Chapter 4 8.2

Numerical Expressions with Exponents

100

compare the expressions (>,<,=)

(-6)²          -6² 

>

200

evaluate

5 - 3⁴

-76

300

2³ :{4² -3²+(-2)³}

-8

400

3 [ 5 + 5 (2 x 4 - 3)]²

2700

500

3² : (2² - 1) - (5² - 3²) : (-2)²

5

Algebraic Expressions with Exponents

100

Simplify:  n³n²n⁷   

n¹²

200

(2x²)³

8x⁶

300

y - (z+z²) evaluate when y = 10, and z = 2

4

400

2/7a² x 21a⁵

6a⁷

500

4h²k²/7k x 21hk⁵/2h

6h²k⁶

Simplify Expressions with Exponents

100

Simplify:  (a²-3a-5)-(-a²-6a+7)

2a² + 3a - 12

200

Simplify:  (-a³b)(-a²b³) (-ab³)

-a⁶b⁷

300

2x(x-3) + x(5-x)

x² - x

400

1/2s²t(4t² - 10st + 6s²)

2s²t³ - 5s³t² + 3s⁴t

500

2x(x - 3) - x(5 - x)

3x² - 11x

Solving Equations with Exponents

100

(x + 2)(x - 5)= (x - 1) (x - 3)

13

200

(3x + 5) (2x - 3) = (x - 1) (6x + 5) 

5

300

Solve for r 

C= 2ar

r = c/2a

a is not 0

400

I= Prt

Solve for P

P = 1/rt r and t are not zeros 

500

One third of the sum of two consecutive odd integers is five less than the smaller integer. Find both integers.

17,19