3a + 2a simplifies to 5a and 3x + 4 is 10 when x = 2, so this Year 7 sheet opens by combining like terms and substituting. The key records 2y for a simplified expression and 4 for a later value, with an even number as a pattern conclusion.
Key Takeaways
3a + 2a = 5a (Q1).
3x + 4 = 10 when x = 2 (Q2).
Q3 records 2y as a simplified result.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.Simplify 3a + 2a.
(a) 6a(b) 5a(c) 5a²(d) 32a
2.What is the value of 3x + 4 when x = 2?
(a) 9(b) 14(c) 10(d) 24
3.Simplify 5y - 3y.
(a) 2(b) 2y(c) 8y(d) y²
4.Simplify 2 × b × 3.
(a) 6b²(b) 5b(c) 6b(d) 5b²
5.What is the coefficient of x in 4x + 7?
(a) 4(b) 7(c) 11(d) 3
6.If n is a whole number, what does 2n always represent?
(a) an odd number(b) a prime number(c) an even number(d) a negative number
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Simplify 4x + 3x - 2x.
8.Find the value of 2a + 5 when a = 3.
9.Simplify 6p - 2p + p.
10.Write an expression for three more than a number x.
11.Expand and simplify 3(x + 2).
12.If b = 4, find the value of b² + 3.
13.Write an expression for the perimeter of a rectangle with length l and width w.
14.Simplify 5m + 2n - 3m + n.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Ali buys x pens at 2 dollars each. Write an expression for the total cost, then find the total cost when x = 5.
16.The length of a rectangle is 4 more than its width w. Write an expression for the length, then find the length when w = 6.
17.A number n is multiplied by 3 and then 5 is added. Write an expression, then evaluate it when n = 4.
18.Sara is a years old and her brother is 3 years younger. Write an expression for the brother's age, then find it when a = 12.
19.A matchstick pattern needs 2n + 1 matches for the nth figure. How many matches are needed for the 6th figure?
20.A taxi charges 5 dollars plus 3 dollars per kilometre. Write an expression for the cost of a trip of k kilometres, then find the cost for k = 8.
Answer Key
1. b) 5a
2. c) 10
3. b) 2y
4. c) 6b
5. a) 4
6. c) an even number
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is 3a + 2a?
5a, option (b) in this worksheet (Q1).
What is 3x + 4 when x = 2?
10, option (c) in this worksheet (Q2).
What does 3y − y equal?
2y, option (b) in this worksheet (Q3).
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