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Multiplying Powers

100

Simplify the expression 

4^3 * 4^6

4⁹

200

What is the product of 3x³ and 5x⁷?

15x¹⁰

300

What is the product of 3x⁴y² and 5x²y?

15x⁶y³

400

What is the product of 4n^x and n

4n^x+1

500

The expression 5^x+2y is equivalent to

1) (5^x)(5²)(5^y)

2) (5^x)(25^y)

3) 25^2x+y

4) 25^x+2y

2) (5^x)(25^y)

5^x+2^y = (5^x)(5^2y) = (5^x)(25^y)

Dividing Powers

100

What is half of 2⁴?

2³

200

What is the quotient of 

(12x^6)/(3x^2)

4x^4

300

What is the quotient when -16a⁶ is divided by -4x³?

4x³

400

The expression 

(5x^4y^4)/(x^8y^2)

is equivalent to

1: 5x^2y^2

2: (5y)/(x^2)

3: 5x^14y^2

4: (5y^2)/(x^4)

4: (5y^2)/(x^4)

500

Simplify:

(21a^2b^7)/((3a^4)(4b^4))

(7b^3)/(4a^2)

Parts of an Expression

100

What is the constant term of the polynomial

4n + 8 + 2n² ?

8

200

When 3x² + 7x⁴ + 6 + 2x³ is written in standard form, what is the leading coefficient?

7

300

Which expression has a leading coefficient of 7, a degree of 7 and the constant term of 8.

1) 7x⁷ + 6x⁵ + 3x³ + 8x

2) 3x³ + 6x⁵ + 7x⁷ + 8x

3) 8 + 7x⁷ + 6x⁵ + 3x³

4) 8 + 7x³ + 3x⁵ + 6x⁷

3) 8 + 7x⁷ + 6x⁵ + 3x³

400

Which expressions are in standard form:

1) 12x³ + 6x + 3

2) 10x⁴ - 6x + 3x² - 1

3 2x⁵ + 8x³ + 10x

1 & 3

500

When (x + 4)(2x² + 5) is expressed as a polynomial in standard form, which statement about the resulting polynomial is true?

1) The constant term is 2.

2) The leading coefficient is 2.

3) The degree is 2.

4) The number of terms is 2.

2) The leading coefficient is 2.

Expression Word Problems

100

Write the expression “6 less than twice x”

2x - 6

200

Write the expression that is "three times the sum of a number and 5".

3(x + 5)

300

Dave currently has a collection of 24 shells that he found on the beach. If he collects 's' number of shells each week for 'w' weeks, what will be the total number of shells he will have? Write the number as an expression.

24 + sw

400

Marcy determined that her father's age is 5 less than four times her age. If y represents Marcy's age, what is her father's age?

4y - 5

500

What is the perimeter of a square with a side whose length is x - 2?

4x - 8

Degree

100

What is the degree of x³

3

200

What is the degree of 6y⁵

5

300

What is the degree of x+3

1

400

What is the degree of 5x²+x⁴+1

4

500

What is the degree of (2x³)(x²+1) when it is expressed as a polynomial in standard form

5