Unit 1 Review

Square Roots

100

sqrt(64)

+/- 8

200

sqrt(81)

+/- 9

300

sqrt(100)

+/- 10

400

sqrt(169)

+/- 13

500

-√25

-5

Powers and Exponents

100

Evaluate this expression

240⁰

240^{0 = 1}

200

Evaluate this expression

x² is x = 11

121

300

Express the following in expanded form:

(3)^3

(3)(3)(3)

400

Express this expression using exponents

8 · 8 · c · c · c · c · d · d · d

8 ² c ⁴ d ³ 

500

Express the following in expanded form 

(-5)^2

(-5)(-5)

Negative Exponents

100

Write each expression using a positive exponent.

( -2) ^{- 6} 

1/(-2)^6

200

Write each expression using a positive exponent.

q^-5

1/(q^5)

300

Write the expression below using a negative exponent

1/(5^2)

5^-2

400

Simplify:

11^-2

1/11^2

500

Simplify:

n^-2 m^4

m^4/n^2

Properties of Powers

100

Simplify the expression using properties of powers 

x³ · x⁵

x⁸

200

Simplify the expression using properties of powers 

(-v)^-3 (-v)⁷

(-v )⁴ 

300

Simplify the expression using properties of powers 

(9x^3)/(3x)

3x²

400

Simplify the expression using properties of powers.

(x^3)/(x^7)

1/(x^4

500

Simplify the expression using properties of powers 

(y^-4z⁵)⁶

(z^30)/(y^24

Simplifying Radicals

100

Simplify

sqrt(12)

+-2sqrt3

200

Simplify:

sqrt(84)

+-2sqrt(21)

300

Simplify

√72

+-6sqrt2

400

Simplify

√150

+-5sqrt6

500

Simplify

√200

+-10sqrt2

Properties

100

List the first 10 perfect squares

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

200

Anything to the power of zero is equal to_________, except ______.

1, except 0

300

Raising a power to a power we....

multiply the exponents

400

like base times a like base we....

add exponents

500

dividing a like base by a like base we...

subtract exponents