Find all solutions to each equation, find exact solutions and decimal approximations of irrational solutions

492 x1.

182 x2.

762 x3.

5022 xx4.

77 and

2.42.4

1818

andabout

and

7.87.8

7676

andabout

and

55 and

1. )168(42 2. )254(37

3. )36(62 4. )74(58

1. )168(42 2. )254(37

3. )36(62 4. )74(58056,7 398,9232,2

292,4

0.176(2.4)

4224

0.4224

1. )63.2(2.5 2. )4.15(42

3. )6.3(2.6 4. )74.0(58.0

1. )63.2(2.5 2. )4.15(42

3. )6.3(2.6 4. )74.0(58.0676.13

32.22

8.646

4292.0

8

7

64

15

49

15

15or about 3.9

Find the exact length of the missing side of each right triangle. Also find a decimal estimate of any irrational length.

2 8 7

7

3

8

5 9

1. 2. 3.

4.

Find the exact length of the missing side of each right triangle. Also find a decimal estimate of any irrational length.

2 8 7

7

3

8

5 9

1. 2. 3.

4.7.760about

9.998about5.873about

5.756about

32 22 12 02 12 22 32 42 52

8 16 324212

1

4

1

8

1

36

Examples:

36

1

216

1 06 1

Pattern:

Create an equivalent expression without exponents: 1. 2. 3. 4.23 35 42 34

Create two equivalent expression:a) Without exponentsb) A single exponential

expression Example 1: )3(3 23

33333 243)a

53)b

8

8 1 14

14 1 246

246 1

Create two equivalent expression:a) Without exponentsb) A single exponential

expression Example 1: )3(3 23

33333 243)a

53)b

Example 2: 5

3

4

4

44444

444

16

1)a

24) b44111

111

24

1

Create two equivalent expression:a) Evaluateb) Write as a single number with an

exponent 1. 2.

3. 4.

52 22 02 66

7

4

3

32

6

2

2

2

9

4in

?

?

?9

4

3

2

9

4

1.

64

1 2.

81

25

3

27

83.

Evaluate:

85

64

25

3939

39or about 6.2

Find the exact length of the missing side of each right triangle. Also find a decimal estimate of any irrational length.

5 8 8

8

2

8

5 10

1. 2. 3.

4.

Find the exact length of the missing side of each right triangle. Also find a decimal estimate of any irrational length.

5 8 8

8

2

8

5 10

1. 2. 3.

4.

2.639about

simplifiedor

about

28

3.11128

simplifiedor

about

172

2.868

simplifiedor

about

35

7.875