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Questions and Answers
Use the distributive property to write $2(-5+3)$ as an equivalent expression. What is the value?
Use the distributive property to write $2(-5+3)$ as an equivalent expression. What is the value?
What is the result of subtracting $(-x-2) - (4x+3)$?
What is the result of subtracting $(-x-2) - (4x+3)$?
-5x - 5
What is the value of $-4(9+6)$?
What is the value of $-4(9+6)$?
-60
What is the value of $-4(9+6)$?
What is the value of $-4(9+6)$?
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What is the value of $6d - 2c$ if $d=3$ and $c=4$?
What is the value of $6d - 2c$ if $d=3$ and $c=4$?
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What is the property of multiplication in the expression $(3 x) 8 = 3 (x 8)$?
What is the property of multiplication in the expression $(3 x) 8 = 3 (x 8)$?
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The area of a rectangular pool is $(15x-9)$ square units. Factor $15x-9$ to find possible dimensions of the pool.
The area of a rectangular pool is $(15x-9)$ square units. Factor $15x-9$ to find possible dimensions of the pool.
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Two friends bought a $14 pizza. Each person bought their own drink. The total cost can be represented by the expression $2x + 14$. What expression represents the cost of food for one person?
Two friends bought a $14 pizza. Each person bought their own drink. The total cost can be represented by the expression $2x + 14$. What expression represents the cost of food for one person?
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Study Notes
Distributive Property
- The expression 2(-5+3) can be simplified using the distributive property: 2(-5) + 2(3).
- The value of the expression is -4.
Subtraction of Expressions
- To subtract the expressions (-x-2) - (4x+3), combine like terms to get -5x - 5.
Evaluating Expressions
- For the expression -4(9+6), the value calculated is -60.
- Note: A second occurrence of this expression incorrectly states its value as 7, which is incorrect.
Substituting Values in Expressions
- Evaluating 6d-2c when d=3 and c=4 results in a total of 10.
Properties of Multiplication
- The equation (3 x) 8 = 3 (x 8) illustrates the associative property of multiplication.
Factoring
- The area of a rectangular pool given by the expression (15x-9) can be factored to dimensions of 3 units by (5x-3) units.
Cost Sharing
- For a pizza costing $14, with an additional cost for drinks represented by the expression $2x + $14, the cost of food for one person can be expressed as (x + 7) dollars.
Studying That Suits You
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Description
Test your understanding of algebraic expressions with these flashcards designed for Form 2A. Each card provides problems related to the distributive property and variable manipulation. Challenge yourself to find the correct values and equivalent expressions.
