Question 1
1 markSimplify the algebraic expression: \( 3(2x - 5) - 4(x + 2) \).
IB Middle Years Programme (MYP) · Mathematics
Factorization and Algebraic Fractions: Practice Questions
5 multiple-choice questions marked as you go, and 2 written questions with worked solutions. All on Factorization and Algebraic Fractions.
7 questions14 marksFree, no account
Question 2
1 markThe figure shows a rectangle with the given side lengths. If the perimeter of the rectangle is \( 38 \) units, find the value of \( x \).
Question 3
1 markSolve the following equation for \( x \):
\( \frac{2x - 1}{3} - \frac{x + 4}{2} = 1 \)
Question 4
1 markSolve the following linear equation for \( x \):
\( \frac{x}{4} + 7 = 12 \)
Question 5
1 markFind the value of \( y \) that satisfies the equation:
\( 5(y - 2) = 2(y + 7) \)
Question 6
4 marksA rectangular garden has a length that is \( 7 \) meters longer than its width. Given that the area of the garden is \( 60 \text{ m}^2 \), find its perimeter in meters.
Write your answer out first, then check it against the worked solution.
Question 7
5 marksA cyclist travels from town A to town B, a distance of \(30\) km. On the return journey from B back to A, the cyclist increases their average speed by \(5\) km/h. If the return journey takes exactly \(1\) hour less than the outward journey, calculate the cyclist's average speed for the outward journey in km/h.
Write your answer out first, then check it against the worked solution.
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