Question

Five more than the product of two and a number,

decreased by seven;
evaluate when a = 8
Key Words
five
more than
product
two
a number
decreased by
seven
Replace With
5
+
x
2
a
7
Write and evaluate the expression. Then, complete the
statements.
First, write the expression
Second,
Third,
The answer is
8 in for the variable, a.
by using

Answer 1

The math problem asks to evaluate an expression which translates to '(2 × a) + 5 - 7.' By substituting 8 for the variable and following the order of operations, the answer is calculated to be 14.

Step-by-step explanation:

To solve the math problem, we need to first write the expression for 'five more than the product of two and a number, decreased by seven.' Next we evaluate this expression when a = 8, following the given steps.

First, write the expression:

• (2 × a) + 5 - 7, where × denotes multiplication.

Second, replace the variable a with the number 8:

• (2 × 8) + 5 - 7

Third, simplify the expression step-by-step:

1. Multiply 2 by 8 to get 16.
2. Add 5 to 16 to get 21.
3. Finally, subtract 7 from 21 to get the answer, 14.

The answer is 14 when we substitute 8 in for the variable, a.

This example shows how to evaluate algebraic expressions by substituting a given value for the variable and by using the standard order of operations, also known as PEMDAS or BIDMAS (Parentheses/Brackets, Exponents/Indices, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).