Chapter 1: Q34. (page 13)

Evaluate each expression if $g = 2$ , $r = 3$ and $t = 11$ .
$t^{2} + 8 r t + r^{2}$

Short Answer

Expert verified

The value of the expression $t^{2} + 8 r t + r^{2}$ is 394.

Step by step solution

Step 1. Evaluation of algebraic expression.

In order to evaluate an expression, substitute the values for the variables and simplify using the order of operations. The order of operations is in order:

Evaluate the expressions inside the bracket
Evaluate the powers
Multiply and/or divide
Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Replace the variables.

Substitute 2 for g, 3 for r, and 11 for t into the equation $t^{2} + 8 r t + r^{2}$ .

$t^{2} + 8 r t + r^{2} = 11^{2} + 8 \cdot 3 \cdot 11 + 3^{2}$

Step 3. Apply the order of operations.

As per the order of operations, first, evaluate the powers followed by other operations.

$\begin{array}{l} t^{2} + 8 r t + r^{2} = 11^{2} + 8 \cdot 3 \cdot 11 + 3^{2} \\ = 121 + 8 \cdot 3 \cdot 11 + 9 \\ = 121 + 264 + 9 \\ = 394 \end{array}$

Therefore, the expression is equal to 394.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Number of students	Amount of Each donation
20	\(250
15	\)325

Number of students

Amount of Each donation

\(250

\)325

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Evaluate each expression if $g = 2$ , $r = 3$ and $t = 11$ .
$t^{2} + 8 r t + r^{2}$

Short Answer

Step by step solution

Step 1. Evaluation of algebraic expression.

Step 2. Replace the variables.

Step 3. Apply the order of operations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Discrete Mathematics

Decision Maths

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

Evaluate each expression if g=2, r=3and t=11.t2+8rt+r2

Short Answer

Step by step solution

Step 1. Evaluation of algebraic expression.

Step 2. Replace the variables.

Step 3. Apply the order of operations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Discrete Mathematics

Decision Maths

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $g = 2$ , $r = 3$ and $t = 11$ .
$t^{2} + 8 r t + r^{2}$