7th Grade Math Final Exam: Basic Operations

Basic Operations with Numbers, Ratios, Rates, Unit Rates, and Percents

• Addition and subtraction with whole numbers involve finding the difference between two numbers. • Multiplication and division with whole numbers involve basic arithmetic operations. • Operations with decimals, fractions, and rational numbers involve performing arithmetic operations with these types of numbers. • Ratios can be written in simplest form by dividing both numbers by their greatest common divisor. • Rates can be calculated by dividing the distance traveled by the time taken. • Unit rates can be found by dividing the distance traveled by the time taken. • Percents can be calculated by dividing a percentage by 100 and multiplying it by the original value.

Discounts, Markups, Percent Change, and Simple Interest

• Discounts can be calculated by finding the percentage of the original price. • Markups can be calculated by adding a percentage to the original price. • Percent change can be calculated by finding the difference between the original and new values and dividing it by the original value. • Simple interest can be calculated by multiplying the principal, rate, and time.

Mixed Problems

• Word problems involving fractions and decimals require applying mathematical operations to real-life scenarios. • Real-life applications of math involve using formulas to solve problems. • Complex fraction operations involve simplifying fractions. • Decimal and fraction conversions involve changing between decimal and fraction forms. • Proportional relationships involve finding equivalent ratios. • Percentage increase or decrease can be calculated by finding the difference between the original and new values and dividing it by the original value. • Interest calculations involve finding the total interest earned over a period of time. • Ratio to fraction conversions involve writing a ratio as a fraction. • Finding percent of a number involves multiplying the number by the percentage. • Combining percent problems involves applying multiple percentage discounts or increases. • Multi-step problems with decimals require applying mathematical operations to solve problems. • Challenging multi-step problems involve solving complex problems with multiple steps.

Basic Operations with Numbers, Ratios, Rates, Unit Rates, and Percents

• Perform addition and subtraction with whole numbers, involving subtraction of a number from another.
• Multiply and divide whole numbers, and divide a number by another.
• Add, subtract, multiply, and divide decimals, involving subtraction of a decimal from another.
• Operate with fractions, including multiplication and division, and subtracting a fraction from another.
• Calculate with rational numbers, including addition and multiplication.
• Write ratios in simplest form, such as 18 apples to 24 oranges.
• Calculate rates, such as miles per hour, given a distance and time.
• Find unit rates, such as miles per hour, given a distance and time.
• Calculate percents, such as finding 25% of a number, and convert to a percent.

Discounts, Markups, Percent Change, and Simple Interest

• Calculate discounts, such as finding the sale price of an item with a 25% discount.
• Calculate markups, such as finding the new price of an item with a 30% markup.
• Calculate percent change, such as finding the percent increase in the price of a book.
• Calculate simple interest, such as finding the interest on a loan with a 6% interest rate per year.

Mixed Problems

• Solve word problems involving fractions, such as finding the amount of cake left after giving some away.
• Apply math to real-life situations, such as finding how many hours a car can run on a tank of gas.
• Simplify complex fractions.
• Convert decimals to fractions in simplest form.
• Identify proportional relationships, such as finding the cost of 7 notebooks given the cost of 3.
• Calculate percentage increase or decrease, such as finding the percentage decrease in the price of a laptop.
• Calculate interest, such as finding the interest earned on an investment with a 5% interest rate per year.