Algebra15-14

Parallel and Perpendicular Lines

100

The equation for the perpendicular line of this(with the same y-intercept)

y=x + 2

What is, y=-x+2

200

The equation for the parallel line of this, crossing through the point (3,2).

y=2x+3

What is, y=2x-4

300

The equation for the perpendicular line of this(with the same y-intercept)

y=-2/7x -13

What is, y=7/2x-13

400

The equation of a line parallel to, but intercepting the point (5.44,5.998), of this equation

y = 3/7x - 4

What is, y = 3/7x+3.6666

500

What is the perpindicular line of this, while going through the point (-7,9)

-4x+3y=3x-4

What is, y=-3/7x+6

Exponential Functions

100

5⁴ⁿ⁺⁵=5^n-7

What is, n=-4

200

3^k x 3^k+2 =3^5k-1

What is, k=1

300

2^p-7 = 8

What is, p=10

400

125^y = 25

What is, y=2/3

500

9^2x+4 x 9^2x = 1/81

What is, x= -3/2

+&- Polynomials

100

(2x²+5x-3)+(x²-2x+1)

What is, 3x²+3x-2

200

(5x²+4x-7)+(-2x²+3x-11)

3x²+7x-18

300

(1/5x²+2/3x-8)+(9+3/5x²)

What is, 4/5x²+2/3x+1

400

4x²+(5x-3x²)-(8x+4)

What is, x²-3x-4

500

(12x²-5x+1)-(8x²+2x-4)

What is, 4x²-7x+5

+&-Square roots

100

sqrt{25} + sqrt{36}

11

200

sqrt{100} - sqrt{4}

8

300

2sqrt{3} + 4sqrt{3}

6{3} or 10.4

400

4sqrt{6} - 3sqrt{9}

.8

500

sqrt{75} + sqrt{125}

5sqrt{3} + 5sqrt{5}