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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?
- -4
- 2(-5) + 2(3) (correct)
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 $-4(9+6)$?
What is the value of $6d - 2c$ if $d=3$ and $c=4$?
What is the value of $6d - 2c$ if $d=3$ and $c=4$?
What is the property of multiplication in the expression $(3 x) 8 = 3 (x 8)$?
What is the property of multiplication in the expression $(3 x) 8 = 3 (x 8)$?
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.
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.
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