Grade 7 Math Quiz Study Notes: Integers, Order of Operations, and Expressions

Vocabulary and rule-based flashcards covering integer operations, order of operations, evaluation of expressions, and real-world representations from Grade 7 math quiz study notes.

Adding integers (same signs)

Add the numbers and keep the sign.

Adding integers (different signs)

Subtract the absolute values and keep the sign of the number with the greater absolute value.

Subtracting integers

Keep the first number, change subtraction to addition, and change the sign of the second number. Then add.

Multiplying and dividing (same signs)

Yields a positive answer.

Multiplying and dividing (different signs)

Yields a negative answer.

Zero rules (multiplication and division)

Any number multiplied by $0$ equals $0$. You cannot divide by $0$.

Order of operations

Parentheses/grouping symbols $\rightarrow$ exponents $\rightarrow$ multiplication and division from left to right $\rightarrow$ addition and subtraction from left to right.

Exponent

Tells how many times to multiply the base by itself (for example, $3^2$ means $3 \times 3$; parentheses matter because $(-3)^2$ is different from $-3^2$).

Fraction bar

Means division (for example, $-24/6$ means $-24 \div 6$).

Substitution/evaluation

Replace each variable with its given number, put negative values in parentheses, then use order of operations.

Mean per hour

Add the amounts, then divide by the number of hours.

Change in temperature or money

Represent decreases/losses with negative numbers and increases/gains with positive numbers.