Mathematical Expressions and Equations Quiz

Translating Words to Mathematical Expressions

• Key words and phrases indicate mathematical operations (addition, subtraction, multiplication, division).
• Common verbal expressions and their corresponding mathematical expressions for addition, subtraction, multiplication, division are provided.

Solving Equations from Verbal Information

• Translate verbal sentences into equations using variables.
• Examples demonstrate translating different types of verbal sentences.
• Key steps for solving problems include:
  • Read the problem carefully, identify the given information.
  • Assign a variable to the unknown.
  • Write an equation using variable expressions.
  • Solve the equation.
  • State the answer with appropriate labels.
  • Check the answer in the original problem.

Solving Perimeter Problems

• Use formulas to write equations representing perimeter of rectangles.
• Examples demonstrate finding width and length of rectangles, given perimeter information.

Solving Percent Problems

• Example problem showing how to find the health expenditure from 1990 given the 2015 health expenditure and increase rate.
• Assign variables to represent unknowns.

• Write equations based on the given information.
  

  • Solve the equations.
  • State answers with relevant units.

Solving Investment Problems

• Use a table to organize given information for investment problems.
• Examples demonstrate finding invested amounts at different interest rates.
• Formula for interest is I = prt where time is 1 year.

Solving Mixture Problems

• Use tables to solve mixture problems.
• Example problem showing how to solve for the amount of 70% solution needed to mix with 40% solution to get a 50% solution.

Solving Problems about Angles

• The sum of the angles in a triangle is 180 degrees.

Solving Problems about Consecutive Integers

• Consecutive integers differ by 1.
• Consecutive even integers differ by 2.
• Consecutive odd integers differ by 2.
• Example problems show how to write and solve equations involving consecutive integers.

Money Denomination Problems

• Use variables to represent the number of coins or bills.
• Organize information in a table for each denomination.
• Write equations, clear parentheses and solve the equations.