Sat 14 Jun class worksheet
E. Algebraic products
1. 6a ∗ 3a
2. 4x2 ∗ 5x
3. 3 ∗ 3ab
4. 5y ∗ 2y
5. 7m ∗ (−2m2 )
6. 2p ∗ 4p ∗ p
7. 6k ∗ 0.5k
8. 3x ∗ 2y ∗ 4z
9. a ∗ 7a2 ∗ a
10. 8n ∗ (−n)
11. 2q 3 ∗ 5q 2
12. 4d ∗ 3d ∗ d
13. 10r ∗ 12 r
14. x4 ∗ x
15. 3ab ∗ 2a
16. 5t ∗ (−2t3 )
17. 6e2 ∗ e2
18. 2xy ∗ 3x2 y
19. 7z ∗ z ∗ 4
Extension Challenge
20. (2a2 b) ∗ (3ab3 )
21. (5x3 ) ∗ (−2x) ∗ x2
Sat 14 Jun class worksheet
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F - Evaluating algebraic expressions
Part 1: Evaluate each expression for the given value.
1. 3c + 7when c = 4
2. 5x − 2when x = 6
3. 2y 2 when y = 3
4. 4k + 9when k = 0.5
5. m
+ 8when m = 10
2
Part 2: Word problems & Expressions
6. A box contains npencils and you buy 5 more pencils.
a. Write an expression for the total
b. Find the total if n = 12
7. There are 3 bags, each with ppotatoes, plus 10 extra.
a. Write an expression for the total potatoes.
b. Find the total if p = 5
8. A rectangle has length 2xand width x.
a. Write an expression for its perimeter.
b. Find the perimeter if x = 4
9. A taxi costs $2 per km plus a $5 starting fee.
a. Write an expression for the cost of a d-km ride.
b. Find the cost if d = 10
10. A pizza is cut into sslices. If 3 slices are eaten, write an expression for the remaining
slices. Find the remaining slices if s = 8.
Sat 14 Jun class worksheet
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Part 3: Negative Substitution
11. 2x − y when x = 3, y = 2
12. x + 4y when x = 5, y = −1
13. 3(x − y)when x = 7, y = −2
14. −2a + bwhen a = −4, b = 3
15. 5 − y 2 when y = −3
Part 4: Mixed Challenges
16. 2p2 + 3pwhen p = 2
17.
2x+y
2
when x = 4, y = 6
18. 4(2k − 1)when k = 0.5
19. x2 − xy when x = 5, y = −2
20. 10 − 3t when t = 15
Extension Challenge
21. If a = −1, b = 2, evaluate a3 + b2
22. Evaluate 2x2 − 3xy + y 2 when x = 5, y = −1
23. If m = 2, n = −3, evaluate 5m−n
m+n
Sat 14 Jun class worksheet
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