Pre-Algebra Topic 2

Exponent Laws

100

Simplify 3⁴ _x  3^-2

9

200

Simplify (x⁷ * x^-3)/x²

x²

300

Apply the Laws of Exponents to simplify (-2a³b^-4)³

-8a⁹/b¹²

400

Evaluate the numerical expression [(2³*2^-5)^-2]/2²

4

Scientific Notation

100

Convert the standard decimal number 0.00048 into scientific notation.

4.8 * 10^-4

200

Which is greater: 6.2 * 10^-5 or 1.8 * 10^-4

1.8 * 10^-4

300

The diameter of a red blood cell is approx. 8 × 10^-6 meters. The diameter of a virus particle is approx. 1 × 10^-7 meters. How many times larger is the red blood cell?

80 times larger

400

Prompt: A smartphone memory chip holds 3.2 × 10¹⁰ bytes. An old storage disk holds 1.6 × 10⁶ bytes. How many times larger is the smartphone chip capacity compared to the disk?

20,000 times larger

Operations

100

Find the sum: (3.1 × 10⁵) + (4.5 × 10⁵). Express your answer in scientific notation.

7.6 x 10⁵

200

Multiply (2.5 × 10⁴) × (3.0 × 10^-7). Express the product in scientific notation.

7.5 x 10^-3

300

Divide (1.2 × 10⁸) / (4.0 × 10³). Express in proper scientific notation.

3 x 10⁴

400

Subtract (8.4 × 10⁷) - (5.2 × 10⁶). Express your answer in scientific notation.

7.88 x 10⁷

Multiplying Linear

100

Multiply the two monomial expressions: (-4x)(6x).

-24x²

200

Apply properties of operations to multiply: (2/3 y)(-9y).

-6y²

300

Use the distributive property to multiply the monomial and linear expression: 0.4x(5x - 10).

2x² - 4x

400

Multiply the rational expression: -3/4 m (8m - 12).

-6m²+ 9m

Factor

100

Identify the greatest common monomial factor for the two terms: 15x² and 25x.

5x

200

Rewrite the sum 12a + 28 as a common factor multiplied by the sum of two terms.

4