Chapter 7 Review

Scientific Notation

100

What is the value of 10^-6?

.000001

200

Write 1,000,000 as a power of 10. 

10⁶

300

Find the value of 52.8 x 10⁶.

52,800,000

400

In 1950, about 3,880,000 households in the US had televisions. Write this in scientific notation. 

3.88 x 10⁵

500

The space telescope Hubble orbits the Earth every 97 minutes, and travels more than 1.50 x 10⁸ miles every year. Write an estimate of the distance traveled per day in scientific notation. 

1.5 x 10⁶

Exponents

100

6⁰

1

200

(-2)^-5

-1/32

300

10r^-3s⁴

10s⁴/r³

400

Evaluate the expression for the given values. (-2xy)^-3

1/8

500

The volume of a fresh water tank can be expressed as x³y^-2z liters. Determine the volume of the tank if x=4, y=3,  and z=6.

42.67

Polynomial Characteristics

100

Find the degree of 14x²yz⁵

8

200

Classify the polynomial according to degree and terms. 6t+54t²-1

Quadratic Trinomial 

300

Write the polynomial in standard form and give the leading coefficient. 2(3x+4)-4x+8x²

8x²+2x+8; leading coefficient is 8

400

Evaluate the expression for the given value. 4m-4-4m² for m=-2

-28

500

A company's profit in dollars can be modeled with the polynomial -0.5x²+100x-200 where x is the number of items sold. What is the profit if they sell 15 products?

$1187.50

Operations on Polynomials

100

(-cb²+2b-14c)+(3cb²+3c-3b)

2cb²-b-11c

200

(-3p+pm-m²)-(2m²-13p-5pm)

-3m2 + 10p +6pm

300

(5x+y)(x²+xy+y²)

5x³+y³+6x²y+6xy²

400

(x²+3y)(x²-3y)

x⁴-9y²

500

A rectangle has a length that is 3 more than double the width. Write the area of the rectangle as a simplified polynomial. 

2w²+3w