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Laabri

Copy of ALGEBRA 1 - UNIT 7 - POLYNOMIALS OPERATIONS AND MODELS - EXAM (8/9/2024)

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20 Nsɛmmisa
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1.

LEVEL 2

What is the product of (10a)(8C)?

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2.

LEVEL 2

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3.

LEVEL 2

What is the product of

SHOW YOUR WORK

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4.

LEVEL 2

Which expression is equivalent to

SHOW YOUR WORK

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5.

LEVEL 2

SHOW YOUR WORK

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6.

LEVEL 2

Complete the table with the correct values for the degree of the polynomial and its leading coefficient.

Mmuae Afoforo a Wobɛpaw:
3
12
7
17
8
4
4
5
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7.

LEVEL 2

Factor the GCF of

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8.

LEVEL 2

Factor the GCF of

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9.

LEVEL 2

Factor the quadratic:

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10.

LEVEL 2

Factor the quadratic:

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11.

LEVEL 3

Write the power in standard form:

SHOW YOUR WORK

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12.

LEVEL 3

Write the product in standard form:

SHOW YOUR WORK.

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13.

LEVEL 3

Write the product in standard form:

(4x + 5)(4x - 5)

SHOW YOUR WORK.

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14.

LEVEL 3

Simplify the following expression:

SHOW YOUR WORK.

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15.

LEVEL 3

Simplify the following expression:

SHOW YOUR WORK.

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16.

LEVEL 3

Simplify the following expression:

SHOW YOUR WORK.

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17.

LEVEL 3

Factor the following quadratic trinomial:

SHOW YOUR WORK

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18.

LEVEL 3

Factor the following quadratic trinomial:

SHOW YOUR WORK.

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19.

LEVEL 3

Factor the following quadratic trinomial:

SHOW YOUR WORK.

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20.

LEVEL 4

The side length of an isosceles right triangle is in meters.

Part A: When written in standard form, what is the leading coefficient of the triangle's area?

Part B: What is the area of the triangle in square meters when x=3?

SHOW YOUR WORK

Unit 7 Review: Polynomial Operations & Models

Directions: Complete each problem. Show your work when asked.


A. Multiply Monomials & Use the Distributive Property

  1. Find the product: $(10a)(8c)$

  2. Write in standard form: $4y(6y^2+4y^3-8)$


B. Multiply Binomials (FOIL)

  1. Find the product: $(6a+7)(5a-4)$

  2. Find the product (difference of squares): $(4x+5)(4x-5)$


C. Powers of Binomials

  1. Write the power in standard form: $(7p+2q)^2$

  2. Expand and simplify: $(3p-9)^2$


D. Combine Like Terms

  1. Simplify: $(5a^2-3b)-(8a^2+2a-6b)$

  2. Simplify: $(5a+8b^2-14b)+(-7b-8b^2+15a)$


E. Factoring

  1. Factor out the GCF: $6x+18$

  2. Factor out the GCF: $9x^3-12x^2+6x$

  3. Factor: $x^2+7x-8$

  4. Factor (difference of squares): $64x^2-9$

  5. Factor: $x^2+6x+8$

  6. Factor: $x^2+2x-8$

  7. Factor: $3x^2+7x+2$


F. Models / Application

  1. Isosceles right triangle: The leg length is $x$ meters.

  • Part A: Write the area in standard form and state the leading coefficient.

  • Part B: Find the area when $x=3$.