Algebraic Reasoning TEKS 5.4A , 5.4B, 5.4E, 5.4F

Front

What are factor pairs?

Back

Factor pairs are two numbers that, when multiplied together, give a product. For example, the factor pairs of 20 are (1, 20), (2, 10), and (4, 5).

Front

How do you find the original amount in a bank account after a withdrawal?

Back

To find the original amount, you can use the equation: original amount - amount spent = remaining amount. For example, if Janice spent $70 and had $126 left, the equation is a - 70 = 126.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operations but does not have an equality sign. For example, (8 x 9) ÷ 12 is a numerical expression.

Front

How do you calculate total earnings from hourly work?

Back

To calculate total earnings from hourly work, multiply the number of hours worked by the hourly wage and then add any initial amount. For example, if Dominic worked 7 hours at $9 per hour, his total earnings would be $25 + (7 x $9).

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations. For example, in the equation a - 70 = 126, 'a' is the variable.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by performing operations and combining like terms. For example, simplifying (8 x 9) ÷ 12 results in 6.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations. This means that if you multiply a number by another number, you can divide the product by one of those numbers to get back to the original number.

Front

How do you represent a word problem as an equation?

Back

To represent a word problem as an equation, identify the quantities involved, determine the operations needed, and translate the words into mathematical symbols. For example, 'Janice had a total of $126 left after spending $70' can be represented as a - 70 = 126.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign (=) indicates that the values on both sides of the equation are the same. It shows that the expression on the left is equivalent to the expression on the right.