MPA Math Refresher 2022 > Session 3: Single Equation Algebra and Graphing

Solutions to Practice Problems

Problem 1

(a) `q=400-5p`

(b) Vertical intercept at `p=80`, horizontal intercept at `q=400`, slope = `- 1/5=-0.2`.

Problem 2

(a) `p=30-1/2 t`

(b) `q=15,000-25p`

Problem 3

(a) `y=5/3 x`

(b) Both intercepts are at the origin: `y=0` and `x=0`. The slope is `5/3`.

Problem 4

(a) `L=(18^2 Q^2)/K`

(b) `m=2 P_x^0.5 P_y^0.5 u`

Problem 5

(a) Vertical intercept at `y=380`, horizontal intercept at `x=253 1/3`, slope = `-3/2=-1.5`

(b) Vertical intercept at `y=20`, horizontal intercept at `x=-100`, slope = `1/5=0.2`

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Peter J Wilcoxen, The Maxwell School, Syracuse University
Revised 08/15/2022