Algebra Chapter 15 Review

15.1

100

How do you find the degree of a monomial? 

Adding together the exponents of the variables. 

200

What are 3 out of the 4 reasons why a term would be a non-monomial?

1) Multiple Terms

2) Variable in the Denominator

3) Negative Exponent

4) Fractional Exponent

300

What is the degree of this monomial: 23x³y⁵z ?

The degree is 9.

400

Find the product: (12x⁴y⁶)(15x²yz)(xyz)(–10)

–1800x⁷y⁸z²

500

Using the formula V = lwh, find the volume of a rectangular prism with a length of 2x, a width of 3x², and a height of 4x.

24x⁴ units³

15.2

100

Which prefix means 'many'?

Poly

200

How are polynomials classified?

By the number of terms within the polynomial: monomial, binomial, trinomial. 

300

Write this polynomial in standard form and give the leading coefficient and degree of the polynomial: 

3x⁴ – 7x⁵ + 2 + 12x – 12x⁷

– 12x⁷ – 7x⁵ + 3x⁴ + 12x + 2

LC = – 12 and Deg = 7

400

Find the product: (12x³ – 3x)(2x⁴ + 9) 

Give your answer in standard form. 

24x⁷ – 6x⁵ + 108x³  – 27x 

500

Find the product: (4x² + 5x – 10)(–2x² + 7x – 1) 

–8x⁴ + 18x³ + 51x² – 75x + 10 

15.3

100

How many different special binomial patterns did we learn? 

Three: Sum and Difference, Square of a Sum and Square of a Difference.

200

What are two out of the three special patterns? 

(a + b)² = a² + 2ab + b²

(a – b)² = a² – 2ab + b²

(a + b)(a – b) = a² – b²

300

Using the Square of a Sum Pattern, (a + b)² = a² + 2ab + b²,  find the product: (6x + 4)².

36x² + 48x + 16 

400

Using the Sum and Difference Pattern find the product: (10x³ + 3xy²)(10x³ – 3xy²)

(100x⁶ – 9x²y⁴)

500

Using the special patterns find the product: 

(2x⁵ – 5)²(–3x + 10)

–12x¹¹ + 40x¹⁰ + 60x⁶ – 200x⁵ – 75x + 250 

Math Review

100

What is the name of the number system we use in Algebra 1? 

The Real Number System 

200

What is the slope and y-intercept of the line 

2x + 4y = 24 

m = –1/2 and b = 6

300

Write the equation of the line given that the line has a zero at 2 and a slope of –2. 

y = –2x + 4 

400

Solve for the variable: 

12(–12x + 3) + 10 = 2x – 10(15x + 3) – 30 

x = –26.5 

500

Solve the system using any method: 

2x – 5y = – 10 

7y = 38 – 2x 

(5, 4) 

Misc.

100

What is the color of Sonic the Hedgehog? 

Blue 

200

Which animal is the mascot for the Hufflepuff house in the Harry Potter books?

The Badger

300

What does a camel store in its hump?

Fat

400

The line "To be or not to be" comes from which Shakespeare play?

Hamlet

500

How many time zones are there in Russia?

11