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Standards›HSF.LE

HSF.LE Linear, Quadratic & Exponential Models worksheets

Worksheets for 2 Common Core standards in Linear, Quadratic & Exponential Models, high school Functions. Each worksheet has three levels and an answer key.

Make a mixed HSF.LE worksheet
HSF.LE.A.2HSF.LE.A.4
Slope-intercept formHSF.LE.A.2(−7, 1) and (−9, −7)Write y = mx + b from a slope and a point, or from two points.Exponential growth and decayHSF.LE.A.2A town has 5,750 people, and its population grows by 10% each year. How many people will live there after 3 years? Round to the nearest whole number.Evaluate exponential functions and use y = a(1 + r)ᵗ and y = a(1 − r)ᵗ for percent growth and decay.Writing exponential functionsHSF.LE.A.2(2, 45) and (3, 135)Find a and b in y = a·bˣ from two points one step apart, including decay with a fractional base.Writing linear equations from graphsHSF.LE.A.2Write the equation of the line.xy−6−4−20246−6−4−20246Read two points on a graphed line, find its slope from the rise over the run, and write its equation in slope-intercept form.Evaluating logarithmsHSF.LE.A.4log5 15Evaluate logarithms by asking what power of the base gives the number, including answers that are negative or fractions.Properties of logarithms (expanding and condensing)HSF.LE.A.4log2 x5y2zUse the product, quotient and power rules to expand a logarithm into separate logs, and to condense several logs into one.Solving exponential equationsHSF.LE.A.44x = 8x − 1Solve exponential equations by writing both sides with the same base, and with logarithms when that isn't possible.Solving logarithmic equationsHSF.LE.A.4log5 (4x − 8) = log5 (x + 4)Solve logarithmic equations by rewriting them in exponential form, combining logs first when there are two, and rejecting extraneous solutions.