Chapter 1: Q4B. (page 11)

Evaluate each expression if $d = 4$ , $f = 3$ and $g = 12$ .
$5 d + (6 f - g)$

Short Answer

Expert verified

The value of the expression $5 d + (6 f - g)$ is 26.

Step by step solution

Step 1. Evaluation of algebraic expression.

To evaluate an expression with different operations, an order needs to be followed. The order is first, we open the parenthesis, then solve exponents, then multiply and/or divide and then finally add and/or subtract.

Step 2. Replace the variables.

Substitute 4 for d, 3 for f, and 12 for g into the equation $5 d + (6 f - g)$ .

$5 d + (6 f - g) = 5 \cdot 4 + (6 \cdot 3 - 12)$

Step 3. Apply the order of operations.

As per the order of operations, first, evaluate the expressions inside the bracket.

$\begin{array}{l} 5 d + (6 f - g) = 5 \cdot 4 + (18 - 12) \\ = 5 \cdot 4 + 6 \\ = 20 + 6 \\ = 26 \end{array}$

Therefore, the expression is equal to 26.

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Evaluate each expression if $d = 4$ , $f = 3$ and $g = 12$ .
$5 d + (6 f - g)$

Short Answer

Step by step solution

Step 1. Evaluation of algebraic expression.

Step 2. Replace the variables.

Step 3. Apply the order of operations.

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Evaluate each expression if d=4,f=3 and g=12.5d+6f−g

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

Mechanics Maths

Geometry

Discrete Mathematics

Calculus

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $d = 4$ , $f = 3$ and $g = 12$ .
$5 d + (6 f - g)$