Unit 7 Review

7.1Exponents

100

What is the base and exponent of the following term?

x^4

Base: x

Exponent: 4

200

Solve.

2^4

16

300

Solve.

3^-2

1/9

400

Solve.

1/(3^0)

1

500

Solve.

-(2^3)

-8

7.2Simplifying Exponents

100

Simplify

x^3 * x^2

x^5

200

Simplify

(2^4)^2

2^8 = 256

300

Simplify

2^4/2^2

2^2 = 4

400

Simplify

x^8/y^7

x^8/y^7

500

Simplify

((2x^3)/(yz))^-3

(y^3z^3)/(8x^9)

7.3Square Roots

100

Simplify.

sqrt(36)

6

200

Simplify

sqrt(x^4)

x^2

300

Simplify

sqrt(225)

15

400

What is the following square root between?

sqrt(32)

Between 5 and 6.

500

What is the following square root between?

sqrt(63)

Between 7 and 8

7.4Simplifying Radicals

100

Simplify the following.

sqrt18

3sqrt(2)

200

Simplify the following.

sqrt72

6sqrt(2)

300

Simplify the following.

sqrt(x^4)

sqrt(x^2)

400

Simplify the following.

sqrt(17/25)

17/5

500

Simplify the following.

sqrt(216a^2b^2)

6sqrt(6)ab

7.5Adding and Subtracting Radicals

100

Add or Subtract

3sqrt(7) + 4sqrt(7)

7sqrt(7)

200

Add or Subtract

4sqrt(6) - 4sqrt(7)

4sqrt(6) - 4sqrt(7)

300

Add or Subtract

2sqrt(6) + sqrt(6)

3sqrt(6)

400

Add or Subtract

6sqrt(2) + 5sqrt(2)-15sqrt(2)

-4sqrt2

500

Add or Subtract

4sqrt(5) + 4sqrt(7) - 2sqrt(5)

2sqrt(5) +4sqrt(7)

7.6Multiplying and Dividing Radicals

100

Solve and Simplify.

(5sqrt(3))^2

75

200

Solve and Simplify.

2sqrt(8x)sqrt(4x)

8xsqrt(2)

300

Solve and Simplify.

sqrt3(sqrt(3)-4)

3-4sqrt(3)

400

Solve and Simplify.

(sqrt(3)-5)(sqrt(5)+2)

sqrt(15)+2sqrt(3)-5sqrt(5)-10

500

Solve and Simplify.

(5+sqrt(10))^2

35+10sqrt(10)