10 questions ยท Form 1 Mathematics Bab 5: Algebraic Expressions
A pen costs RM x and a notebook costs RM y. Write an expression for the total cost of 3 pens and 2 notebooks.
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. A pen costs RM x and a notebook costs RM y. Write an expression for the total cost of 3 pens and 2 notebooks.
Answer: A
3 pens cost 3x and 2 notebooks cost 2y. Total cost = 3x + 2y.
2. Simplify: (4p - 3q) - (p - 5q)
Answer: A
Expand bracket with sign change: 4p - 3q - p + 5q = (4p - p) + (-3q + 5q) = 3p + 2q.
3. Simplify: -4(2x - 3y)
Answer: A
(-4) x (2x) + (-4) x (-3y) = -8x + 12y.
4. Simplify: 3p x 2p2
Answer: A
3p x 2p2 = (3 x 2) x (p x p2 = 6p3.
5. Find the product of 4m and -3n.
Answer: A
4m x (-3n) = (4 x -3) x m x n = -12mn.
6. Express the phrase '5 more than twice a number x' as an algebraic expression.
Answer: A
'Twice a number x' is 2x. '5 more than' means adding 5, giving 2x + 5.
7. Which of the following represents a variable with a fixed value?
Answer: A
The number of days in a week is always 7, making it a fixed quantity, whereas daily temperature, speed, and rainfall vary.
8. In the term -8xy, what is the coefficient of xy?
Answer: A
In -8xy, the numerical coefficient multiplying the variables xy is -8.
9. An adult ticket for a museum costs RM a and a child ticket costs RM b. If a family buys 2 adult tickets and 3 child tickets and pays with a RM50 note, write an expression for their change.
Answer: A
Total ticket cost = 2a + 3b. Change = 50 - (2a + 3b) = 50 - 2a - 3b.
10. Which pair of terms consists of LIKE terms?
Answer: A
3xy and -7yx have the exact same variables raised to the same power (xy = yx). Order of multiplication does not change the variables.