• 23 23
• 28 7w
• 4 w

5n - 11 34 11 11 5n 45
n 9
Opposite Side. Opposite Operation.
Same Side. Same Operation.
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Assessment Test Examples
In the diagram below, lines l and k are
parallel.Part AWhat is the value of x ?Show
your work.Part BWhat is the measure, in
degrees, of ? ABC ?                            
                   
Both angles are obtuse, so they are equal. x 95
4x 10 105 3x 35 95
130 -x -x 35 x mltABC
180 130 95 3x 10
50
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You Know the Parallel Lines w/ Equation Questions
are Coming.
In the figure below, line m is parallel to line
n. Line p is a transversal.What is the measure
of ltABC.Show your work.                      
                                          
4w 40 w 115 -w -w 3w 40 115
- 40 - 40 3w 75 w 25
mltABC 4(25) 40 140
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In 2006, They Had This Equation
Solve for x in the equation below.   2(3x - 4)
- 7 3x 1 x
6x 8 7 4x 1 6x 15 4x 1
-4x -4x 2x - 15 1
15 15 2x 16
x 8
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They Love Those Geometry Ones
In the diagram below, JL intersects KM at point
K.What is the measure of ltJKM? A.  30 B. 
60 C.  120 D.  180
x 2x 180 3x 180 x 60 MltJKM 60.
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Temperature Formula Question
Katie converts the outside temperature from
degrees Fahrenheit, F, to degrees Celsius, C. She
uses the formula below to convert the
temperature.   
If the outside temperature is 50 degrees
Fahrenheit, what is the outside temperature in
degrees Celsius? A.  2 B.  5 C.  9 D.  10
Use the formula on the formula sheet. C 5/9 (F
32) C 5/9 (50 32)
5/9 (18) 10
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You Better Know This One!!!!!
A window washer leans a ladder up against a wall
so that the top of the ladder touches the base of
the window, as shown below. The bottom of the
ladder is 15 feet from the wall, and the base of
the window is 26 feet from the ground. What is
the length of the ladder to the nearest foot?
152 262 h2 225 676 h2 901 h2 30 h
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You Have This One In The Bag ? !
What is the length, in centimeters, of side x in
the right triangle below?                      
               A.  8 B.  12 C.  15 D.  21
15. Pythagorean Thm. 92 122 x2 81 144
x2 225 x2 15 x
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Algebra 40 of the Test
Simplify the expression below.12 xy - 15 x 6
xy A.  -9 xy B.  3 xy C.  18 xy - 15 x D.  6
xy - 15 x
Use Poppas Bucket Principle. C .. 18xy 15x
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Parallel Lines Are Everywhere
In the diagram below, line f and line h are
parallel, and line n is a transversal.Which
term expresses the relationship between lt 1 and lt
8?                                               
     A.  adjacent B.  congruent C. 
supplementary D.  complementary
They are congruent because they are both obtuse.
They are also alternate exterior angles.
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Dont Miss The Easy Ones
What is the sum of (3 3) 2 and 2 3 ? A.  18
B.  20 C.  26 D.  44
(3 3)2 23 36 8 44 Choice D
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Buckets Buckets of Algebra!
Simplify the expression below.(3x3 2x2 - 5x)
(-8x3 3x) A.  -11x3 2x2 - 2x B.  11x3 -
2x2 8x C.  -5x3 2x2 - 2x D.  5x3 - 2x2 - 8x
Poppas Bucket Principle. There are -5x3, 2x2
and -2x. So .. the answer is C
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About 10 of the Test is About Numbers.
Sarah earned a 4 commission on all of her sales
in March. Her total sales were 80,000 in March.
How much money did she earn from commissions?
A.  320 B.  3,200 C.  32,000 D.  320,000

• part (is)
• whole (of)
• 4 n
• 80,000
• 100 n 320,000 n 3,200

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Another Cant Miss Question
In order to purchase a new CD player, Rosa must
save at least 85.00. What inequality represents
the amount of money, m , Rosa must save? A.  m
85.00 B.  m lt 85.00 C.  m 85.00 D.  m gt
85.00
At least means that size or bigger (greater is
bigger.) Choice C.
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Parallel Lines Are Everywhere!!!!!
In the diagram below, line r and line t are
parallel, and line p is a transversal.Which
angles are supplementary?                       
                           A.  lt 1 and lt 3 B. 
lt 1 and lt 2 C.  lt 3 and lt 6 D.  lt 3 and lt 4
lt1 and lt 2 are supplementary (add up to 180.) One
reason is that they form a straight lines
(180). Another is that one is acute and the
other obtuse, and (with parallel lines cut by
transversal), that means they add up to 180.
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Tricky But Not Too Hard
Bruce needs 30 five-foot pieces of rope for a
school project. The hardware store sells rope by
the yard. How many yards of rope will Bruce need
to purchase? A.  10 B.  30 C.  50 D.  75
30 x 5 150 ft of rope. 150 / 3 50 yards.
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Algebra. Geometry. Percent.To Do Well, You Must
Know Thee.
The transportation department recommends
increasing highway tolls by 20 to raise money
for road repairs. The current highway toll is
1.50. What will be the new toll after the 20
increase?

• part (is)
• whole (of)
• 20 n
• 100 1.50
• 100 n 30.00
• n .30 1.50 0.30 1.80

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How Do Most People Drown? Panic.This is Easy.
Just Relax and Do It.
For a homework assignment, Sarah must draw a line
passing through the points (3, 3) and (3,
3).Graph Sarahs line on the grid below.
                                                 
The Next Slide Has the Answer.
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How Do Most People Drown? Panic.This is Easy.
Just Relax and Do It.
For a homework assignment, Sarah must draw a line
passing through the points (3, 3) and (3,
3).Graph Sarahs line on the grid below.
                                                 
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Unit Price Questions Are Common
Eliana and her sister are comparing the prices of
two brands of cereal. Toasty Oats costs 2.25 for
a 15-ounce box. Crunchy Oaties costs 3.90 for a
30-ounce bag.A What is the price per ounce of
the Toasty Oats?Show your work.B How much
more expensive is Toasty Oats per ounce than
Crunchy Oaties?
You need to divide by ounces. Toasty Oats are
0.15 per ounce. Crunchy Oaties are 0.13 per
ounce. Toasty Oats in 2 cents more per ounce or
0.02 more per ounce.
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Function Relationship Tables
The table below shows the number of chaperones, y
, needed for a certain number of students, x , at
a school dance.Write an equation that
represents the relationship between the number of
chaperones needed and the number of students
attending a dance.How many chaperones will be
needed for a dance that has 240 students?
If you divide the number of stidents (x) by 8 you
get the number of chaperones (y). So y
x/8 240/8 30 chaperones for 240 students.
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Did I Mention Geometry Would Be IMPORTANT!
Two lines intersect at point B, as shown
below.A What is the value of x ?Show your
work.B What is the measure, in degrees, of
ltABC?
x 15 2x -x - x 15 x mltABC
2x 2(15) 30
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Last But Not Least More Geometry
Trapezoid MNOP is plotted on the grid below.A
On the grid, draw the image of trapezoid MNOP
after a reflection over the y -axis. Label the
new trapezoid MNOP.B Explain how you
determined the location of point M.
Next slide for answer.
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Last But Not Least More Geometry
Trapezoid MNOP is plotted on the grid below.A
On the grid, draw the image of trapezoid MNOP
after a reflection over the y -axis. Label the
new trapezoid MNOP.B Explain how you
determined the location of point M.
You should label the points, too. I counted the
distance to the y axis and repeated it to find M.
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Congratulations! Step One Complete.

• By completing this PowerPoint Presentation, you
  have exercised your brain with the basic
  questions that the State Assessment will feature.
  Now you have to check and see if you are ready
  to jump ahead or if you need a bit more practice.
  
• If you got 17 or more of these questions right,
  you should do Assessment Three.
• There is no shame in not getting 17 right few
  of you will on the first try. Try Assessment
  Basics II before going on to Assessment Three
  later.