Algebra 1 - Chapter 7 Review Game

Scientific Notations

100

Write the quotient in scientific notation:

450,000 divided by 9

5 * 10⁴

200

Write the quotient in scientific notation:

(4.5 * 10⁹) - (0.6 * 10⁹)

3.9 * 10⁹

300

Convert to scientific notation:

0.000036

3.6 * 10^-5

400

Write the product in scientific notation:

(1.3 * 10⁴) (2 * 10^-2)

2.6 * 10²

500

Write the sum in scientific notation:

(5 * 10⁶) + (4.3 * 10⁴⁾

5.043 * 10⁶

Exponents

100

Find the product:

x⁴ * y⁵x³

x⁷ * y⁵

200

Name this exponent rule:

(ab)^m = a^mb^m

Power of a Product Property of Exponent

300

Find the missing exponent:

(3a³)^? *2a³ = 18a⁹

? = 2

400

Simplify the expression:

(-2s) (-5r³st)³ (-2r⁴st⁷)²

1000s⁶r¹⁷t¹⁷

500

Evaluate the expression:

(-8)^1/3 (-8)^-2/3 (-8)^1/3

1 

Add/Subtract Polynomials

100

Solve:

2x⁴ - 6y³ + x⁴ -3y³

3x⁴ - 9y³

200

Solve:

3x² + 5 - 7x² + 12

-4x² + 17

300

Solve:

(15y² - 7y - 21) - (5y² - 3y + 5y)

10y² - 9y -21 

400

Solve: 

(2x² + 3x + 1) - (7x² - 2x + 7x³)

7x³ - 5x² + 5x + 1

500

Add the polynomials:

(4x³ + 12x² + 8x + 6) + (5x² - 6x +9)

4x³ + 17x² + 14x + 15

Multiply Polynomials

100

Find the product:

6v (2v + 3)

12v² + 18v

200

Find the product:

(4x + 4y) (8x - 6y)

32x² + 8xy - 24y² 

300

Find the product:

8x³ (2x² + 8xy + 6y²)

16x⁵ + 64x⁴y + 48x³y²

400

Find the product:

3xy⁵ (2x² - 8xy - 2y²)

6x³y⁵ - 24x²y⁶ - 6xy⁷

500

Find the product:

(8m - 8n) (3m² + 8mn - n²)

24m³ + 40m²n - 72mn² + 8n³

Special Products of Polynomials

100

Find the product:

(n - 1) (n + 1)

n²-1

200

Find the product:

(n + 3)²

n² + 6n + 9

300

Find the product:

(2k² + 1)²

4k⁴ + 4k² + 1

400

Find the product:

(2 + 5n²)²

4 + 20n² + 25n⁴

500

Find the product:

(-9x² - 10y)²

81x⁴ + 180x²y +100y²