Chapter 5 Test Review (B1)

Exponent Rules

100

Simplify: 5⁹/5⁴

5⁵ = 3125

200

Simplify: (x⁵y³)(x⁶y)

x¹¹y⁴

300

Express using positive exponents: (5^-1)(5^-3)

1/5⁴ = 1/625

400

Simplify using positive exponents: -3a/9a⁵

-1/3a⁴

500

Simplify: (-3x²)² / x⁴

9

Scientific Notation

100

When writing a number in scientific notation, the number multiplied by 10 and an exponent must be between what two numbers? 

1 and 10

200

Write using scientific notation: 0.000451

4.51 * 10^-4

300

Write using standard notation: 6.234 * 10⁵

623,400

400

Write in scientific notation: 1,367,421,000

1.367421 * 10⁹

500

Divide. Express your answer in scientific notation. 

6.0 * 10³ / 8.0 * 10⁷

7.5 * 10^-5

Adding Polynomials

100

Collect like terms: 3x² + 4x + 5x²

8x² + 4x

200

Add: (4y² + 2y + 10) + (6y² - 4y +16)

10y² - 2y + 26

300

Add: (3a + 2) + (4a - 3) 

7a - 1

400

x² + 3x + 4 + (2x² +4x + 1)

3x² + 7x + 5

500

(4x⁵ - 6x³ -9x) + (6x³ + 9x² + 9x)

4x⁵ + 9x²

Subtracting Polynomials

100

In order to subtract polynomials, you need to do what with the second polynomial? 

Find the additive inverse.

200

Subtract: (4y² + 2y + 10) - (6y² - 4y + 16)

-2y² + 6y - 6

300

Subtract: (5x² + 6) - (4x² + 8)

x² - 2

400

Subtract: (3y³ - 4y + 7) - (2y³ + 2y² - 3y)

y³ - 2y² - y + 7

500

Simplify: (-6z² - 3z + 1) + (3z - 5) - (-4z² - 9z)

-2z² + 9z - 4

Multiplying Polynomials

100

What do the letters stand for in F. O. I. L.? (Must be listed in order!)

First, outer, inner, last

200

Multiply: (x + 4)(x - 3) 

x² + x - 12

300

Multiply: (5x + 2y)²

25x² + 20xy + 4y²

400

Multiply: (2m - n)(3m + 4n)

6m² + 5mn - 4n²

500

Multiply: (x² + 6x + 1)(x² - 3x + 5)

x⁴ + 3x³ - 12x² + 27x + 5