Exam Review Part 2: 7th Grade Math

Front

What is the process to subtract mixed numbers?

Back

To subtract mixed numbers, first convert them to improper fractions, then subtract the fractions, and finally convert back to a mixed number if necessary.

Front

How do you solve for x in the equation -15 + 3x - 7x = -43?

Back

Combine like terms: -15 - 4x = -43. Add 15 to both sides: -4x = -28. Divide by -4: x = 7.

Front

What is the simplified form of 20n + 4 + 5 + 7n?

Back

Combine like terms: 20n + 7n + 4 + 5 = 27n + 9.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

What is the result of multiplying 8 by (3b + 1)?

Back

Using the distributive property: 8(3b + 1) = 24b + 8.

Front

What is the result of dividing two negative numbers, such as (-27)/(-9)?

Back

Dividing two negative numbers results in a positive number. Therefore, (-27)/(-9) = +3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

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 result over the original denominator.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation by performing inverse operations.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.