Problem 80

Question

Simplify each algebraic expression. $$5-7 b-13-4 b$$

Step-by-Step Solution

Verified

Answer

The simplified expression is $-8 - 11b$.

1Step 1: Identify the Like Terms

In this algebraic expression, $5-7 b-13-4 b $, the like terms are the numerical constants $5$ and $-13$, and the terms with $b$ i.e., $-7b$ and $-4b$.

2Step 2: Combine the Constants

By adding constants $5$ and $-13$, you can simplify this portion of the expression: $ 5 + (-13) $ which simplifies to $-8$.

3Step 3: Combine the Algebraic Coefficients

Take the terms $-7b$ and $-4b$ and add them together: $-7b + (-4b) $ which simplifies to $-11b$.

4Step 4: State the Simplified Expression

Combine $-8$ and $-11b$ to form the simplified algebraic expression, which results to $-8 - 11b$.

Problem 79

Problem 80

Other exercises in this chapter

Problem 79

Write each sentence as an equation. Let the variable $x$ represent the number. a. Evaluate $2(x+3 y)$ for $x=4$ and $y=1$ b. Is the number you obtained

View solution

Problem 79

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{3}{4}+\frac{3}{20}$$

View solution

Problem 80

In Exercises $73-80,$ evaluate each algebraic expression for the given value of the variable. $$\frac{3 y-2 y^{2}}{y(y-2)} ; y=5$$

View solution

Problem 80

Simplify each algebraic expression. $$-5\left(-\frac{3}{5} y\right)$$

View solution