Unit 1 Review

Polynomials

100

How many terms are in the polynomial?

7x²-3x+x⁵-7+x³

5

200

What is the leading coefficient?

2x³-9x²+x²-4+4x³

6

300

Write the polynomial in Standard Form: 

7x²-3x+x⁵-7+x³

x⁵+x³-7x²+-3x

400

If x=1, what is the value of the polynomial?  

2x³-9x²+x²-4+4x³

-6

500

Simplify (x-2)(x+8)

x²+6x-16

Exponents

100

Simplify the following: 

(4xy)²

16x²y²

200

Simplify the following: 

(3x²)³

27x⁶

300

Simplify (6x+7)-(3x²-4x)

-3x²+10x+7

400

Simplify the following: (4w⁷x^-2)³

64w²¹/x⁶

500

Simplify (x²y^-5)(x⁴y³)

x⁶/y²

Properties

100

The rule that refers to grouping is the ____ property. 

Associative 

200

This property multiplies the value outside of the parentheses with each of the terms in the brackets. 

Distributive property

300

Using the distributive property, this expression would simplify to....

x(3x²+4x+7)

3x³+4x²+7x

400

Identify the expression with the property used to find the equivalent expression.

x²+x(2+5)-3=x²+(2+5)x-3

Commutative 

500

Identify the expression with the property used to find the equivalent expression.

x³+x²-3x=x(x²+x-3)

Distributive Property

Word Problems

100

Fill in each blank with the word always, sometimes or never.

The product of an irrational number and a rational number is ___________ an integer.

Always 

200

Fill in each blank with the word always, sometimes or never.

The sum of two integers is ___________ an irrational number.

Never

300

The band is selling candy bars for a fundraiser to raise money for a trip to Disney.  The cost to produce the candy bars can be represented by the expression , 3/4(150+12c) where c is the total number of candy bars produced.  Write a simplified expression that represents this situation.

112.50+9c

400

From 1995 to 2005 the total time families watched tv together each year increased steadily.  The total hours h can be modeled by the following expression: h=17,221(3/4)^t  where t=0 corresponds to 1995.

About how many hours did families watch tv together in 1995?

 

17,221

500

You are comparing cell phone plans.  Company A offers a monthly fee of $35 plus $10 per GB of data.  Company B offers a monthly fee of $70 plus $5 per GB of data.  Let g represent the number of GB used each month.  Write out two expressions. 

Company A- 35+10g

Company B - 70+6g