OCR MEI C1 — Question 13 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCompleting the square and sketching
TypeRearrange to make variable subject (quadratic)
DifficultyModerate -0.5 This is a straightforward algebraic manipulation requiring expansion, collection of terms with y, and factorization. It's slightly easier than average because it follows a standard procedure (expand, collect like terms, factor) with no conceptual difficulty, though it requires careful execution of multiple steps for 4 marks.
Spec1.02c Simultaneous equations: two variables by elimination and substitution

Rearrange \(y + 5 = x(y + 2)\) to make \(y\) the subject of the formula. [4]

Question 13:
AnswerMarks
13y + 5 = xy + 2x
y − xy = 2x − 5 oe or ft
y (1 − x) = 2x − 5 oe or ft
2x−5
[y =] oe or ft as final answer
AnswerMarks
1−xM1
M1
M1
AnswerMarks
M1for expansion
for collecting terms
for taking out y factor; dep on xy term
for division and no wrong work after
ft earlier errors for equivalent steps if
AnswerMarks
error does not simplify problem4
Question 13:
13 | y + 5 = xy + 2x
y − xy = 2x − 5 oe or ft
y (1 − x) = 2x − 5 oe or ft
2x−5
[y =] oe or ft as final answer
1−x | M1
M1
M1
M1 | for expansion
for collecting terms
for taking out y factor; dep on xy term
for division and no wrong work after
ft earlier errors for equivalent steps if
error does not simplify problem | 4
Rearrange $y + 5 = x(y + 2)$ to make $y$ the subject of the formula. [4]

\hfill \mbox{\textit{OCR MEI C1  Q13 [4]}}