Mathematics (US) - 0444 CIE

Create And Solve Linear Equations

Muhtasari

An equation is a balance: whatever you do to one side, you must do to the other. Solving a linear equation means peeling away operations one at a time until the unknown stands alone. It is one of the most powerful moves in mathematics, turning a worded puzzle into a single clear answer.

In this lesson you will create linear equations from words and solve equations in one unknown, including those with brackets and fractions. The guiding rule never changes: keep the equation balanced by doing the same thing to both sides, and you will always reach the solution.

Malengo

  1. Create and solve linear equations in one unknown, including those with fractional expressions.

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Maelezo ya Somo

Linear equations are the workhorse of algebra. Whenever an unknown quantity is linked to known ones by addition, subtraction, multiplication or division, a linear equation captures the link and solving it reveals the unknown. Turning words into equations is a skill you will use in every applied topic that follows.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Create And Solve Linear Equations. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  1. Solve 3x + 5 = 20. A. x = 3 B. x = 5 C. x = 7 D. x = 15 Answer: B
  2. Solve 2(x + 3) = x + 11. A. x = 2 B. x = 4 C. x = 5 D. x = 8 Answer: C
  3. Solve x/4 + 2 = 5. A. x = 3 B. x = 7 C. x = 12 D. x = 28 Answer: C
  4. A number multiplied by 4 then increased by 7 gives 31. What is the number? A. 6 B. 7 C. 9 D. 24 Answer: A
  5. Solve 5x - 3 = 2x + 9. A. x = 2 B. x = 3 C. x = 4 D. x = 6 Answer: C

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