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Unit test: 20 questions, easy to hard, 2 points each, roomy spacing. Keeps your selected skills.

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Equations & inequalities

Multi-step inequalitiesHSA.REI.B.3Absolute value equationsHSA.CED.A.1Literal equationsHSA.CED.A.4Compound inequalitiesHSA.REI.B.3Direct and inverse variationHSA.CED.A.2Systems of equations word problemsHSA.CED.A.3Linear equation word problemsHSA.CED.A.1

Linear functions & sequences

Slope-intercept formHSF.LE.A.2Parallel and perpendicular linesHSG.GPE.B.5Evaluating functionsHSF.IF.A.2Arithmetic and geometric sequencesHSF.BF.A.2Standard and point-slope formHSA.CED.A.2Average rate of changeHSF.IF.B.6Domain and rangeHSF.IF.A.1Writing linear equations from graphsHSF.LE.A.2Graphs of linear inequalitiesHSA.REI.D.12

Polynomials & factoring

Adding and subtracting polynomialsHSA.APR.A.1Multiplying polynomialsHSA.APR.A.1Factoring trinomialsHSA.SSE.A.2Factoring: GCF and special productsHSA.SSE.A.2Dividing polynomials by monomialsHSA.APR.D.6

Quadratic functions & equations

Solving quadratics by factoringHSA.REI.B.4bVertex of a parabolaHSF.IF.C.7aCompleting the squareHSA.SSE.B.3bThe quadratic formulaHSA.REI.B.4bSolving quadratics with square rootsHSA.REI.B.4bWriting equations of parabolasHSF.BF.B.3Key features of quadratic graphsHSF.IF.B.4

Radicals & exponential functions

Simplifying radicalsHSN.RN.A.2Exponential growth and decayHSF.LE.A.2Radical equationsHSA.REI.A.2Rational exponentsHSN.RN.A.1Writing exponential functionsHSF.LE.A.2

Statistics

Quartiles and the interquartile rangeHSS.ID.A.2Lines of best fitHSS.ID.B.6

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1. Linear equation word problems

Questions

Difficulty

Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettingsShow answers

Name ______________________Date ____________Score ____ / 12

Linear equation word problems practice

Linear equation word problems · 1–12

Write an equation and solve it.

Hard

1.Two cars leave the same place at the same time and drive in opposite directions at 53 km/h and 58 km/h. After how many hours are they 222 km apart?

Hard

2.Two cars leave the same place at the same time and drive in opposite directions at 49 km/h and 31 km/h. After how many hours are they 480 km apart?

Hard

3.Two cars leave the same place at the same time and drive in opposite directions at 58 km/h and 56 km/h. After how many hours are they 228 km apart?

Hard

4.Two cars leave the same place at the same time and drive in opposite directions at 57 km/h and 52 km/h. After how many hours are they 436 km apart?

Hard

5.Two cars leave the same place at the same time and drive in opposite directions at 39 km/h and 53 km/h. After how many hours are they 368 km apart?

Hard

6.Two cars leave the same place at the same time and drive in opposite directions at 49 km/h and 54 km/h. After how many hours are they 515 km apart?

Hard

7.Two cars leave the same place at the same time and drive in opposite directions at 52 km/h and 43 km/h. After how many hours are they 380 km apart?

Hard

8.Two cars leave the same place at the same time and drive in opposite directions at 43 km/h and 56 km/h. After how many hours are they 198 km apart?

Hard

9.Two cars leave the same place at the same time and drive in opposite directions at 37 km/h and 61 km/h. After how many hours are they 392 km apart?

Hard

10.Two cars leave the same place at the same time and drive in opposite directions at 38 km/h and 31 km/h. After how many hours are they 345 km apart?

Hard

11.Two cars leave the same place at the same time and drive in opposite directions at 66 km/h and 48 km/h. After how many hours are they 684 km apart?

Hard

12.Two cars leave the same place at the same time and drive in opposite directions at 37 km/h and 60 km/h. After how many hours are they 194 km apart?

Answer key — Linear equation word problems practice

Linear equation word problems

1.2 h

2.6 h

3.2 h

4.4 h

5.4 h

6.5 h

7.4 h

8.2 h

9.4 h

10.5 h

11.6 h

12.2 h

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