Evaluating algebraic expressions by substitution practice exercise 6

Course: Grade 8 mathematics - Algebra - Algebraic expressions

Quiz Description

Quiz Questions (33 questions)

Question 1
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.
Question 2
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)
Question 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)
Question 4
The profit \( P \) in KES from selling tickets is given by: \( P = (160t + 480)(t - 3) \) If \( t = 7 \), find \( P \).
Question 5
The profit \( P \) in KES from selling tickets is given by: \( P = (160t + 480)(t - 3) \). If \( t = 7 \), find \( P \).  (1 mark)
Question 6
The profit \( P \) in KES from selling tickets is given by: \( P = (160t + 480)(t - 3) \). If \( t = 7 \), find \( P \).  (1 mark)
Question 7
A transport company charges \( T = (45k + 300)(3k - 5) \) shillings for transporting goods, where \( k \) is the number of tonnes. If \( k = 9 \), find \( T \).
Question 8
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)
Question 9
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)
Question 10
Find \( p \) if \( p = 25 - \frac{2}{5}a \) and \( a = 20 \).
Question 11
Find \( p \) if \( p = 25 - \frac{2}{5}a \) and \( a = 20 \).  (1 mark)
Question 12
Find \( p \) if \( p = 25 - \frac{2}{5}a \) and \( a = 20 \).  (1 mark)
Question 13
Find \( s \) if \( s = 5 + \frac{2}{3}t \) and \( t = 15 \).
Question 14
Find \( s \) if \( s = 5 + \frac{2}{3}t \) and \( t = 15 \).  (1 mark)
Question 15
Find \( s \) if \( s = 5 + \frac{2}{3}t \) and \( t = 15 \).  (1 mark)
Question 16
A farmer’s earnings \( E \) in KES are given by: \( E = (50b - 100)(2b + 5) \) If \( b = 10 \), find \( E \).
Question 17
A farmer’s earnings \( E \) in KES are given by: \( E = (50b - 100)(2b + 5) \) If \( b = 10 \), find \( E \).  (1 mark)
Question 18
A farmer’s earnings (E) in KES are given by the formula: E=(50b−100)(2b+5). If b=10, find E. (1 mark)
Question 19
A farmer’s earnings (E) in KES are given by the formula: E=(50b−100)(2b+5). If b=10, find E. (1 mark)
Question 20
Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \).
Question 21
Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \). (1 mark)
Question 22
Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \). (1 mark)
Question 23
Find \( n \) if \( n = 100 - \frac{1}{5}q \) and \( q = 45 \). (1 mark)
Question 24
Find \( y \) if \( y = 50 - \frac{3}{10}x \) and \( x = 40 \).
Question 25
Find \( y \) if \( y = 50 - \frac{3}{10}x \) and \( x = 40 \).  (1 mark)
Question 26
Find \( y \) if \( y = 50 - \frac{3}{10}x \) and \( x = 40 \).  (1 mark)
Question 27
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.
Question 28
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)
Question 29
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)
Question 30
Find \( k \) if \( k = \frac{3}{4}m + 12 \) and \( m = 20 \).
Question 31
Find \( k \) if \( k = \frac{3}{4}m + 12 \) and \( m = 20 \).  (1 mark)
Question 32
Find \( k \) if \( k = \frac{3}{4}m + 12 \) and \( m = 20 \).  (1 mark)
Question 33
Find \( k \) if \( k = \frac{3}{4}m + 12 \) and \( m = 20 \).  (1 mark)

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