Translating and Simplifying 'the sum of and , increased by '
To translate and simplify the English phrase "the sum of and , increased by ," first convert the wording into an algebraic expression. The keyword "sum" indicates that the first two numbers should be added together, so they are grouped as and . The phrase "increased by" indicates that should be added to the result of that sum. Using brackets to enforce the correct order of operations, the translation is:
To simplify the expression, perform the addition within the brackets first. Adding two negative integers involves adding their absolute values () and retaining the shared negative sign, resulting in . Then, add the remaining term: . Since these numbers have different signs, subtract their absolute values () and apply the sign of the number with the greater absolute value. The simplified answer is .
0
1
Tags
OpenStax
Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
Related
A logistics coordinator is adjusting a shipping manifest. They need to record 'the sum of 8 and -12, increased by 3' to determine the final inventory adjustment. Which expression represents this calculation?
An inventory manager is calculating a stock level adjustment described as 'the sum of 8 and -12, increased by 3'. The correct algebraic translation of this instruction is [8 + (-12)] + 3.
An inventory specialist is reconciling a warehouse log that records a stock adjustment as: 'the sum of 8 and -12, increased by 3'. Match each component of this verbal instruction to its corresponding mathematical expression or numerical value.
A logistics coordinator is processing an inventory adjustment described as 'the sum of 8 and -12, increased by 3.' Arrange the following steps in the correct order to translate the phrase into an expression and then simplify it to a final value.
Inventory Adjustment Calculation
A logistics coordinator is updating a shipping manifest to reflect a series of inventory adjustments. The record shows an instruction to calculate: 'the sum of 8 and -12, increased by 3'. After translating this phrase into a mathematical expression and simplifying it, the final value the coordinator should record is ____.
Translating Budget Variance Instructions
Data Center Power Load Analysis
An engineering assistant is following a technical manual that describes a system adjustment as 'the sum of 8 and -12, increased by 3.' The manual represents this calculation as [8 + (-12)] + 3. What is the primary function of the square brackets [ ] in this expression?
A logistics coordinator is reviewing a shipping manual that describes a weight adjustment as: 'the sum of 8 and -12, increased by 3.' When translating this instruction into a mathematical expression, which specific keyword identifies the first addition operation to be performed?
Translating and Simplifying 'the sum of and , increased by '
Translating and Simplifying 'the sum of and , increased by '
Learn After
An HVAC technician is monitoring pressure adjustments in a system. The total change is described as the sum of psi and psi, which is then increased by 7 psi. What is the final simplified value of this pressure adjustment?
A warehouse manager is tracking temperature fluctuations in a specialized cold storage unit. The adjustments are described in a report as 'the sum of -8 degrees and -12 degrees, increased by 7 degrees.' Match each part of this description with its corresponding algebraic representation or numerical result as defined in the training material.
A logistics supervisor is auditing weight adjustments for a cargo shipment. The adjustments are described in a report as: 'the sum of kilograms and kilograms, increased by $7$ kilograms.' Arrange the following steps in the correct order to translate and simplify this description according to the established algebraic procedure.
A Quality Assurance auditor records two point deductions for a process as 'the sum of points and points'. This total is then 'increased by points' after a manager review. According to the algebraic procedure for translating and simplifying this specific phrase, the final simplified net adjustment is ____ points.
In a professional logistics report, a weight adjustment is described as 'the sum of kg and kg, increased by kg.' True or False: According to the rules of algebraic translation, the phrase 'increased by' indicates that the value should be added to the result of the first two numbers.
Cash Drawer Balance Adjustment Reconciliation