Algebra 1 Test #4 Review

Integer Exponents

100

Anything raised to the 0 power is always?

1

200

What does a negative exponent do to a variable?

It flips the variable from numerator to denominator or vice versa

300

Simplify xyz⁰

xy

400

Simplify m²p^-3n

m²n / p³

500

Simplify (ab)^-2cd⁰

c / a²b²

Exponent Rules

100

When we multiply variables with the same base, what do we do with the exponents?

Add them

200

When we raise a power to another power, what do we do with the exponents?

multiply them

300

Simplify  x⁵*x⁵*x

x¹¹

400

Simplify m¹⁰ / m¹²

m^-2   or   1 / m²

500

Simplify  (ab³)²

a²b⁶

Rational Exponents

100

What does the word "rational" mean in math?

fraction

200

What is a "radical" in math?

The square root symbol

300

What is 9^1/2 ?

3

400

What is 8^2/3 ?

4

500

What is (x⁶)^1/3 ?

x²

Add/Subtract Polynomials

100

When combining like terms, the terms have to match in which two ways?

variable and exponent

200

What is the coefficient of x² ?

1

300

Simplify (a²b² + 5x) + (10x + 3a²b²)

4a²b²+15x

400

Simplify (2xy² + p³) - (2xy² - p²)

p³ - p²

500

Simplify (5x²y² - ab³) + (3x²y² + ab³) - 8x²y²

0

Multiply Polynomials

100

What is the official math term for a multiplication problem?

product

200

Simplify (6x)(5y)

30xy

300

Simplify 3x(2x - 3)

6x² - 9x

400

Simplify (x+3)(x-4)

x²-x-12

500

Simplify (3x²+2)²

9x⁴+12x²+4