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5.06 Solve rational equations

Adaptive
Worksheet

Interactive practice questions

When a number is added to both the numerator and denominator of $\frac{1}{5}$15, the result is $\frac{3}{7}$37.

Let $n$n represent the number. Solve for $n$n.

Easy
2min

The Cryodon Group wishes to calculate the average cost per item of producing wheelchairs. The fixed monthly cost of production is $\$200000$$200000 and each wheelchair produced costs $\$100$$100.

Medium
4min

A driveway measuring $140$140 square feet is to be paved. Harry has an apprentice working for him and divides the job between the two of them so that the area he paves divided by the area his apprentice paves equals $3$3.

Find $x$x, the area Harry will pave.

Medium
3min

Beth and Elizabeth both played a season of basketball and finished the season having scored $32$32 points each. Beth played $8$8 games during the season, while Elizabeth played fewer games and had a game average that was $4$4 higher than Beth’s. Find $n$n, how many fewer games Elizabeth played than Beth.

Medium
3min
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Outcomes

A2.EI.4

The student will represent, solve, and interpret the solution to an equation containing rational algebraic expressions.

A2.EI.4a

Create an equation containing a rational expression to model a contextual situation.

A2.EI.4b

Solve rational equations with real solutions containing factorable algebraic expressions algebraically and graphically. Algebraic expressions should be limited to linear and quadratic expressions.

A2.EI.4c

Verify possible solution(s) to rational equations algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

A2.EI.4d

Justify why a possible solution to an equation containing a rational expression might be extraneous.

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