3rd Benchmark Study Guide

Front

What is the expression for the sum of 48 and three times a variable x?

Back

48 + 3x

Front

How do you express the product of a variable x and the difference of 5 and 1?

Back

x(5 - 1)

Front

What is the value of 36 in terms of its numerical representation?

Back

36

Front

What is the value of 56 in terms of its numerical representation?

Back

56

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width

Front

What is the distributive property in algebra?

Back

a(b + c) = ab + ac

Front

How do you solve for x in the equation 3x + 4 = 16?

Back

Subtract 4 from both sides to get 3x = 12, then divide by 3 to find x = 4.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing operations.

Front

What is the order of operations in mathematics?

Back

PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).