Math 7 Level 2 Review

Slope&LinearEquations

100

Arlene is 2 years older than Rihaal.
Translate into "slope intercept form."
use  X  for  Rihaal.
use  Y  for  Arlene.

Y  =  X  +  2

200

You must pay $ 5.00 entrance fee at the carnival.
Each ticket costs  $ 2.75.
Use Y for your TOTAL spending.

Y  =   $ 2.75 X  + $ 5.00
or
Y  =   11/4  X  +  5

300

Translate into "slope intercept form."
X values =  2   ,  3  ,   - 1
Y values =  1  ,  1.5  ,  - 0.5

( 2 , 1 )    ( 3 ,  1.5  )    (  - 1  ,  - 0.5 )

Y  =   1/2 X
or

Y  =   X / 2

400

Write the slope intercept form equation 
and identify the Y-intercept.

(  - 1 , 1  )     (  - 2 , - 1 )    (  0  ,  3  )

Y  =   2 X  +  3
Y - intercept = 3

500

Write the slope intercept form
and identify the X-intercept
and the Y-intercept.
(  - 4 , - 4 )  ( 0 , - 2  )  (  1 , 0  )

Y  =  X / 2  -  2
X-intercept  =  1
Y-intercept  =  - 2

Measurement

100

Pi  =   C / D
What is the circumference of a circle with
a radius of  2.5 feet ?

3.14  =   C / 2r    or 5 ft

C  =  15.7 feet

200

Triangle One has a base of 6 inches and a height of 9 inches. Triangle Two has a base of 4.5 inches and a height of 12 inches.  What is the TOTAL area ?

54 sq inches

or   54  inches sq

300

Identify the perimeter of an Isoscles Trapezoid with these measurements:
Base 1 = 16.5 cm
Base 2  =    1/2 of Base 1
Leg 1 =  50% of  Base 2
Leg 2 =  Leg 1

33 cm

400

Which holds MORE, and how MUCH more ?
Rectangular Prism  L = 4 , W = 7 , H = 10  (inches)
or
Cylinder   H = 25 ,  D =  3   (inches)

RECTANGULAR PRISM = 280 in³
Cylinder =  176.625  in³   ( or 177 )
280 - 177 =    ~ 103 in³  more

500

Identify missing angles for an Isosceles Trapezoid with the following:
Base1 L1 = 82⁰ 
Base2 L1 = Half Base1 L1 + 6² + 3³ - 6
Base1 L2 =  Base1 L1
Base2 L2 = Base2 L1

Base 1 ,  L2  =   82 ⁰
Base 2 ,  L1 and L2  =  98 ⁰  each

2(82) + 2(98)
  164 + 196
       360

Angles

100

A triangle has angles measuring 30 degrees and 40 degrees. What is the measure of the third angle?

110 degrees

200

An angle greater than 0 degrees but less than 90 degrees

Acute

300

I have 1 right angle, 2 other equal angles always of 45°, and 2 equal sides

Isosceles triangle

400

A 180 degree angle is called a ________ angle.

Straight

500

Angles that adding up to a total of 90°

Complementary Angles

Order of Operations

100

(30/5) + 2 * 3^2 =

24

200

(5 * 3)6 + 8/2 - 6 +3 =

91

300

4 + 2(8^2 -4) - 20/2 =

470

400

5*2 + 10 -3 * 5^2 =

-55

500

5*4 (10*2) + 6 =

406

Ratios and Proportions

100

There are 6 soccer players , 4 tennis players , 5 basketball players , 7 swimmers, and 10 no sport participants.
What is the ratio of athletes who play on a court to a field ? 

3 : 2  or  3 / 2  or  3 to 2

200

Set up the math, compare to find the "better deal."

Aldi Chips  $ 7.30  for  18 oz
Wegmans Chips  15 oz for $ 5.90
Whole Foods Chips   13.5 oz  for  $ 6.25

Better Deal is Wegmans  
$ 5.90 / 15 = $ 0.39

Aldi  $7.30/18 = $ 0.41
Whole Foods  $6.25/13.5 = $ 0.46

300

Identify THREE important details or strategies to determine if data or values are PROPORTIONAL.

"criss cross butterfly"  a/b = c/d
Y =  M X + 0  ... slope or rate of change is consistent
Coordinates go through the Origin  ( 0 , 0 )
FACTOR is repeated, "skip counting" is consistent

400

real distance =  225 miles
image on map = 4 inches
set up the math to identify scale factor

225 / 4  =   X  /  1
X  =  56.25    
56 and 1/4 miles to 1 inch
    56.25  :  1

500

pay rate  =  $  75.50 per hour
1 time bonus  =  $  300.00
How may hours to earn at least $ 1,500.00

16 hours  

1500 - 300 bonus  =  1200
1200 / 75.50  =  15.89