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1) Evaluate the following expressions:
a) p + 2p for p = 1
b) 2w + 3 for w = 3
c)  
for z = 5
2) Find the value of the following expressions:
a)

+ 4 for x = 6
b)

+ 7 for m = 3
c)

for p = 6
3) Evaluate the given expressions:
a)


+ 1 for x = 6
b)


+ 4 for x = 7
c)


for x = 2
4) Evaluate:
a) pqr for p = 2, q = 4, r = 6
b) abc(a + b + c) for a = 5, b = 10, c = 15
5) Simplify the given expressions:
a) 4x
2
+ 3x + 3 for x = 2
b) 7m
4
+ 3 for m = 3
c) 2p
3
+ 3p
2
+ 2 for p = 5
Evaluating Algebraic Expressions Worksheets
Grade 8
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6) Evaluate the given expressions:
a) 2x + 3y for x = 2, y = 3
b) 3p + 7q + 4 for p = 1, q = 2
c) 6s + 7t for s = 9, t = 7
7) Evaluate the following polynomials:
a) 2x
2
+ 3x + 3y
3
+ 2 for x = 1, y = 2
b) 4m
4
+ 7n
4
for m = 2, n = 4
8) Evaluate the following:
a)



for x = 3
b)



for u = 2
9) Simplify the following algebraic expressions:
a) (12y)
2
+ 2 for y = 3
b) (4z)
2
+ (7k)
3
for z = 2, k = 4
10) Evaluate the following expressions:
a) 2xy + 3x
2
y + 5xy
3
for x = 3, y = 2
b) p
2
q + 3pq + p
2
q
2
for p = 2, q = 3
11) Find the value of the following expressions:
a) 0.2x + 0.3xy + 0.5y for x = 1, y = 3
b) 2x + 3xy + 4y
2
for x = 0.2, y = 0.7
12) Simplify the expression:
a) pqr(3pq + p + 5q) + 4rq for p = 2, q = 3, r = 4
b) 9a(4ac + 7c + bc) + ab
2
c for a = 3, b = 4, c = 7
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13) Given that p = 10 and q = 12, find the value of the following
expression:
(p + q)
2
+ (p - q)
2
+ pq
14) Find the value of this expression
      where
x = 2 and y = 4.
15) Jacob sells a small notebook for $3 and a large notebook
for $5. If he sold 15 small notebooks and 5 large notebooks. Then
how much money did he earn?
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1(a) 3
1(b) 9
1(c)

2(b)

2(c) 4
3(a)

3(c)


4(a) 48
4(b) 22500
5(b) 570
6(a) 13
6(b) 21
7(a) 31
7(b) 1856
8(a)

9(a) 1298
9(b) 22016
10(a) 186
11(a) 2.6
11(b) 2.78
12(a) 888
13) 608
14)
15) $70
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An easy trick to remember the order
of PEMDAS is "Please Excuse My
Dear Aunt Sally".
Many mnemonics following order of
operations are used along with
PEMDAS worldwide, like BODMAS,
BEDMAS, and BIDMAS.