Podcast
Questions and Answers
What is the simplified form of $20x^4y^5 imes 5xy$?
What is the simplified form of $20x^4y^5 imes 5xy$?
- $25x^5y^5$
- $25x^5y^6$ (correct)
- $100x^5y^5$
- $100x^5y^6$
Which of the following is a factor of $x^2 + x - 6$?
Which of the following is a factor of $x^2 + x - 6$?
- $(x + 4)$
- $(x - 3)$
- $(x + 2)$ (correct)
- $(x - 5)$
What is the simplified form of $(8x^5y)(2x^2y^3)$?
What is the simplified form of $(8x^5y)(2x^2y^3)$?
- $16x^7y^3$
- $16x^7y^8$
- $16x^9y^4$ (correct)
- $10x^7y^4$
Which expressions are factors of $x^2 + 15x - 34$?
Which expressions are factors of $x^2 + 15x - 34$?
Which expression is equivalent to $16x^2 - 9$?
Which expression is equivalent to $16x^2 - 9$?
In the expression $(x + 6)(__ + __) = x^2 + __ x + 30$, what should fill the blanks?
In the expression $(x + 6)(__ + __) = x^2 + __ x + 30$, what should fill the blanks?
What is the total area of Tasha's rectangular block of wood represented by $(7x - 5)(2x - 3)$?
What is the total area of Tasha's rectangular block of wood represented by $(7x - 5)(2x - 3)$?
What is the factorization of $x^2 + 6x + 8$?
What is the factorization of $x^2 + 6x + 8$?
Study Notes
Algebra 1 EL 5: Factoring and Exponent Test
Simplification
- Simplify: 2 (expression not provided)
- Simplify: 20𝑥 4 𝑦 5𝑥𝑦 4 (expression not provided)
Factoring
- Factor: (expression not provided)
- Factor into a product of 2 binomials: 𝑥 2 + 6𝑥 + 8
- Factor into a product of binomials: 𝑥2 + 𝑥 − 6
- Factor by GCF: (𝑥 + 4)(𝑥 + 6)
Exponent Rules
- Simplify completely: (8𝑥 5 𝑦)(2𝑥 2 𝑦 3 )
- Simplify: 𝑥 2 − 7𝑥 + 10 · (𝑥 2 )4
Equations
- Fill in the blanks to make the following true: –6x 3
- Fill in the blanks to make the following a true statement: 𝑥 7 = −18𝑥 9
- Fill in the blanks to make the following a true statement: (𝑥 + 6)(______ + _______) = 𝑥 2 + _______𝑥 + 30
Applications
- Tasha is painting a rectangular block of wood: total area of the block of wood
- Area = length × width = (7x – 5)(2x – 3)
Factoring Expressions
- Find the factors of: x2 + 15x – 34
- (x + 2) (x + 17) are factors
- Which expression is equivalent to 16𝑥 2 − 9?
Product
- Find the product: 3x(5x2 – 2x + ______ ) = 15x3 _________ + 3x
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Description
Test your knowledge on factoring, simplifying, and exponent rules in Algebra 1 with this quiz. Practice simplifying expressions, factoring polynomials, and multiplying exponents. Get ready for your Algebra 1 test!
