Pre Unit 4 Review

Square & Cube Roots

100

sqrt(64)

 

8

200

-√25

-5

300

cube root of 125

cube root of 125

=5

400

Find the square root.

sqrt(-81)

No Solution

500

3sqrt(-64)

3sqrt(-64)

= -4

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 and standard form:

-5^2

-(5)(5)

-25

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 each fraction as an expression using a negative exponent other than -1.

1/(5^2)

5^-2

400

Write each fraction as an expression using a negative exponent other than -1.

1/(121)

11^-2

500

Write each fraction as an expression using a negative exponent other than -1.

1/(27)

3^-3

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

Approximating Square Roots

100

Estimate each square root to the nearest INTEGER. 

sqrt(84)

≈ 9

200

Estimate each square root to the nearest INTEGER. 

sqrt(230)

≈ 15

300

Estimate each square root to the nearest INTEGER. 

√39

≈ 6

400

Estimate each square root to the nearest INTEGER. 

-√150

≈ -12 

500

Estimate each square root to the nearest INTEGER

±√200

≈ ±14