Algebra Unit Review

Classify

100

Name the following polynomial

2a²b + 6c³d⁴

Binomial

200

Name the following polynomial

71x⁵ + 3y² - 20z³

Trinomial

300

Determine the degree of the polynomial

2a²b³c⁴ + 4ab⁶c

9

400

Determine the degree of the polynomial

5d²e⁵ +2d²ef³ -10d⁴f⁷ +1

11

500

Determine the degree of the polynomial

-15x²y²z⁸ + 9x³y⁶ – 15x³y²z³

12

Add/Subtract Polynomials

100

Simplify

4x² + 9x - 7 + 3x² - 4x - 13

7x² + 5x - 20

200

Simplify

5x² + 8xy - 7y² - 3x² + 3y² - 13xy

2x² - 5xy - 4y²

300

Simplify

4(x + 3) - 8(x - 1) + 6(x + 2)

2x + 32

400

If a triangle has side lengths (2a + 10b), (a - 3b) and (4a - b). What is the perimeter of the triangle?

7a + 6b

500

Find the area of the shaded region.

15x + 10

Exponent Laws

100

Simplify. (your final answer should have positive exponents only)

(x⁵)(x^-7)

1/x²

200

Simplify

(y³)(y⁶)(y⁴)

y¹³

300

Simplify

15a⁷b⁵ / 3a²b²

5a⁵b³

400

Simplify

(2x⁴y²z³)³

8x¹²y⁶z⁹

500

Simplify

(6c³d⁴ x 2c⁵d²) / (2c³d)²

3c²d⁴

Scientific Notation

100

Is the following in scientific notation? Explain why or why not.

3.69 x 5²

No, because it is not being multiplied by a base of 10

200

Convert the following into standard notation

5.67 x 10^-4

0.000567

300

Convert the following into scientific notation

150, 954

1.50954 x 10⁵

400

Multiply

(3.5 x 10⁴)(6.2 x 10³)

2.17 x 10⁸

500

Divide

2.3 x 10⁷ / 4.6 x 10⁵

5.0 x 10¹

Distributive Property

100

Simplify

2y(3y⁴ + 4y⁸)

6y⁵ + 8y⁹

200

Simplify

3x²y²(2x³y⁴ + 8x⁶y³)

6x⁵y⁶ + 24x⁸y⁵

300

Simplify

1/2 (12r² + 14r) + 1/4 (16r² - 12r)

10r² + 4r

400

Simplify

1/3 (24t² + 18t - 6) + 1/5 (35t² - 10t +5)

15t² + 4t - 1

500

Simplify

4(2x + 2) - 2[5(x + 3) + 3(x - 4)]

-8x + 2