Math
Algebra warm-up
Linear equations, slope, and translating a word problem into an equation.
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Add 8 to both sides: 5x = 35. Divide by 5: x = 7.
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Slope is the change in y over the change in x: (17 − 5) / (6 − 2) = 12 / 4 = 3.
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Distribute first: 3x + 12 = 2x + 19. Subtract 2x from both sides: x + 12 = 19, so x = 7.
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Square before you multiply: f(−4) = 2(−4)² − 3 = 2(16) − 3 = 32 − 3 = 29. Squaring a negative gives a positive.
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The $30 is charged once no matter what, so it stands alone. The $0.10 depends on how much data you use, so it multiplies g: C = 30 + 0.10g.
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