7th grade quarter 2 review

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 a set of parentheses.

Front

Calculate the total number of pencils if each pack contains (a + 6) pencils and 5 packs are bought.

Back

Total pencils = 5(a + 6) = 5a + 30.

Front

What is absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |15| = 15 and |-5| = 5.

Front

How do you find the absolute value of a number?

Back

To find the absolute value, remove any negative sign. For example, |x| = x if x >= 0, and |x| = -x if x < 0.

Front

What is the result of dividing a negative number by a positive number?

Back

The result is negative. For example, -30 ÷ 2 = -15.

Front

If the temperature is -15°C and it drops by 12 degrees, what is the new temperature?

Back

New temperature = -15 - 12 = -27°C.

Front

What is the formula to calculate the total number of items when using the distributive property?

Back

Total = number of groups × (items per group). For example, if there are 5 groups and each has (a + 6) items, total = 5(a + 6).

Front

What is the difference between two absolute values?

Back

To find the difference, calculate |a| - |b|. For example, if a = 15 and b = -5, the difference is |15| - |-5| = 15 - 5 = 10.

Front

How do you calculate the total number of gifts and candies if each gift bag contains a gift and 6 candies?

Back

Total = number of bags × (1 gift + 6 candies) = 5 × (1 + 6) = 5 × 7 = 35.

Front

What is the result of adding two negative numbers?

Back

The result is negative. For example, -30 + -10 = -40.