Math worksheet for identifying expressions and equations.

Let's solve the problem step by step.

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A) Determine whether each of the following is an expression or equation.

Definitions:
- An expression is a combination of numbers, variables, and operations (like +, −, ×, ÷) without an equals sign (=).
- An equation is a mathematical statement that contains an equals sign, showing that two expressions are equal.

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1) 4s + 9
→ No equals sign. Just a combination of variable and numbers with operations.
✔ Expression

2) −13 = 2a
→ Contains an equals sign (=), so it’s stating that −13 is equal to 2a.
✔ Equation

3) 7 = 12 − 8v
→ Has an equals sign. It’s saying 7 equals 12 minus 8 times v.
✔ Equation

4) $\frac{y}{8} + 1$
→ No equals sign. Just a combination of a variable and operations.
✔ Expression

5) −3(3mn)
→ This is a simplified form of multiplication: −9mn. No equals sign.
✔ Expression

6) b + c = −5
→ Has an equals sign. States that the sum of b and c equals −5.
✔ Equation

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✔ Answers for Part A:

1) Expression
2) Equation
3) Equation
4) Expression
5) Expression
6) Equation

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B) Which of the following are expressions?

We look for items without an equals sign.

a) s − 3t → No equals sign → ✔ Expression
b) p + 6 → No equals sign → ✔ Expression
c) 9 − $\frac{a}{5}$ → No equals sign → ✔ Expression
d) y − 2 = z → Has an equals sign → ✘ Not an expression (it's an equation)

#### ✔ Answer B1: a, b, c are expressions.

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B) Which of the following are equations?

Look for items with an equals sign.

a) −x + 1 = 7 → Has = → ✔ Equation
b) 2r − s → No = → ✘ Not an equation (just an expression)
c) 8uv → No = → ✘ Not an equation (just a term)
d) 3c = 7d → Has = → ✔ Equation

#### ✔ Answer B2: a and d are equations.

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✔ Final Answers:

#### A)
1) Expression
2) Equation
3) Equation
4) Expression
5) Expression
6) Equation

#### B)
1) Expressions: a, b, c
2) Equations: a, d

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