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Heather H.

Senior Undergraduate at Washington University in St. Louis

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Pre-Algebra

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Question:

x + 7 = 2 Solve for x.

Heather H.

Answer:

x + 7 = 2 ---> subtract from each side x = -5

ACT

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Question:

Bobby gave 20% of his baseball cards to Joe and 15% to Sam. If he still had 520 cards, how many did he originally have?

Heather H.

Answer:

We know Bobby gave away 35% of his baseball cards in total. That means he kept 65% of his original cards. We can set up an equation with c representing the number of cards Bobby originally had. c x 0.65 = 520 c = 800 Answer: 800

Algebra

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Question:

2x + 3y = 7 3x + 2y = 8 Solve for x and y.

Heather H.

Answer:

2x + 3y = 7 multiply by 3 ---> 6x + 9y = 21 3x + 2y = 8 multiply by 2 ---> 6x + 4y = 16 (subtract from above equation) ---> 5y = 5 ---> y = 1 plug y = 1 into 2x + 3y = 7 to find x ---> x = 2 Answer: y = 1, x = 2

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