Expression Evaluation Mastery Worksheet
Grade 7 Math Order of Operations & Substitution
Evaluating Expressions
Name:
Date:
Period:
Score: / 30
Directions: Substitute each assigned variable value into the expression. Follow PEMDAS and show your step-by-step work.
Part 1 of 3
Level 1: Foundations Single & Dual Variables
1 \( 4x + 7 \)
for \( x = 3 \)
Answer:
2 \( 25 - 3y \)
for \( y = 6 \)
Answer:
3 \( 6(m - 4) \)
for \( m = 11 \)
Answer:
4 \( \frac{36}{w} + 8 \)
for \( w = 4 \)
Answer:
5 \( 3a + 5b \)
for \( a = 4, b = 3 \)
Answer:
Level 2: Powers & Fractions Exponents & Quotients
6 \( x^2 + 4x \)
for \( x = 5 \)
Answer:
7 \( \frac{5k + 6}{4} \)
for \( k = 6 \)
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8 \( 2(p + 1)^2 - 7 \)
for \( p = 3 \)
Answer:
9 \( \frac{48 - 3n}{n + 2} \)
for \( n = 4 \)
Answer:
10 \( \frac{y^2 - 1}{y + 3} \)
for \( y = 5 \)
Answer:
Expression Evaluation Mastery • Grade 7 Mathematics Page 1 of 3
Grade 7 Math
Evaluating Expressions
Name:
Part 2 of 3
Level 3: Negative Integers Signed Number Rules
11 \( 4x - 3y + 5 \)
\( x = -2, y = 3 \)
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12 \( -5(a - b) \)
\( a = 4, b = -3 \)
Answer:
13 \( \frac{6m - 4n}{3} \)
\( m = 5, n = -3 \)
Answer:
14 \( c^2 - 5c + 8 \)
for \( c = -3 \)
Answer:
15 \( \frac{16 - x}{2y + 1} \)
\( x = -9, y = 2 \)
Answer:
Level 4: Grouping & Rational Brackets & Multi-Term
16 \( 3[18 - (k + 4)] \)
for \( k = 7 \)
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17 \( \frac{a^2 + 11}{3a - 3} \)
for \( a = 5 \)
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18 \( \frac{5x + y}{2x - y} \)
\( x = 3, y = -1 \)
Answer:
19 \( |4p - 15| + p^2 \)
for \( p = -2 \)
Answer:
20 \( \frac{2w^2 - 8}{w - 2} \)
for \( w = 6 \)
Answer:
Expression Evaluation Mastery • Grade 7 Mathematics Page 2 of 3
Grade 7 Math
Evaluating Expressions
Name:
Part 3 of 3
Level 5: Multi-Step PEMDAS Combined Operations
21 \( \frac{m^2 - n^2}{m + n} \)
\( m = 9, n = -4 \)
Answer:
22 \( 4(2x - 5)^2 - 3(x + 2) \)
for \( x = 3 \)
Answer:
23 \( \frac{4a + 3b}{2a - b} \)
\( a = -4, b = 2 \)
Answer:
24 \( \frac{(x + 1)^3 - 1}{2x + 1} \)
for \( x = 3 \)
Answer:
25 \( \frac{u^2 + 5v}{2u + v} \)
\( u = 4, v = -2 \)
Answer:
Level 6: Master Challenge Complex Rational Forms
26 \( \frac{x^2 - 2xy + y^2}{x - y} \)
\( x = -5, y = 2 \)
Answer:
27 \( \frac{2a^2 - 5a + 6}{a + 2} \)
for \( a = -4 \)
Answer:
28 \( \frac{30 - 2(x + 2y)}{x^2 - y^2} \)
\( x = 5, y = -3 \)
Answer:
29 \( \frac{|-2x| + 3y^2}{x + 2y} \)
\( x = -6, y = 2 \)
Answer:
30 \( \frac{(3x - y)^2 - 4}{2x + y} \)
\( x = 2, y = -1 \)
Answer:
Expression Evaluation Mastery • Grade 7 Mathematics
Order of Operations: Parentheses • Exponents • Mult/Div • Add/Sub • Page 3 of 3
