9 weeks STUDY GUIDE

Front

What is cross multiplication in proportions?

Back

Cross multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other.

Front

Solve for b in the proportion: \( \frac{b}{10} = \frac{4}{5} \)

Back

b = 4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Simplify the expression: 2(4 + 9w)

Back

8 + 18w

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

Find the volume of a rectangular prism with dimensions 3 yd, 3 yd, and 3 yd.

Back

Volume = 3 × 3 × 3 = 27 yd³.

Front

What is the volume of a prism with a base area of 4 yd² and a height of 2 yd?

Back

Volume = base area × height = 4 × 2 = 8 yd³.

Front

Calculate the volume of a prism with a base area of 1 yd² and a height of 3 yd.

Back

Volume = 1 × 3 = 3 yd³.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression, such as the 4 in 4m.

Front

Identify the coefficient in the expression: 4m + n + 2

Back

The coefficient is 4.