SAT Math 2

Solving Equations with Fractions Part 1

100

m/4 = 3

m = 12

200

1/4x = 5

x = 20

300

-6 = 3x/5

x = -10

400

y - 2/5 = -1/3

y = 1/15

500

2y - 3/5 = 1/2

y = 11/20

Rationalizing Denominators

100

11/√5

11 √5/ 5

200

√2/3√3

√6/9

300

9/√15

3√15/5

400

5√7/4√3

5√21/12

500

-11/√121

-1

Solving Equations with Fractions Part 2

100

3/5 (1 + p)= 21/20

p = 3/4

200

3/4 x 7/2 = 5/6

x = 52/9

300

3/2 ( 7/3 n + 1)= 3/2

n = 0

400

 3/4 − 5/4m = 113/24

m = − 19/6

500

2/3 x − 2= 3/2 x + 1/6

x = − 13/5

Rationalizing Conjugates

100

3/ 1 +√7

-1 - √7/2

200

-18/ 2 + √3

-36 + 18√3

300

-6/ 9 + √13

-27 - 3√13/ 34

400

7/ √17 + 6

42 - 7√17/ 19

500

-√3/ √6 + √7

3√2  - √21

Miscellaneous

100

Solve for k:

− 1/2 = 3/2 k + 3/2

k = − 4/3

200

Rationalize:

4/√13

4 √13/13

300

5/ 7 - 4√3

35 + 20√3

400

16/ 2√3 + √10

16√3 - 8√10

500

Solve for x:

3/2 (5/9x + 4/27) = 3

x = 10/3