Grade 7 Math

Front

What is the process to subtract fractions with different denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Subtract the numerators and keep the common denominator. 4. Simplify if necessary.

Front

How do you calculate the cost per item when given the total cost and quantity?

Back

Divide the total cost by the number of items. For example, if the total cost is $30.72 for 6 sandwiches, the cost per sandwich is $30.72 ÷ 6 = $5.12.

Front

What is the formula for calculating the total number of outcomes in a scenario with multiple choices?

Back

Multiply the number of choices for each decision. For example, if there are 5 doors and 3 boxes behind each door, the total outcomes are 5 x 3 = 15.

Front

What does a negative integer represent in a financial context?

Back

A negative integer represents a loss or deduction. For example, -264 indicates a total deduction of $264 from an account.

Front

How do you simplify the expression 4x + 3 - x - 7?

Back

Combine like terms: (4x - x) + (3 - 7) = 3x - 4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 4 1/3.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 4 1/3 = (4*3 + 1)/3 = 13/3.

Front

What is the least common multiple (LCM) and how is it found?

Back

The LCM is the smallest multiple that two or more numbers share. It can be found by listing the multiples or using the prime factorization method.

Front

What is the greatest common factor (GCF) and how is it determined?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder. It can be found by listing the factors or using the prime factorization method.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside parentheses.