１回目反復練習プリント方程式反復練習プリント数学・算数の教材公開ページ

(1)

2^次方程式0106-1 ^名前（ ^）

1.

^次の²次方程式を解きなさい。

(1) x² ^{= 81} (2) x² ^{= 100} (3) x² ^{= 64}

(4) a²− 9 = 0 (5) x²− 26 = 0

(6) (x− 5)² ^{= 14} (7) (x− 2)² ^{= 10}

(8) (x− 3)²− 10 = 0 (9) (x− 6)²− 26 = 0

(10) 3(x− 6)² ^{= 36} (11) 5(x + 5)² = 30

(12) 4(x− 2)²− 8 = 0 (13) 5(x− 2)²− 10 = 0

(2)

2.

^次の²次方程式を因数分解を用いて解きなさい。

(1) a²− 3a − 4 = 0 (2) x²^{+ 3x = 0}

(3) x²+ x − 12 = 0 (4) x²+ 11x − 12 = 0

(5) x²− 2x − 15 = 0 (6) a²− 9^a = 0

(7) 4a− 3 =^a² (8) a² = −13a − 12

(9) 4x− 4 =^x² (10) 5a =−^a²

(11) x²− 7^x = 8 (12) a²− 9^a = −14

(3)

3.

^次の²次方程式を解の公式を用いて解きなさい。

(1) x²+ 5x + 3 = 0 _{(2) 4x}²+ 4x − 1 = 0

(3) x²− 6x − 9 = 0 (4) x²− 6x − 37 = 0

(5) x²− 10^x+ 6 = 0 (6) x²+ 2x − 45 = 0

(7) x²− 4^x = 18 (8) x²+ 8x + 4 = 0

(9) −19 = 4^x²− 20^x (10) 2x²− 8^x= 11

(11) −10x − 9 = 2x² (12) x²+ 10x = −22

(4)

4.

(1) 3(x− 6)² ^{= 42} (2) (x− 2)² ^{= 3}

(3) (x + 5)²− 3 = 0 (4) (x + 6)²− 29 = 0

5.

^次の²次方程式を因数分解を用いて解きなさい。

(1) 7a =−^a²− 12 (2) a² = 4a + 5

(3) −^x² = −11x (4) x² = −10x + 11

6.

^次の²次方程式を解の公式を用いて解きなさい。

(1) 20x = 4x² ^{+ 17} (2) 8x²− 20^x= −9

(3) x² = −17 − 10x (4) 4x²^{+ 8x = 35}

(5)

7.

(1) x² ^{= 9} (2) x²− 8x − 17 = 0

(3) x² = 25 (4) x²− 6^x^{+ 1 = 0}

(5) a² = 24 (6) x²+ 10x − 18 = 0

(7) 5(x + 1)²− 40 = 0 (8) 2x²+ 4x = −1

(9) x² = 7x − 12 (10) 42 = x²− 2^x

(11) −20^x= 4x²+ 17 (12) −10x − 19 = x²

(6)

8.

^次の²次方程式を解きなさい。 (1) 1

3^a²^{+ 8}3^a^{+ 7}3 ^{= 0} ^{(2) 1}3^x²^{+ 5}3 ^x^{+ 4}3 ^{= 0}

(3) 3

2â²^{− 15}â^{+ 24 = 0} ^{(4) 1}2â²^{+ 4a + 7}2 ^{= 0}

(5) 1

2^x² ^{= 4x} ^{(6) 3}2^x²^{+ 3x = 12}

(7) −³⁹

2 ^{= −2x}²^{− 6}^x ^{(8) 2}3^x² ^{= 4x + 32}3

(9) 1

2^x²^{+ 3}2^x^{= 3} ⁽¹⁰⁾ ⁻

5

3^x^{= −} 1

3^x²^{− 2}

(11) 3

2^x²^{+ 15x = −} 27

2 ^{(12) 1}2^x²⁻

3

2 ^x^{= −1}

(7)

2^次方程式0106-1 ^名前（ ^）

1.

^次の²次方程式を解きなさい。 (1) x² ^{= 81}

x = _±9

(2) x² ^{= 100}

x = _±10

(3) x² ^{= 64}

x = _±8

(4) a²− 9 = 0

a = _±3

(5) x²− 26 = 0

x = _± ^√ ²⁶

(6) (x− 5)² ^{= 14}

x = 5 _± ^√ ¹⁴

(7) (x− 2)² ^{= 10}

x = 2 _± ^√ ¹⁰

(8) (x− 3)²− 10 = 0

x = 3 _± ^√ ¹⁰

(9) (x− 6)²− 26 = 0

x = 6 _± ^√ ²⁶

(10) 3(x− 6)² ^{= 36}

x = 6 _{± 2} ^√ ³

(11) 5(x + 5)² = 30

x = _{−5 ±} ^√ ⁶

(12) 4(x− 2)²− 8 = 0

x = 2 _± ^√ ²

(13) 5(x− 2)²− 10 = 0

x = 2 _± ^√ ²

(8)

2.

^次の²次方程式を因数分解を用いて解きなさい。 (1) a²− 3a − 4 = 0

a = 4, _{− 1}

(2) x²^{+ 3x = 0}

x = 0, _{− 3}

(3) x²+ x − 12 = 0

x = _{−4, 3}

(4) x²+ 11x − 12 = 0

x = _{−12, 1}

(5) x²− 2x − 15 = 0

x = _{−3, 5}

(6) a²− 9^a = 0

a = 0, 9

(7) 4a− 3 =^a²

a = 3, 1

(8) a² = −13a − 12

a = _{−12, − 1}

(9) 4x− 4 =^x²

x = 2

(10) 5a =−^a²

a = 0, _{− 5}

(11) x²− 7^x = 8

x = 8, _{− 1}

(12) a²− 9^a = −14

a = 7, 2

(9)

3.

^次の²次方程式を解の公式を用いて解きなさい。 (1) x²+ 5x + 3 = 0

x = ^{−5 ±}

√ 13

2

(2) 4x²+ 4x − 1 = 0

x = ^{−2 ± 2}

√ 2

4

(3) x²− 6x − 9 = 0

x = 3 _{± 3} ^√ ²

(4) x²− 6x − 37 = 0

x = 3 _± ^√ ⁴⁶

(5) x²− 10^x+ 6 = 0

x = 5 _± ^√ ¹⁹

(6) x²+ 2x − 45 = 0

x = _{−1 ±} ^√ ⁴⁶

(7) x²− 4^x = 18

x = 2 _± ^√ ²²

(8) x²+ 8x + 4 = 0

x = _{−4 ± 2} ^√ ³

(9) −19 = 4^x²− 20^x

x =

5 _± ^√ 6

2

(10) 2x²− 8^x= 11

x =

4 _± ^√ 38

2

(11) −10x − 9 = 2x²

√

(12) x²+ 10x = −22

(10)

4.

^次の²次方程式を解きなさい。 (1) 3(x− 6)² ^{= 42}

x = 6 _± ^√ ¹⁴

(2) (x− 2)² ^{= 3}

x = 2 _± ^√ ³

(3) (x + 5)²− 3 = 0

x = _{−5 ±} ^√ ³

(4) (x + 6)²− 29 = 0

x = _{−6 ±} ^√ ²⁹

5.

^次の²次方程式を因数分解を用いて解きなさい。 (1) 7a =−^a²− 12

a = _{−3, − 4}

(2) a² = 4a + 5

a = 5, _{− 1}

(3) −^x² = −11x

x = 0, 11

(4) x² = −10x + 11

x = _{−11, 1}

6.

^次の²次方程式を解の公式を用いて解きなさい。 (1) 20x = 4x² ^{+ 17}

x =

5 _{± 2} ^√ 2

2

(2) 8x²− 20^x= −9

x =

5 _± ^√ 7

4

(3) x² = −17 − 10x

x = _{−5 ± 2} ^√ ²

(4) 4x²^{+ 8x = 35}

x = ^{−2 ±}

√ 39

2

(11)

7.

^次の²次方程式を解きなさい。 (1) x² ^{= 9}

x = _±3

(2) x²− 8x − 17 = 0

x = 4 _± ^√ ³³

(3) x² = 25

x = _±5

(4) x²− 6^x^{+ 1 = 0}

x = 3 _{± 2} ^√ ²

(5) a² = 24

a = _±2 ^√ ⁶

(6) x²+ 10x − 18 = 0

x = _{−5 ±} ^√ ⁴³

(7) 5(x + 1)²− 40 = 0

x = _{−1 ± 2} ^√ ²

(8) 2x²+ 4x = −1

x = ^{−4 ± 2}

√ 2

4

(9) x² = 7x − 12

x = 4, 3

(10) 42 = x²− 2^x

x = 1 _± ^√ ⁴³

(11) −20^x= 4x²+ 17

√

(12) −10x − 19 = x²

(12)

8.

^次の²次方程式を解きなさい。 (1) 1

3^a²^{+ 8}3^a^{+ 7}3 ^{= 0}

a = _{−7, − 1}

(2) 1

3^x²^{+ 5}3 ^x^{+ 4}3 ^{= 0}

x = _{−4, − 1}

(3) 3

2^a²^{− 15}^a^{+ 24 = 0}

a = 8, 2

(4) 1

2^a²^{+ 4a + 7}2 ^{= 0}

a = _{−7, − 1}

(5) 1

2^x² ^{= 4x}

x = 0, 8

(6) 3

2^x²^{+ 3x = 12}

x = _{−4, 2}

(7) −³⁹

2 ^{= −2x}²^{− 6}^x

x = ^{−3 ± 4}

√ 3

2

(8) 2

3^x² ^{= 4x + 32}3

x = 8, _{− 2}

(9) 1

2^x²^{+ 3}2^x^{= 3}

x = ^{−3 ±}

√ 33

2

(10) −⁵

3^x^{= −} 1

3^x²^{− 2}

x = 3, 2

(11) 3

2^x²^{+ 15x = −} 27

2

x = _{−1, − 9}

(12) 1 2^x²⁻

3

2 ^x^{= −1}

x = 1, 2

１回目 反復練習プリント 方程式反復練習プリント 数学・算数の教材公開ページ

1.

2.

3.

4.

5.

6.

7.

8.

1.

x = ±9

x = ±10

x = ±8

a = ±3

x = ± √ 26

x = 5 ± √ 14

x = 2 ± √ 10

x = 3 ± √ 10

x = 6 ± √ 26

x = 6 ± 2 √ 3

x = −5 ± √ 6

x = 2 ± √ 2

x = 2 ± √ 2

2.

a = 4, − 1

x = 0, − 3

x = −4, 3

x = −12, 1

x = −3, 5

a = 0, 9

a = 3, 1

a = −12, − 1

x = 2

a = 0, − 5

x = 8, − 1

a = 7, 2

3.

x = −5 ±

√ 13

2

x = −2 ± 2

√ 2

4

x = 3 ± 3 √ 2

x = 3 ± √ 46

x = 5 ± √ 19

x = −1 ± √ 46

x = 2 ± √ 22

x = −4 ± 2 √ 3

x =

5 ± √ 6

2

x =

4 ± √ 38

2

√

4.

x = 6 ± √ 14

x = 2 ± √ 3

x = −5 ± √ 3

x = −6 ± √ 29

5.

a = −3, − 4

a = 5, − 1

x = 0, 11

x = −11, 1

6.

x =

5 ± 2 √ 2

2

x =

5 ± √ 7

4

x = −5 ± 2 √ 2

x = −2 ±

√ 39

2

7.

x = ±3

x = 4 ± √ 33

１回目反復練習プリント方程式反復練習プリント数学・算数の教材公開ページ

x = _±9

x = _±10

x = _±8

a = _±3

x = _± ^√ ²⁶

x = 5 _± ^√ ¹⁴

x = 2 _± ^√ ¹⁰

x = 3 _± ^√ ¹⁰

x = 6 _± ^√ ²⁶

x = 6 _{± 2} ^√ ³

x = _{−5 ±} ^√ ⁶

x = 2 _± ^√ ²

x = 2 _± ^√ ²

a = 4, _{− 1}

x = 0, _{− 3}

x = _{−4, 3}

x = _{−12, 1}

x = _{−3, 5}

a = _{−12, − 1}

a = 0, _{− 5}

x = 8, _{− 1}

x = ^{−5 ±}

x = ^{−2 ± 2}

x = 3 _{± 3} ^√ ²

x = 3 _± ^√ ⁴⁶

x = 5 _± ^√ ¹⁹

x = _{−1 ±} ^√ ⁴⁶

x = 2 _± ^√ ²²

x = _{−4 ± 2} ^√ ³

5 _± ^√ 6

4 _± ^√ 38

x = 6 _± ^√ ¹⁴

x = 2 _± ^√ ³

x = _{−5 ±} ^√ ³

x = _{−6 ±} ^√ ²⁹

a = _{−3, − 4}

a = 5, _{− 1}

x = _{−11, 1}

5 _{± 2} ^√ 2

5 _± ^√ 7

x = _{−5 ± 2} ^√ ²

x = ^{−2 ±}

x = _±3

x = 4 _± ^√ ³³

x = _±5

x = 3 _{± 2} ^√ ²

a = _±2 ^√ ⁶

x = _{−5 ±} ^√ ⁴³

x = _{−1 ± 2} ^√ ²

x = ^{−4 ± 2}

x = 1 _± ^√ ⁴³

a = _{−7, − 1}

x = _{−4, − 1}

a = _{−7, − 1}

x = _{−4, 2}

x = ^{−3 ± 4}

x = 8, _{− 2}

x = ^{−3 ±}

x = _{−1, − 9}