Линейные уравнения

«Образование — это свобода» — педагог Пауло Фрейре.

Линейные уравнения

Линейные уравнения
Рациональные уравнения
Линейные уравнения с модулем

Линейные уравнения. Тип 1.

№ 1
1. 2 – 8x = 0 ↖
2. 4 + 9x = 0
3. 4 = 8x
4. 3x = – 2
5. 4 = – 3x
№ 2
1. – 9x = – 2
2. – 6x = – 4
3. 9 = – 8x
4. – 8 = 6x
5. 9 = 5x
№ 3
1. – 6 = 8x
2. 1 + 6x = 0
3. 8x = 1
4. 3 – 3x = 0
5. 2 – 5x = 0
№ 4
1. – 8 + 9x = 0
2. 8x = – 6
3. 6 = – 9x
4. 9 = – 5x
5. 8 – 3x = 0
№ 5
1. 1 = 4x
2. 6 – 6x = 0
3. – 9x = – 6
4. 6 + 8x = 0
5. 2 + 8x = 0
№ 6
1. 7 = 9x
2. – 3 – 5x = 0
3. – 1 – 8x = 0
4. 3 + 2x = 0
5. – 6x = 2
№ 7
1. 8 + 3x = 0
2. – 6 = – 7x
3. 4 = – 4x
4. 4 + 8x = 0
5. – 4x = 9
№ 8
1. – 9 + 2x =0
2. – 8x = – 3
3. – 3 – 3x = 0
4. 7x = – 1
5. 7 + 9x = 0

Линейные уравнения. Тип 2.

№ 1
1. 7 – x = – 3x + 7
2. – 4 + x = – 8 + 4x
3. 3 – 4x = – 6x – 8
4. – 7x + 2 = 3x – 6
5. – 9+ 9x = 2x – 6
№ 2
1. 7 – x = x + 3
2. – 7x + 7 = 5 + x
3. – 7x – 9 = – 8 – 2x
4. 1 = 8x + 3
5. 1 – 5x = 2x – 1
№ 3
1. 8x + 3 = 5
2. x + 1 = 4 – 4x
3. – 8x + 7 = – 3
4. 8 – 8x = 6 + 7x
5. 8x – 7 = – 6 + 4x
№ 4
1. 8x = – 5x + 1
2. – 8x – 7 = – 4x – 3
3. 1 – 7x = 8 – x
4. 1 = – 8x – 3
5. – 9x + 4 = 8x
№ 5
1. 7x – 9 = 7 + 2x
2. – 7 + x = 3x – 4
3. 3 + 2x = x + 8
4. 4 – 5x = 1 + 2x
5. x + 11 = 7 – 5x
№ 6
1. 7 – x = 6 + x
2. 8x + 1 = – 5 – 8x
3. – x + 6 = – 3 – 6x
4. 4 + 6x = – 5x + 2
5. 5x – 7 = – x – 5
№ 7
1. – 2x + 6 = 9x – 2
2. 6x – 7 = 1 + 4x
3. 1 + 4x = 7 + 2x
4. 2x + 4 = – 1 – 3x
5. 6x + 7 = 1 – x
№ 8
1. 9x –3 = 7 + x
2. 7x + 6 = 4x + 4
3. – 4 + 6x = – 8x + 4
4. – 3+4x = 3 – 4x
5. 5 – 7x = 4x – 8
№ 9
1. 6x + 6 = – 1
2. – 8x – 5 = – 7 – 6x
3. 7 + x = – 3 + 2x
4. – 8 – 7x = – 9x
5. x – 3 = 1 + 2x
№ 10
1. – 6x + 1 = 13
2. – 3x + 9 = 4x – 8
3. 5x – 8 = 9 – 7x
4. – 5 – 3x = – 5 – 6x
5. – 4 – 2x = 8x – 4
№ 11
1. x + 8 = 3 + 2x
2. 9x – 9 = – x – 9
3. – 4+ 9x = – 5x – 8
4. 1 – 6x = – 4x
5. – 6 – 6x = 4 – 3x
№ 12
1. – 7x + 1 = 3x – 5
2. – 8 – 6x = x + 3
3. – 1 – 9x = 7x – 4
4. 2x – 4= – 2x + 2
5. – 8 + x = 9x – 1

Линейные уравнения. Тип 3.

№ 1
1. 4( – 8x + 5) = 0
2. – 2(8 – x) = 0
3. 2( – x + 4) = 0
4. – 2(2 – 4x) = 0
5. – 1( – 6 + 5x) = 0
№ 2
1. – 4( – 2x – 2) = 0
2. – 2( – 8 + x) + 9 = 0
3. – 7(4 + x) + 3x = 0
4. 3( – 9x + 8) = 0
5. 2(7x + 6) = 0
№ 3
1. 3(4x – 6) – 3(9x – 4) = 0
2. – 3(1 + 4x) = 5 – 3x
3. – 2(1 + 7x) – 3x = 0
4. 2(– 8 + 9x) + 5x = 0
5. 4(– 4 + 4x) + 2(4x + 8) = 0
№ 4
1. 4( – 2 – 7x) – 2(x + 6) = 0
2. 2(7+ 6x) = – 2(5 – 2x)
3. ( – 5x – 4) + 4( – 2x + 6) = 0
4. 2(2 – 3x) – 3( – 2 + 4x) = 0
5. – 3(x + 1) + 6x = 0
№ 5

– 3(x – 5)+4( – 7+3x)=0
– 1(1 – 9x)+3(5x – 1)=0
– 2(6x – 4) – 4( – x – 9)=0
– 1(7+9x)=0
– 3( – 4x – 1)+5x=0
№ 6
1. 4(6 + x) – 1( – 6 – 7x) = 0
2. 2(9 + 2x) – 2(– 2 – 7x) = 0
3. 3( – 2x – 8) – 3(x + 6) = 0
4. 4(3x + 5) + 7x = 0
5. 2( – 5x + 9) – 6 = 0
№ 7
1. 3( 3x + 5)+3( – 3x + 4) = 0
2. 2(1 + x) + 1 = 0
3. – 2( – 9 + x) – (5 + 8x) = 0
4. 4(4 + x) – 6 = 0
5. – 4( – 3 + x) + 4(7 + x) = 0
№ 8
1. – 2(9x – 2) + 5x = 0
2. – 4( 5 + x) + 4(4x – 9) = 0
3. 3(1 – 8x) + 2( – 9x – 1) = 0
4. 3(1 – 3x) – 2(1 + 4x) = 0
5. 3(6x – 5) – 2(– 2 + 7x) = 0
№ 9
1. – 2( – 4x + 9) + 9x = 0
2. 2(3 + x) + 5 = 0
3. – 1(3x – 2) – 2( – x – 5)=0
4. – 2( x + 6) + 2(3x – 2) = 0
5. 4(x + 8) – 2(7x – 7) = 0
№ 10
1. – 2(5 + 5x) – 4(7 + 6x) = 0
2. 2(7x – 5) – 9 = 0
3. 3(1 – 9x) – 3(9 + x) = 0
4. 4(8x – 3) – 2 = 0
5. 4( – 4 – 4x) – 2(8x + 3) = 0
№ 11
1. 3(4 –6x) + 3(7x + 2) = 0
2. – 3( –x + 4) + 3x = 0
3. 2(–5x + 7) – 4(7 + 3x) = 0
4. – 3( – 6x + 1) – 6x = 0
5. 4( 3 + 4x) – 4(2 – 8x) = 0
№ 12
1. – 2(3 + 5x) – 4( x – 4) = 0
2. 4(x + 1) + 4(8 – 3x) = 0
3. – 2(6x + 9) + x = 0
4. – 3(2x + 7) + 2(3x – 1) = 0
5. 2( – 5 – 8x) – 4(x + 3) = 0

Рациональные уравнения.

Линейные уравнения с модулем.

№ 1

7 – 2|x| = 0
– 6 + 2|x| = 0
3 – 3|x| = 0
7|x| = 7
9|x| = – 5
№ 2

– 8 + 5|x| = 0
6 = – 6|x|
– 7 = – 6|x|
– 6 – 8|x| = 0
8|x| = 5
№ 3

– 6|x| = 6
7 – 9|x| = 0
5 + 3|x| = 0
2 + 5|x| = 0
– 1= – 9|x|
№ 4

8 + 6|x| = 0
5 + 2|x| = 0
– 3 + 6|x| = 0
3 – 6|x| = 0
1 + 2|x| = 0
№ 5

3x = |9x – 3|
|– x – 3| + 5x – 9 = 0
– 5 – |2x – 7| + 5x = 0
|9 + 4x| = 7x + 8
– 4x = |5x – 9|
№ 6

|8x + 1| = 7x – 6
|– 6x + 2| = x + 3
5 – 5x = |– 7x|
|– 9 + 6x| = – 4 – 2x
|4 + 2x| = 9x + 1
№ 7

8x – |8 + 5x| + 7 = 0
– 7x – 4 + |2 + x| = 0
|– 8x + 1| + x – 8 = 0
3 + 7x – |8x + 2| = 0
– 3x – |2 – 7x| – 1 = 0
№ 8

|– 8 + 2x| – 2x + 9 = 0
3x – 9 + |7 – 2x| = 0
3 – 2x – |4 – 7x| = 0
– 4 – 6x – |2 + 5x| = 0
– 4x + 1 – |3 + 6x| = 0
№ 9

– 9x = – 3| – 8 + |3x||
|– 6|x| + 8| = 4 + 3x
– 8 = – 2|x + |8 + x||
2|3 + 2|x|| = – 2x – 5
|8|x| + 4|= –1 – 8x
№ 10

−5x|2+7x| = 2|2−7x| − 2x
−8x+|x−3| = −5x + 3|6+6x|
|9+2x| = |−5x+9| −4x
|5+8x|−8x = 8x +|3x+5|
|3+|x||−3 = 5x + 8
№ 11

|4x − |7 + 4x| + 7| = − 7x
|−4x + |2 + x| + 2| = − 6x
|1 − |8x + 4| + x| = x
|3x − |−9−5x| − 9| = x
|−1 − |5x + 5| + 7x| = − 4x
№ 12

|x − 2|6 − 3x| + 6| = − 5x
|− x − |2 − 8x| + 4| = 6x
|1 − |5x + 1| − 5x| = − 8x
|−8x − |5x −5| − 9x| = −x
|−7+ |6x −7|−2x| = 9x