Question 1
1 markSolve the linear equation \( 8x + 5 = 21 \).
Key Stage 3 (KS3) · Mathematics
Linear Equations: Practice Questions
5 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Linear Equations.
9 questions20 marksFree, no account
Question 2
1 markA rectangular field has a length of \( (2x + 5) \) m and a width of \( (x - 2) \) m. If the perimeter is 42 m, find the value of \( x \).
Question 3
1 markSolve the linear equation \( 4(x - 3) = 20 \).
Question 4
1 markThe sum of three consecutive integers is 72. Let the smallest integer be \( n \). Which equation can be used to find the value of \( n \)?
Question 5
1 markSolve the linear equation:
\( 9 - 4x = 25 \)
Question 6
3 marksSolve the linear equation \( \frac{2x - 3}{5} = 3 \) for \( x \).
Write your answer out first, then check it against the worked solution.
Question 7
5 marksSolve the linear equation \( 3(2x - 5) = 4x + 7 \) for \( x \).
Write your answer out first, then check it against the worked solution.
Question 8
3 marksConsider the linear equation:
\( 7(x - 2) = 3x + 10 \)
(a) Solve the equation for \( x \).
(b) Using the value of \( x \) found in part (a), find the value of \( y \) if \( y = 2x^2 - 15 \).
Write your answer out first, then check it against the worked solution.
Question 9
4 marksThe sum of three consecutive integers is 72.
(a) If the smallest integer is \( x \), write an equation to represent this information.
(b) Solve the equation to find the three integers.
Write your answer out first, then check it against the worked solution.
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