Chapter 5 and First Semester Review

Name that Polynomial!

100

Is the following term a monomial, binomial, trinomial, or not a polynomial?

4ab

monomial

200

Is the following term a monomial, binomial, trinomial, or not a polynomial?

-9x^-8

Not a polynomial

300

Is the following term a monomial, binomial, trinomial, or not a polynomial?

-3x - 12

binomial

400

Is the following term a monomial, binomial, trinomial, or not a polynomial?

-13x+4x²+15

trinomial

500

Is the following term a monomial, binomial, trinomial, or not a polynomial?

2g²/gh²

Not a polynomial

Adding, Subtracting Polynomials and Multiplying Monomials

100

Simplify. Write the answer in standard form.

(3x² + 4x -3) + (5x² - 6x +3)

8x² - 2x

200

Simplify. Write the answer in standard form.

(7x² - 12) - (4x² - 21)

3x² + 9

300

Simplify. Write the answer in standard form.

(x²+19x-4)-(6x²-8x+13)

-5x² + 27x -17

400

Simplify. Write the answer in standard form.

(23x² y)(4xy)

92x³y²

500

Simplify. Write the answer in standard form.

-9a² (3a⁴-4a²+a)

-27a⁶+36a⁴-9a³

Multiplying and Dividing Polynomials

100

Simplify. Write the answer in standard form.

(v+12)(v-7)

v² + 5v - 84

200

Simplify. Write the answer in standard form.

(4a+13b)(2a-b)

8a² + 22a -13b²

300

Simplify. Write the answer in standard form.

64m⁶ n³÷(-4m²)

-16m⁴n³

400

Simplify. Write the answer in standard form.

(6q⁹-9q⁸+12q⁵)÷3q⁵

2q⁴-3q³+4

500

Find the area of a rectangle that has a length of (v+12) and a width of (v-7).

Hint: What is the area formula?

v² + 5v - 84

Factoring Fun!

100

Find the GCF.

32x⁵ y³+40x³ y⁴+48x² y⁵

8x²y³

200

Factor: 140a⁴ b² - 180a² b²

20a²b²(7a²-9)

300

Factor: 24m⁶+48m⁴+12m²

12m²(2m⁴+4m²+1)

400

Factor:  x²-11x+24

(x-3)(x-8)

500

Factor: x²-3x-10

(x-3)(x-8)

Mixed Bag!

100

Exponent Rules:

When we multiply exponents with the same base, we ______________ the exponents.

add

200

When we divide exponents with the same base, we _______________ the exponents.

subtract

300

When we raise a power to a power, we ______________ the exponents.

Any nonzero number raised to the power of zero equals ____________!

multiply

one

400

Write in Scientific Notation

29,500

2.95 x 10⁴

500

Isabella's Ice Cream Shop charges $3.25 for a single scoop ice cream cone, and toppings are $0.75 each. Ivan's Ice Cream Parlor charges $2.50 for a single scoop ice cream cone, and toppings cost $1.00 each. What is the number of toppings a customer can order so that the total cost is the same at both shops?

The cost will be the same at both shops if the customer orders three toppings.