Math 7 Mini Midterm

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What is the formula to calculate the number of weeks it takes to produce a certain number of items if a shop produces a fixed number of items in a given time?

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To find the number of weeks, use the formula: \( \text{Weeks} = \frac{\text{Total Items}}{\text{Items per Period}} \times \text{Time Period} \).

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Translate the phrase '8 less than the product of 4 and a number' into an algebraic expression using variable m.

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The expression is: \( 4m - 8 \).

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What is the Inverse Property in mathematics?

Back

The Inverse Property states that for any number a, the sum of a and its additive inverse (-a) is 0. Example: \( 15 + (-15) = 0 \).

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Back

The simplified expression is: \( -m + 17 \).

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Back

The simplified expression is: \( 11a + 5 \).

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What is the Associative Property?

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The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. Example: \( (a + b) + c = a + (b + c) \).

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding 0 to any number does not change the number. Example: \( a + 0 = a \).

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What does it mean to simplify an expression?

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To simplify an expression means to combine like terms and reduce it to its simplest form.

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.