Advanced Algebra Summer Assignment, Lecture notes of Algebra

Advanced Algebra Summer Assignment. The following worksheets represent your first week of work for Advanced Algebra. It should all be review.

Typology: Lecture notes

2021/2022

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Advanced Algebra Summer Assignment
The following worksheets represent your first week of work for Advanced Algebra. It should all be review
of topics you learned in Algebra except for the last page which is a little more challenging. If you do not
remember how to do some of these problems, watch a video on khanacademy.org (Algebra section) or find
a video on you tube on that subject.
This packet is due on the first day of math class which will be the week of August 28th.
Assignment #1 - Linear Equations Name: __________________________
Show your work. Leave all answers as fractions when appropriate.
Graph each linear equation. Graph #5 and 6 on the left grid and #7 and 8 on the right grid.
1.
24
3
yx
2.
5
3
yx
3.
32yx
4.
43
5
yx
Find an equation for the line with the given properties. Use the slope equation
21
21
yy
mxx
and
either
bmxy
(slope/intercept) or
11
y y m x x
(point/slope). Express your answer in
slope/intercept form
bmxy
5. Slope = 4; containing the point
6. Slope =
3
2
; containing the point
(6, 3)
7. Containing the points
( 4, 3)
and
( 5,2)
8. x-intercept =
3
; y-intercept =
4
9. Horizontal; containing the point
(3, 2)
10. Vertical; containing the point
pf3
pf4

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Advanced Algebra Summer Assignment

The following worksheets represent your first week of work for Advanced Algebra. It should all be review of topics you learned in Algebra except for the last page which is a little more challenging. If you do not remember how to do some of these problems, watch a video on khanacademy.org (Algebra section) or find a video on you tube on that subject.

This packet is due on the first day of math class which will be the week of August 28th.

Assignment #1 - Linear Equations Name: __________________________

Show your work. Leave all answers as fractions when appropriate.

Graph each linear equation. Graph #5 and 6 on the left grid and #7 and 8 on the right grid.

1.^2 3

yx  2.^5 3

y   x 3. y   3 x  2 4.^4 5

yx

Find an equation for the line with the given properties. Use the slope equation^2 2 1

m y^ y x x

and

either y  mx  b (slope/intercept) or y  y 1  m x   x 1 (point/slope). Express your answer in

slope/intercept form ymxb

  1. Slope = 4; containing the point (3, 1)
    1. Slope =^3 2  ; containing the point(6, 3)
  2. Containing the points ( 4, 3)and ( 5, 2) 8. x-intercept =  3 ; y-intercept = 4
  3. Horizontal; containing the point (3, 2) 10. Vertical; containing the point(4, 5)
  1. Parallel to the line y   2 x 5; containing the point( 1,7)

  2. Parallel to the line 2 x  3 y  6; containing the point( 6,3)

  3. Perpendicular to the line y  2 x 5; containing the point(8, 7)

  4. Perpendicular to the line 4 xy 9; containing the point( 6,1)

Solve using systems of equations using the given method. Show your answer as a point.

Solve by substitution.

y x x y

x y x y

Solve by elimination. Show your answer as a point.

x y x y

x y x y

Solve each literal equation for the indicated variable. Use the same methods that you would use for solving an equation with numbers. (Google literal equations or watch a video on youtube if you need examples to help with this section)

  1. A  ( ab h ) for h 12.^11 2 A^ ^ h b (^^  b ) for h
  2. axbcxd for d 14. axbcxd for x
  3. IP ( 1  rt ) for r (^) 16. TT 0 (^)  a z (  z 0 ) for a
  4. Challenge 1 2

1 1 1 R r r   for r 2 18. Challenge^1 2 y u u

   for u