1. $55 000 − $1 000 = $54 000 $54 000 : 2 = $27 000 A n s w er : B
2. − 4 ( x − 11 ) = 16 − 4 ⋅ x − 4 ⋅ ( − 11 ) = 16 − 4 x + 44 = 16 / : ( − 4 ) − 4 x : ( − 4 ) + 44 : ( − 4 ) = 16 : ( − 4 ) x − 11 = − 4 A n s w er : G
Question #1: Since it is unknown how much they paid for the original painting, we'll use x to represent that. 2x+1000 is equal to 55,000, so that is our equation. 2x+1000=55,000 2x=54,000 x=27,000 **The Leungs originally paid $27,000 (answer choice B)
***Question #12: *-4(x-11)=16 Apply the distributive property. -4x+44=16 -4x=--28 x=7 **Since x=7, let's figure out which answer choice can be possible by subsituting the x in each answer choice with 7. ***Answer choice F: Does 7-11=4? No, so this answer can't be correct. Answer choice G: Does 7-11=-4? **Yes! This answer is correct. ** Answer choice H: Does -28-11=16? No, so this answer can't be correct. Answer choice I: Does -28+44=64? No, so this answer can't be correct. *******It is answer choice G. **
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The first question identifies all given options as linear equations, while the second question defines the relationship between total hours and square footage as y = x + 4 .
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