Problem 85
Question
Simplify each algebraic expression. $$5(3 x+4)-4$$
Step-by-Step Solution
Verified Answer
The simplified algebraic expression is \(15x + 16\).
1Step 1: Distribute the Number Across the Bracket
Distribute the number standing in front of the parenthesis (which is 5 in this case), to simplify the expression. This is done by multiplying the number outside the parenthesis (5) to every term inside the parenthesis. Therefore, \(5*3x = 15x\) and \(5*4 = 20\). So the expression becomes: \(15x + 20 - 4\).
2Step 2: Simplifying the Constants
Now, there are two constant numbers in the expression: 20 and -4. Subtract 4 from 20 to simplify further. Therefore, the expression now becomes: \(15x + (20 - 4) = 15x + 16\).
Other exercises in this chapter
Problem 85
In Exercises \(83-90\), evaluate each expression without using a calculator. $$8^{\frac{1}{3}}$$
View solution Problem 85
Perform the indicated operation or operations. $$(5 x-7)(3 x-2)-(4 x-5)(6 x-1)$$
View solution Problem 86
Factor completely, or state that the polynomial is prime. $$x^{2}-10 x+25-36 y^{2}$$
View solution Problem 86
Write each number in scientific notation. $$-0.00000000405$$
View solution