Math In Focus Course 2 Chapter 2 Test Review

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms, removing parentheses, and reducing fractions to their simplest form.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is found by adding the lengths of all sides, which can be calculated using the formula P = 2(length + width).

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

What is the formula for the combined ages of two people in the future?

Back

If one person is x years old and the other is y years younger, their combined ages in t years can be expressed as (x + t) + ((x - y) + t) = 2x - y + 2t.

Front

How do you factor an expression in simplest form?

Back

To factor an expression in simplest form, identify the greatest common factor (GCF) of the terms and express the original expression as a product of the GCF and the remaining terms.

Front

What is the significance of the coefficients in an algebraic expression?

Back

Coefficients are the numerical factors that multiply the variables in an algebraic expression, determining the weight or influence of each variable in the expression.

Front

How do you simplify the expression \( \frac{3}{2}b - 6.5b \)?

Back

To simplify \( \frac{3}{2}b - 6.5b \), convert 6.5 to a fraction (\( \frac{13}{2}b \)), then combine: \( \frac{3}{2}b - \frac{13}{2}b = -\frac{10}{2}b = -5b \).

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula A = length × width.

Front

How do you express a price change over time in algebraic terms?

Back

To express a price change over time, you can use algebraic expressions to represent the initial price and apply operations to reflect increases or decreases over specified periods.

Front

What is the relationship between the perimeter and area of a rectangle?

Back

The perimeter is the total distance around the rectangle, while the area is the space contained within it. They are related but represent different properties.