Illustrative Math Equations and Expressions

p² + 3p = 10

• Expression

• Equation

7m = 4n

• Expression

• Equation

5q² + 2 = 0

• Expression

• Equation

Emma is planning a party and needs to buy some party candies. She has $25 to spend. Each candy costs $5, and she wants to buy n candies. Write an algebraic number to represent the amount of money Emma has after buying the candies. Is this an expression or an equation?

• It's an Expression
  25 - 5n

• It's an Equation
  25 = 5n

• It's an Equation
  25 - 5n = 0

• It's an Expression
  5n

A student has a test where the sum of her math and science scores is 180 points. If the math score is m and the science score is s, write an algebraic number that represents this situation. Is this an expression or an equation?

• It's an Expression
  m + s

• It's an Equation
  m + s = 180

• It's an Expression
  m + s + 180

• It's an Expression
  180 − m − s

You have an algebraic number that represents the total amount of money you will have after saving $15 each week, starting with $50. The number is 50 + 15w. Identify if this is an expression or equation and solve for the total amount of money if w = 4 weeks.

• Expression
  Total amount: $110

• Equation
  Total amount: $110

• Expression
  Total amount: $200

• Equation
  Total amount: $200

Solve the algebraic number of 3 x (2a − 4) = 18. Is this an expression or an equation?

• Expression
  a = 5

• Equation
  a = 5

• Expression
  a = 2

• Equation
  a = 2

Solve the algebraic number of 2 x (y² - 1) = 6. Is this an expression or an equation?

• Expression
  y = 2

• Equation
  y = 2

• Expression
  y = 1

• Equation
  y = 1

3x − 5y

• Expression

• Equation

A rectangle's area is given by the algebraic number of 6w², where w is the width. Identify if this is an expression or equation and find the area if the width w = 2.

• Expression
  Area: 24 square units

• Equation
  Area: 24 square units

• Expression
  Area: 12 square units

• Equation
  Area: 12 square units