Mathematical Exercises: Solving Equations and Systems, Assignments of Algebra

Mathematical exercises involving solving equations and systems using various algebraic operations. The exercises cover topics such as solving for x, equations with parentheses, and systems of linear equations. Students are required to find the value of x or the solution of the system.

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

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Potential Poppers 2.1/6.1
If the question is one from the Exercises, the problem number is at the end in parentheses.
2.1
Solve for x:
7 + 2(3 8x) = 4 x) = 4 6(1 + 5x)x) (8x) = 4 )
1x(
5x)
2
)7x(
3
5x)
) (13)
3)12x(
6
1
12x
9
4
(14)
3
x4
7
x5x)
2
(17)
3
5x)
6x3
4
2x
7
(20)
6.1
Solve the system. If the lines are parallel, write “no solution”. If the lines aren’t different
and are the same line, write “(x, mx+b)”. If there is a one point solution, give that point
as the answer.
014y2x4
7yx2
(2)
9y3x6
0yx5x)
(8x) = 4 )
6y3x12
10y2x8x) = 4
(18x) = 4 )
pf2

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Potential Poppers 2.1/6.

If the question is one from the Exercises, the problem number is at the end in parentheses.

Solve for x:

 7 + 2(3 8x) = 4 x) = 4  6(1 + 5x)x) (8x) = 4 )

 (x 1

5x)

(x 7 )

5x)

 (x 12 ) 3

x 12

4 x

5x) x

5x)

3 x 6

x 2

Solve the system. If the lines are parallel, write “no solution”. If the lines aren’t different

and are the same line, write “(x, mx+b)”. If there is a one point solution, give that point

as the answer.

4 x 2 y 14 0 2 x y 7   

6 x 3 y 9 5x)x y 0   

(8x) = 4 )

12 x 3 y 6 8x) = 4 x 2 y 10   

(18x) = 4 )

2 x y 13 3 x 2 y 5x)  

4 x 3 y 19 6 x 3 y 33  