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CSEE (Form 4) Equations and inequalities — practice questions

Explore 6 free Equations and inequalities questions in CSEE (Form 4) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Equations and inequalities questions and exercises with answers

Showing questions 1–6 of 6.

You subtract 5 from the left-hand side of an equation. What must you also do?Read the answer and worked solution →How many solutions can a quadratic equation have at most?Read the answer and worked solution →Two linear equations are drawn on the same set of axes. Where is the solution of the system found?Read the answer and worked solution →A yard holds only bicycles and tricycles. There are 10 cycles in total and 23 wheels. How many tricycles are there?Read the answer and worked solution →Solve the quadratic equation x squared minus 5x plus 6 equals 0.Read the answer and worked solution →Call each statement true or falseRead the answer and worked solution →

Worked practice questions

You subtract 5 from the left-hand side of an equation. What must you also do?

  1. Add 5 on the right as well
  2. Subtract 5 on the right too
  3. Divide the right side by 5
  4. Leave the right side alone
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Correct answer: B. Subtract 5 on the right too

1. An equation states that the two sides are equal in value. 2. An equation must always stay balanced, so whatever you do to the left-hand side you must also do to the right-hand side. 3. Subtracting 5 from only one side would break that equality. 4. Always check the answer at the end by substituting it back into the original equation. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 4: Equations and inequalities_

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How many solutions can a quadratic equation have at most?

  1. At most one
  2. At most four
  3. Exactly three
  4. At most two
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Correct answer: D. At most two

1. A quadratic equation has a variable whose exponent is at most two. 2. A linear equation has only one solution, while a quadratic equation has at most two solutions. 3. It is solved by writing it in standard form and then factorising it. 4. Some quadratics give only one solution, which happens when both factors turn out to be the same. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 4: Equations and inequalities_

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Two linear equations are drawn on the same set of axes. Where is the solution of the system found?

  1. At the point of intersection
  2. At the y-intercept of each
  3. At the x-intercept of each
  4. At the steepest point drawn
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Correct answer: A. At the point of intersection

1. Simultaneous equations are satisfied by the same pair of values at the same time. 2. Drawing each linear equation gives a straight line. 3. The solution is the coordinates of the point at which the two graphs intersect. 4. If the lines are parallel they never meet, and then the system has no solution. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 4: Equations and inequalities_

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More Mathematics topics

AlgebraApplication of IntegralsBinomial TheoremCalculusClass11 Sets BasicsClass11 Sets OperationsClass12 Functions BasicsClass12 Relations Basics