7 th Grade Coordinate Algebra Warm-up Chart and Study Guide: October 5-7
Name __________________________________
Monday Monday Tuesday
1.
Solve the following equation for y 6.
Which numbers are rational? 10.
Record the Pythagorean y + 5x = -65
Set up a table of x and y values. x
-5
0
5
10 y
-45
-65
-90
-115 y = - 65 - 5 x
8EE7
2.
Solve the following equation for x
6 (x+4) = 1 - 3x + 9
6x+24 =10 -3x
8EE7
3.
Solve the following equation for k.
6k - 20 = 240 k = 260/6
8EE7
4.
Solve the following equation
20(x + 5) = 4(5x +25)
20x + 100 = 20x + 100
0 = 0 infinite number of solution
How many solutions does this equation have?
8EE7
5.
Given angles A and B are supplementary.
Use the following information to find the measures of angle A and angle B.
Angle A = 6x + 1
Angle B = x
6x+1+x = 180 x = 179/7 = Angle B
Angle A = 180 – Angle B
8G1-9
Math Journal:
Review 8NS1 8NS2 8EE1 8EE2 8EE3
Key Words:
Square root of 400
Square root of 144
Square root of 66
1.66666……
Record & review definition for rationa l numbers.
A rational number can be expressed as a ratio of two numbers or has a repeating nonterminating decimal (1/6) = .6666
8NS1
Take cube root of 125 = 5
What is length of a side of a square if the area is calculated to be 100 cm
2
=
10 cm
8EE2
7.
Apply properties of integer exponents
6 2 x 6 -8 = 6 -6
4 2 . 4 -8 = 4 -6
8EE1
8.
If in the equation C= 9d
C represents the cost of your vacation over a nine day period.
Calculate the cost if d = $10.50 per day. C =9($10.50) =
8EE7
9.
Convert the following to scientific notation .
1,000,000 = 1.0 x 10 6
2, 500 = 2.5 x 10
3
0.005 = 5.0 x 10
-3
0.000075 = 7.5 x 10 -5
8EE4
Theorem. Label the legs or segments of a right triangle. a 2 +b 2 =c 2
8G7
11.
Find the hypotenuse or distance if a = 7cm and b =
8cm.
a 2 +b 2 =c 2
c 2 = 7 2 +8 2 = 49 + 64
c 2 =113 c =
8G7
12.
Find the distance between a ladder and a slide if slide is
12ft long and ladder is 20 ft high .
a=20ft b =? c=12ft
20 2 + b 2 = 12 2
400 + b 2 = 144
Solve for b b 2 = 144-400 b 2 = -200 you cannot have square root of a negative number so configuration not possible?
8G7
13.
Find the Volume of a Cone with a diameter of 10 cm and a height of 25 cm.
(Answer to the nearest hundredth.) .
V = 1/3(3.14) (5) 2 (25)
=
Tuesday
15.
How do you identify a function? Learn next week
8F1 –Pre-test Item
16.
How do you know if a function is linear?
A linear function is raised to the 1 st power. (Example y = 2x)
Nonlinear examples are y = x
2 y = x
3
y = e x
y=log x
In a linear function one input results in one output.
A linear function also passes the vertical line test.
8F3 – Pre-test Item
17.
If two shapes are similar, how do you find the missing segments?
(Set up an equation or ratio to determine the missing length or segment.)
Similar figures are not congruent, but have the same shape.
8G4
18.
A square undergoes a 80% dilation with respect to the origin. One corner of the square’s pre-image is positioned at (10, 20). What are the coordinates of the dilated square’s image.
x value = 10 x 0.8 = 8 y value = 20 x 0.8 = 16 new coordinates ( 8, 16)
What is the scale factor? 0.8
8EE7
19.
Find the Volume of a Sphere with a diameter of 10 cm and a height of 25 cm.

7 th Grade Coordinate Algebra Warm-up Chart and Study Guide: October 5-7
Study Scientific Notation & Exponents
Practice Pythagorean Theorem
Hopefully you have already looked at videos and information posted on the website before the break. IF NOT
I would start BEFORE October 5 th
- so you do
NOT feel like you are cramming for the test. http://schoolwires.henry.k12.ga.us/Page/85357
You can also use previous warm-up charts and study guides to help prepare.
Remember scientific notation requires answer to have a single digit to the left of the decimal.
Review Angle Notes and Rules
Math Journal: (Study 8EE1)
Practice Exponent Operations to
Prepare for a quiz involving exponents.
Be able to identify if angles are congruent if parallel lines are intersected by a transversal.
Know definition for perimeter of a polygon or shape.
Understand math symbols or nomenclature for the image and preimage.
Use information and graphs to determine the distance between two points.
Be familiar with graphing data in coordinate plane.
8EE7
14.
Find the Volume of a
Cylinder can that measures a diameter of 10cm and height of 25 cm.
(Answer to the nearest hundredth.)
V = (3.14)(5) 2 (25) =
89
Math Journal: .
Know that the hypotenuse or c is equal to distance and is the side across from the right or 90 degree angle of a right triangle.
Key Words: (8G3)
Know the difference between a
Translation
Rotation
Reflection
Dilation
Know how to translate a figure and map out the new vertices or coordinates.
(See practice worksheets).
Review and be able to identify if angles or figures are:
Supplementary or
Complementary
Congruent or Similar
A congruent figure has identical angles and side lengths.
Congruent means equal.
(Answer to the nearest hundredth.)
V = 4/3 (5) 3 =
8G9
20.
Slope is the rate of change.
In linear equation y = mx + b m is the slope
Examples y = 5x + 1 m = +5 y = 1/3x -10 m = 1/3 y = -6x + 4 m = -6
y2 –y1/x2-x1 = rise/run
Learn for future a definition for slope in terms of 2 points or coordinates (x, y).
8EE6 – Pre-test Item (Slope)
Math Journal:
Study for Assessments
(16) Key Standards:
8NS1 8NS 2 8EE1 8EE2
8EE3 8EE4 8EE7 8G1 8G2 8G3
8G4 8G5 8G6 8G7 8G8 8G9
If you have more than 90% of information on this STUDY
GUIDE mastered then you are
READY.
Please have scratch paper, sharpened pencils, and a bright mind READY to go on Thursday.

7 th Grade Coordinate Algebra Warm-up Chart and Study Guide: October 5-7
Plan to take one assessment in
USATESTPREP. Plan to take one assessment in POINT. So bring technology.
Plan to show a constructed response for solving a linear equation – like #4 or #5. You will want to show your work.
Be prepared to show a written solution for the ladder type problem for Pythagorean
Theorem.
Rest. Study. Rest. Study.