Determine if each of the following expressions are equivalent to 32 - 8x. Explai

Question

Determine if each of the following expressions are equivalent to 32 - 8x. Explain your reasoning for each. a) 32 - 12x + 4x Yes No b) 2(16 - 4x) Yes No c) -8x + 32 Yes No d) 24x Yes No Ms. Bruce bought 16 oranges and 22 apples for a total of $30.44. She knows that each orange costs $0.50 and reasoned that each apple must cost a little more than $1.00. Is this guess reasonable? Why or why Not? Mr. Gordon buys 4 shirts and 8 hats for a total of $88.00. If the hats cost $10.00 each, how much does each shirt cost?

Explanation / Answer

9. Let x be the cost of a shirt and y be the cost of a hat

Given 4x + 8y = $88.00

y = $10.00

=> 4x + 8*10.00 = 88.00

=> 4x + 80.00 = 88.00

=> 4x = 88.00 - 80.00

=> 4x = 8.00

=> x = 8.00/4

=> x = $2.00

Thus each shirt costs $2.00

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