Unit 2 Review MTH1W1

Exponent Laws

100

The answer is:

4⁸ ÷ 4⁵ ÷ 4

Give the question as a single power do not evaluate!

What is 4²?

200

The answer is:

0.01⁶ ÷ 0.01⁴

Give the question as both a single power and then evaluate!

What is 0.01² and 1 x 10^-4?

300

The answer is:

g⁵ × g³ ÷ g⁸

Give the question as a simplification of the answer!

What is g⁰ or 1?

400

The answer is:

10h⁴ ÷ 6h²

Give the simplified version and then plug in h=3 to solve.

What is 5/3 h² and 15?

500

The answer is:

(-2x⁵y³)⁴ × (x²y)⁷ 

What is 16x³⁴y¹⁹ ?

Definitions + M/D Monomials

100

-45x²y⁵

(What is the coefficient in this term?)

What is -45?

200

The following polynomial is identified as such:

6a²+5ab-4b²

What is trinomial?

300

The answer is:

5a²b² × 3a³b²

What is 15a⁵b⁴ ?

400

This is the difference between an expression and an equation.

What is when a polynomial is by itself versus when it is equated to another polynomial?

500

The answer is:

8x⁷⁶y³⁴ ÷ -2x⁴⁵y³¹

What is -4x³¹y³ ?

Adding + Subtracting Polynomials

100

Simplify.

8k-2k

What is 6k?

200

Simplify.

3x + 5 + 2x + 1

What is 5x + 6?

300

Simplify.

3x - 8 - 4 + 3

What is 3x - 9?

400

Simplify.

-6 - 3ab + 2a² + 4b² + 7 + 5ab - 3b - 2a²

What is 2ab + 4b² - 3b + 1?

500

Simplify.

(2uv² - 3v) - (v + 3u) + (4uv² - 9u)

What is 6uv² - 4v - 12u?

Distributive Property

100

Expand.

4(x+2)

What is 4x + 8?

200

Expand.

y(y-4)

What is y² - 4y?

300

Expand.

-4w(3w -1)

What is -12w² + 4w?

400

Expand.

(7m + 6)(-4)

What is -28m - 24?

500

Expand and Simplify.

2[-m - 2(m - 1)]

What is -6m + 4?

Applications

100

The length of a rectangle is 7 times the width, minus 24. (Length = 7w - 24).

This is the simplified algebraic equation that represents its area.

What is 7w² - 24w?

200

An isosceles triangle has two sides that are 5x - 3 and one side that is 3x + 4.

Find the perimeter.

What is 13x - 2?

300

The length of a rectangle garden is 2 meters more than 2 times the width. Give a simplified expression of the area.

What is 2w²+2w?

400

The length of a rectangular pool is 4 meters more than its width. There is also a cement border that goes around the whole pool that is 2 meters in length. Give an expression for the area of both the pool and the border together.

What is (w+2)(w+6)?

500

The schools clubs know they can make different amounts of fundraising profit depending on how many months they can run their fundraisers. The art club can make a profit of 100m - 57. The math club can make a profit of 98m - 24. And the science club can make a profit of 48m - 2.

This is the total profit after 5 months.

What is $1147?