Simplifying Basic Expressions

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Edexcel

Foundation June 2025 Paper 1R Q5

EdexcelCurrent spec7 marksSimplifying Basic ExpressionsSolving Simple Equations

5

(a) Simplify \(\quad 4e \times 7f\) (1)
(b) Simplify \(\quad d \times d \times d \times d \times d\) (1)
(c) Simplify \(\quad 3a + 2k + a - 7k\) (2)
(d) Solve \(\quad x + 6 = 15\) (1)
(e) Solve \(\quad 2r - 9 = 14\) (2)

Foundation June 2025 Paper 2 Q3

EdexcelCurrent spec5 marksSimplifying Basic ExpressionsSolving Simple Equations

3

(a) Simplify \(\quad d + d + d + d\) (1)
(b) Simplify \(\quad w \times w \times w \times w \times w\) (1)
(c) Solve \(\quad 6x = 42\) (1)
(d) Simplify \(\quad 7r + 9y + 3r - 4y\) (2)

Foundation November 2024 Paper 2 Q8

EdexcelCurrent spec10 marksForming EquationsSimplifying Basic Expressions

8

(a) Simplify \(\quad 7g + 3h + 4g - 5h\) (2)
(b) Simplify \(\quad 7a \times 4m\) (1)
(c) Solve \(\quad 5x - 7 = 12\) (2)
(d) Expand \(\quad 5(7k + 3)\) (1)
(e) Factorise \(\quad 9y + 12\) (1)

Max has \(c\) counters.
Bulan has 3 times as many counters as Max.
Chanda has 7 more counters than Max.

(f) Write an expression, in terms of \(c\), for the total number of counters that Max, Bulan and Chanda have.
Simplify your answer. (3)

Foundation November 2024 Paper 1 Q5

EdexcelCurrent spec7 marksSimplifying Basic ExpressionsSolving Simple Equations

5

(a) Simplify \(\quad 8d - 4d + 7d\) (1)
(b) Simplify \(\quad m \times 10p\) (1)
(c) Solve \(\quad x + 5 = -19\) (1)
(d) Solve \(\quad \dfrac{y}{8} = 6\) (1)
(e) Simplify \(\quad a \times a \times a \times a\) (1)

\(k = 8\) and \(n = 12\)

(f) Work out the value of \(\quad 9k - 4n\) (2)

Foundation January 2022 Paper 1R Q7

EdexcelCurrent spec5 marksSimplifying Basic ExpressionsSolving Simple Equations

7

(a) Simplify \(3c + 5d - c + 2d\) (2)
(b) Simplify \(8e \times 5f\) (1)
(c) Solve \(5r - 3 = 8\) (2)

Foundation November 2021 Paper 1 Q7

EdexcelCurrent spec6 marksSimplifying Basic ExpressionsSolving Simple Equations

7

(a) Solve \(\quad 5x = 20\) (1)
(b) Simplify \(\quad 3a \times 8b\) (1)
(c) Simplify \(\quad 8w - 4y + w - 3y\) (2)
(d) Factorise fully \(\quad 16 + 12t\) (2)

Foundation June 2021 Paper 2 Q8

EdexcelCurrent spec7 marksIndicesSimplifying Basic Expressions

8

(a) Simplify \(\quad w \times w \times w \times w \times w\) (1)
(b) Simplify \(\quad 5a \times 3c\) (1)
(c) Simplify \(\quad 3e + 2f - e + 5f\) (2)
(d) Solve \(\quad 5x - 7 = x + 12\)
Show clear algebraic working. (3)

Foundation June 2021 Paper 1 Q4

EdexcelCurrent spec4 marksSimplifying Basic ExpressionsSolving Simple Equations

4

(a) Simplify \(\quad 3 \times 10d\) (1)
(b) Simplify \(\quad 8e + e - 5e\) (1)
(c) Solve \(\quad 6g = 42\) (1)
(d) Solve \(\quad 24 = 10 + h\) (1)

Foundation January 2021 Paper 1R Q8

EdexcelCurrent spec4 marksIndicesSimplifying Basic Expressions

8

(a) Simplify \(\;a \times a \times a \times a\) (1)
(b) Simplify \(\;4b \times 5c\) (1)
(c) Simplify \(\;6d + 2e + d - 5e\) (2)

Foundation January 2021 Paper 2 Q7

EdexcelCurrent spec8 marksFactorisingSimplifying Basic Expressions

7

(a) Simplify \(\;p + p + p + p + p + p\) (1)
(b) Simplify \(\;5y^2 + 6y^2 - 3y^2\) (1)
(c) Simplify \(\;e \times e \times e \times e \times e\) (1)
(d) Simplify \(\;5c \times 4d\) (1)
(e) Solve \(\;x - 7 = 19\) (1)

\(18^2 + 15^2 - 5^3 = 4n\)

(f) Work out the value of \(n\). (2)
(g) Factorise \(9t - 6\) (1)

Foundation January 2021 Paper 1 Q7

EdexcelCurrent spec4 marksSimplifying Basic ExpressionsSolving Simple Equations

7

(a) Simplify \(\;10x + 4y + 3x - 6y\) (2)
(b) Solve \(\;2n + 5 = 16\) (2)

Foundation November 2020 Paper 1 Q7

EdexcelCurrent spec6 marksSimplifying Basic ExpressionsSolving Simple Equations

7

(a) Simplify \(\;5c \times d\) (1)
(b) Solve \(\;x + 5 = 12\) (1)
(c) Solve \(\;9y = 36\) (1)
(d) Simplify \(\;8k + 5m - 2k + 6m\) (2)
(e) Expand \(\;4(3g + 1)\) (1)

Foundation November 2020 Paper 1R Q5

EdexcelCurrent spec8 marksManipulating Formulae/ Changing the SubjectSimplifying Basic Expressions

5

(a) Simplify \(\quad w + w + w + w - w\) (1)
(b) Simplify \(\quad 4 \times a \times 2\) (1)
(c) Simplify \(\quad f \times f \times f \times f \times f\) (1)
(d) Simplify \(\quad 4c + 4h + 5c - 6h\) (2)
(e) Factorise \(\quad 10d + 15\) (1)
(f) Make \(t\) the subject of \(\quad e = 7t + g\) (2)

Foundation January 2020 Paper 2R Q12

EdexcelCurrent spec6 marksIndicesSimplifying Basic Expressions

12

(a) Simplify \(\;k + k + k + k\) (1)

\(f = 9 \times 9 \times 9 \times 9\)

(b)
(i) Write \(f\) as a single power of 9
(ii) Write \(f\) as a single power of 3
(2)
(c) Write \(\;5^{17} \times 5^2\;\) as a single power of 5 (1)
(d) Write 800 as a product of its prime factors.
Show your working clearly. (2)

Foundation January 2020 Paper 1 Q8

EdexcelCurrent spec7 marksSimplifying Basic ExpressionsSubstitution

8

(a) Simplify \(\quad 6m - 2k + 5m - k\) (2)

\(P = 2a + 3b\)

(b) Work out the value of \(P\) when \(a = 5\) and \(b = 8\) (2)

\(P = 2a + 3b\)

(c) Work out the value of \(a\) when \(P = 16\) and \(b = 20\) (3)

Foundation January 2020 Paper 1R Q6

EdexcelCurrent spec7 marksSimplifying Basic ExpressionsSolving Simple Equations

6

(a) Simplify \(\;3r \times 5t\) (1)
(b) Solve \(\;4x + 5 = 27\) (2)

\(P = 7w - 5y\)

(c) Find the value of \(P\) when \(\;w = 2\;\) and \(\;y = 4\) (2)

\(Q = 2u^2 - 5\)

(d) Find the value of \(Q\) when \(\;u = -3\) (2)

Foundation June 2018 Paper 1 Q5

EdexcelCurrent spec6 marksSimplifying Basic ExpressionsSolving Simple Equations

5

(a) Simplify \(6x + 8x - 3x\) (1)
(b) Simplify \(4e \times 5f\) (1)
(c) Solve \(8p = 24\) (1)
(d) Solve \(k - 4 = 13\) (1)
(e) Simplify \(10t + 4d - 3t + 2d\) (2)