Mrs. Niemi's Algebra 1

Simplify

100

16^1/2

4

200

| 4 - 10 |

6

300

(-1/3)² - (xy)⁰ - 2²

-35/9 or -3 8/9

400

Square root of (X² + 16X + 64)

X + 8

500

4X²/X^-3 + 2X/X^-2

4X⁵ + 2X³

Factor

100

4X² - 8X

4X(X - 2)

200

X² - Y²

(X + Y)(X - Y)

300

X² + X - 6

(X + 3)(X - 2)

400

5X² - 20

5(X + 2)(X - 2)

500

3X³ + 11X² - 20X

X(3X - 4)(X + 5)

Solve

100

Solve for X.

2X + 3 = 5

X = 1

200

Solve for X.

3X² - 15X = 0

X = 0, 5

300

Solve for X.

X² - 3X + 7 = 47

X = 8, -5

400

Solve for X.

X - .30X = 1.4

X = 2

500

Solve for X.

1/2X - 3/4 = 5/8

X = 11/4

Graphing

100

Graph the following equation:

y = 2x - 1

Line, y-intercept at -1, next coordinate at (1, 1)

200

Graph the following equation:

X² + Y² = 25

Circle, center (0,0), radius = 5

300

Find the Y-values for the following equation when X = 0, 1, -1. What is the shape of the graph?

Y = 3X²

Y = 0, 3, -3; Parabola

400

Find the Y-values for the following equation when X = 1, -1, 2, -2. What is the shape of the graph?

XY = -2

Y = -2, 2, -1, 1; Hyperbola

500

Graph the following equation.

X² + 9Y² = 36

Ellipse, (-6,0) (6,0) (0,2) (0,-2), Center: (0,0)

Miscellaneous

100

Write in Scientific Notation:

0.00000078

7.8 x 10^-7

200

What is the square root of 100Y²

10Y

300

Divide... / is the divided by symbol

(3X² + 2X - 4) / (x + 2)

3x - 4 r.4

400

Solve using Scientific Notation (use significant digits)

0.0004 x 5.8

2 x 10³

500

Solve using Scientific Notation.

7,800,000/120,000

6.5 x 10¹