10 questions · Form 1 Mathematics Bab 5: Algebraic Expressions
Simplify: 2(3a + 4) + 3(a - 1)
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. Simplify: 2(3a + 4) + 3(a - 1)
Answer: A
Expand: 6a + 8 + 3a - 3 = (6a + 3a) + (8 - 3) = 9a + 5.
2. Simplify: -4(2x - 3y)
Answer: A
(-4) x (2x) + (-4) x (-3y) = -8x + 12y.
3. Which of the following is UNLIKE to 4x2y?
Answer: A
In 4xy2, y is squared instead of x, making it an unlike term compared to 4x2y.
4. 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.
5. Simplify: 5x + 3y - 2x + 4y
Answer: A
Group like terms: (5x - 2x) + (3y + 4y) = 3x + 7y.
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. Simplify: 15x2y ÷ 3xy
Answer: A
15x2y3xy = (153) x (x2/x) x (yy) = 5 x x x 1 = 5x.
8. Find the product of 4m and -3n.
Answer: A
4m x (-3n) = (4 x -3) x m x n = -12mn.
9. Simplify: 24a3b2 ÷ 8ab
Answer: A
(248) x (a3/a) x (b2/b) = 3a2b.
10. 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.