Evaluating algebraic expressions by substitution practice exercise 5

Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \).

Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \). (1 mark)

Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \). (1 mark)

Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \). (1 mark)

The cost \( C \) in KES of hiring buses for a school trip is given by: \( C = (25n + 150)(n + 4) \) If \( n = 8 \), find the total cost.

The cost \( C \) in KES of hiring buses for a school trip is given by: \( C = (25n + 150)(n + 4) \). If \( n = 8 \), find the total cost.  (1 mark)

The cost \( C \) in KES of hiring buses for a school trip is given by: \( C = (25n + 150)(n + 4) \). If \( n = 8 \), find the total cost.  (1 mark)

A trapezium-shaped swimming pool has parallel sides (3a + 4b) m and (a + 2b) m, and height (2a + b) m. Find its area when a = 8 and b = 5.

A trapezium-shaped swimming pool has parallel sides (3a + 4b) m and (a + 2b) m, and height (2a + b) m. Find its area when a = 8 and b = 5. (1 mark)

A trapezium-shaped swimming pool has parallel sides (3a + 4b) m and (a + 2b) m, and height (2a + b) m. Find its area when a = 8 and b = 5. (1 mark)

A rectangular billboard has length (7m + 4n) m and width (2m – n) m. Find its perimeter when m = 5 and n = 3.

A rectangular billboard has length (7m + 4n) m and width (2m – n) m as shown below. Find its perimeter when m = 5 and n = 3. (1 mark)

A rectangular billboard has length (7m + 4n) m and width (2m – n) m as shown below. Find its perimeter when m = 5 and n = 3. (1 mark)

A rectangular billboard has length (7m + 4n) m and width (2m – n) m as shown below. Find its perimeter when m = 5 and n = 3. (1 mark)

A farmer’s earnings \( E \) in KES are given by: \( E = (50b - 100)(2b + 5) \) If \( b = 10 \), find \( E \).

A farmer’s earnings \( E \) in KES are given by: \( E = (50b - 100)(2b + 5) \) If \( b = 10 \), find \( E \).  (1 mark)

A farmer’s earnings (E) in KES are given by the formula: E=(50b−100)(2b+5). If b=10, find E. (1 mark)

A farmer’s earnings (E) in KES are given by the formula: E=(50b−100)(2b+5). If b=10, find E. (1 mark)

A square garden has side length (5p – 2q) m. Find its area when p = 6 and q = 4.

A square garden has side length (5p – 2q) m. Find its area when p = 6 and q = 4. (1 mark)

A square garden has side length (5p – 2q) m. Find its area when p = 6 and q = 4. (1 mark)

A square garden has side length (5p – 2q) m. Find its area when p = 6 and q = 4. (1 mark)

A right-angled triangular billboard has base (6x – y) cm and height (3x + 2y) cm. Find its area when x = 7 and y = 4.

A right-angled triangular billboard has base (6x – y) cm and height (3x + 2y) cm as show below. Find its area when x = 7 and y = 4. (1 mark)

A right-angled triangular billboard has base (6x – y) cm and height (3x + 2y) cm as show below. Find its area when x = 7 and y = 4. (1 mark)

The diagram below represents a triangular plot of land with base (4a + 3b) m and height (2a + b) m. Find its area when a = 5 and b = 3.

The diagram below represents a triangular plot of land with base (4a + 3b) m and height (2a + b) m. Find its area when a = 5 and b = 3. (1 mark)

The diagram below represents a triangular plot of land with base (4a + 3b) m and height (2a + b) m. Find its area when a = 5 and b = 3. (1 mark)

A transport company charges \( T = (45k + 300)(3k - 5) \) shillings for transporting goods, where \( k \) is the number of tonnes. If \( k = 9 \), find \( T \).

A transport company charges \( T = (45k + 300)(3k - 5) \) shillings for transporting goods, where \( k \) is the number of tonnes. If \( k = 9 \), find \( T \).  (1 mark)

A transport company charges \( T = (45k + 300)(3k - 5) \) shillings for transporting goods, where \( k \) is the number of tonnes. If \( k = 9 \), find \( T \).  (1 mark)

Find \( s \) if \( s = 5 + \frac{2}{3}t \) and \( t = 15 \).

Find \( s \) if \( s = 5 + \frac{2}{3}t \) and \( t = 15 \).  (1 mark)

Find \( s \) if \( s = 5 + \frac{2}{3}t \) and \( t = 15 \).  (1 mark)