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Questions and Answers
200 km/hr → mi/______
200 km/hr → mi/______
min
25 gal/sec → ______/min
25 gal/sec → ______/min
L
Twice the difference of 8 and a number x.
Twice the difference of 8 and a number x.
2(8 - x)
The quotient of 4 and the sum of m and n.
The quotient of 4 and the sum of m and n.
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5 fewer than the sum of 7 and p.
5 fewer than the sum of 7 and p.
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−2𝑦 = 5 + 4𝑥
−2𝑦 = 5 + 4𝑥
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18 = −3𝑦 − 9𝑥
18 = −3𝑦 − 9𝑥
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4𝑥 3 ∙ 6𝑥 2
4𝑥 3 ∙ 6𝑥 2
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Study Notes
Conversions
- 1 kilometer is equivalent to 0.621371 miles, so 200 km/hr can be converted to mi/hr by multiplying by this factor
- 1 gallon is equivalent to 60 seconds, so 25 gal/sec can be converted to gallons per minute by multiplying by 60
Algebraic Expressions
- The expression "Twice the difference of 8 and a number x" can be written as 2(8 - x) or 16 - 2x
- The quotient of 4 and the sum of m and n can be written as 4 / (m + n)
- The expression "5 fewer than the sum of 7 and p" can be written as 7 + p - 5 or 2 + p
Linear Equations
- The equation -2y = 5 + 4x can be rewritten as y = -2x - 5/2
- The equation 18 = -3y - 9x can be rewritten as 3y + 9x = -18
Polynomials
- The expression 4x³ ∙ 6x² can be simplified to 24x⁵
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