Evaluating algebraic expressions by substitution practice exercise 3

If a = 5 and b = 7, evaluate: (a² + b²) / (a + b)

If a = 5 and b = 7, evaluate:\( \frac{a^2 + b^2}{a + b} \). (1mark)

If a = 5 and b = 7, evaluate:\( \frac{a^2 + b^2}{a + b} \). (1mark)

A carpenter in Nakuru has a board made of three wooden pieces joined together. Their lengths in cm are: 3x + 2 x + 5 2x − 1 If x = 4, what is the total length of the board?

A carpenter in Nakuru has a board made of three wooden pieces joined together. Their lengths in cm are: 3x + 2, x + 5,2x − 1. If x = 4, what is the total length of the board?  (1mark)

A carpenter in Nakuru has a board made of three wooden pieces joined together. Their lengths in cm are: 3x + 2, x + 5,2x − 1. If x = 4, what is the total length of the board?  (1mark)

A carpenter in Nakuru has a board made of three wooden pieces joined together. Their lengths in cm are: 3x + 2, x + 5,2x − 1. If x = 4, what is the total length of the board?  (1mark)

A carpenter in Nakuru has a board made of three wooden pieces joined together. Their lengths in cm are: 3x + 2, x + 5,2x − 1. If x = 4, what is the total length of the board?  (1 mark)

Evaluate \(4xy + y^2\) given \(xy = 15\) and \(y = 5\).

Evaluate \(4xy + y^2\) given \(xy = 15\) and \(y = 5\).  (1 mark)

Evaluate \(4xy + y^2\) given \(xy = 15\) and \(y = 5\).  (1 mark)

Evaluate \((r + s)(r - s)\) given \(rs = 15\) and \(s = 3\).

Evaluate \((r + s)(r - s)\) given \(rs = 15\) and \(s = 3\).  (1 mark)

Evaluate \((r + s)(r - s)\) given \(rs = 15\) and \(s = 3\).  (1 mark)

In a relay race held in Kakamega, three students run distances represented by: 2x + 3 x − 2 4x + 1 If x = 3, calculate the total distance run in metres.

In a relay race held in Kakamega, three students run distances represented by: 2x + 3,  x − 2, 4x + 1.If x = 3, calculate the total distance run in metres.  (1mark)

In a relay race held in Kakamega, three students run distances represented by: 2x + 3,  x − 2, 4x + 1.If x = 3, calculate the total distance run in metres.  (1mark)

In a relay race held in Kakamega, three students run distances represented by: 2x + 3,  x − 2, 4x + 1.If x = 3, calculate the total distance run in metres.  (1mark)

In a relay race held in Kakamega, three students run distances represented by: 2x + 3,  x − 2, 4x + 1.If x = 3, calculate the total distance run in metres.  (1mark)

In a relay race held in Kakamega, three students run distances represented by: 2x + 3,  x − 2, 4x + 1.If x = 3, calculate the total distance run in metres.  (1mark)

In a relay race held in Kakamega, three students run distances represented by: 2x + 3,  x − 2, 4x + 1.If x = 3, calculate the total distance run in metres.  (1 mark)

If a = 6, b = 2, and c = 4, evaluate: (a² − b² + c) / (a − b)

If a = 6, b = 2, and c = 4, evaluate:\( \frac{a² - b² + c}{a - b} \). (1mark)

If a = 6, b = 2, and c = 4, evaluate:\( \frac{a^2 - b^2 + c}{a - b} \). (1mark)

If a = 6, b = 2, and c = 4, evaluate:\( \frac{a^2 - b^2 + c}{a - b} \). (1mark)

If a = 6, b = 2, and c = 4, evaluate:\( \frac{a^2 - b^2 + c}{a - b} \). (1 mark)

A matatu charges KES f per km and an extra KES c as a constant charge. If f = 15 and c = 30, evaluate the cost for 10 km using: 10f + c

A matatu charges KES f per km and an extra KES c as a constant charge. If f = 15 and c = 30, evaluate the cost for 10 km using: 10f + c.  (1mark)

A matatu charges KES f per km and an extra KES c as a constant charge. If f = 15 and c = 30, evaluate the cost for 10 km using: 10f + c.  (1mark)

A matatu charges KES f per km and an extra KES c as a constant charge. If f = 15 and c = 30, evaluate the cost for 10 km using: 10f + c.  (1 mark)

Evaluate \(3(x + 2y)\) given \(xy = 18\) and \(y = 3\).

Evaluate \(3(x + 2y)\) given \(xy = 18\) and \(y = 3\). (1 mark)

Evaluate \(3(x + 2y)\) given \(xy = 18\) and \(y = 3\). (1 mark)

Evaluate \(3(x + 2y)\) given \(xy = 18\) and \(y = 3\). (1 mark)

Evaluate \(3(x + 2y)\) given \(xy = 18\) and \(y = 3\). (1 mark)

If m = 10 and n = 6, evaluate: (m² − n²) / (m − n)

If m = 10 and n = 6, evaluate: \( \frac{m² - n²}{m - n} \).  (1mark)

If m = 10 and n = 6, evaluate: \( \frac{m² - n²}{m - n} \).  (1mark)

If m = 10 and n = 6, evaluate: \( \frac{m² − n²}{m - n} \).  (1mark)

If m = 10 and n = 6, evaluate: \( \frac{m² − n²}{m - n} \).  (1mark)

If m = 10 and n = 6, evaluate: \( \frac{m^2 − n^2}{m - n} \).  (1mark)

If m = 10 and n = 6, evaluate: \( \frac{m^2 − n^2}{m - n} \).  (1mark)

If m = 10 and n = 6, evaluate: \( \frac{m^2 − n^2}{m - n} \).  (1 mark)

A painter uses 2 litres of red paint costing KES x per litre and 3 litres of blue paint costing KES y per litre. If x = 150 and y = 120, find the total cost using: 2x + 3y

A painter uses 2 litres of red paint costing KES x per litre and 3 litres of blue paint costing KES y per litre. If x = 150 and y = 120, find the total cost using: 2x + 3y.  (1mark)

A painter uses 2 litres of red paint costing KES x per litre and 3 litres of blue paint costing KES y per litre. If x = 150 and y = 120, find the total cost using: 2x + 3y.  (1mark)

A painter uses 2 litres of red paint costing KES x per litre and 3 litres of blue paint costing KES y per litre. If x = 150 and y = 120, find the total cost using: 2x + 3y.  (1 mark)