Math 2: Review

Pythagorean Theorem

100

One of the legs of a right triangle measures 3 in and the other leg measures 4 in. Find the measure of the hypotenuse.

= 5

200

One of the legs of a right triangle measures 2 in and the other leg measures 10 in. Find the measure of the hypotenuse.

 = 10.2

300

One of the legs of a right triangle measures 11 in and the hypotenuse measures 18 in. Find the measure of the other leg.

= 14.2

400

One of the legs of a right triangle measures 4 in and the hypotenuse measures 16 in. Find the measure of the other leg.

= 15.5

Slope/Y-intercept Form

100

3y — 3x = 12

y = x + 4

200

6x + 2y = - 10

y = – 3x – 5

300

3x + 6y = –18

y = – 1/2x —3

400

3x + 9y = 63

y = – 1/3x + 7

Adding like Terms

100

w + 6w + 4w

11w

200

- 6k + 8 +2k + 10

- 4k + 18

300

- x² - x - 2xy - x²

- 2x² - 2xy - x

400

- 4 - 3y² - 3x - x

- 3y² - 4x - 4

Exponents

100

(6x⁴y³)²

36x⁸y⁶

200

y⁴(-7x²)

-7x²y⁴

300

(3x²y³)²

9x⁴y⁶

400

-7x⁵y³(-5x⁴y⁴)

35x⁹y⁷

Substitution

100

y = 8x

Y = 10X – 4

(2,16)

200

7x – 3y = 8

y = 3x

(–4, –12)

300

10x – 2y = – 16

y = 3x

(–4, –12)

400

x – 4y = –8

5y – 1 = x

(–36, –7)