Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
can you please help with no. 8 and 9? thank you
![### Mathematics Practice Problems
#### Functions and Operations
**For questions 8 and 9:** Let \( f(x) = x^2 + 4 \) and \( g(x) = 2x - 5 \).
8. Find \( (f + g)(2) \).
_4 points_
9. Find \( (fg)(3) \).
_4 points_
10. Let \( f(x) = 3x + 5 \). Find each of the following.
a. Find \( f(x + h) \).
_3 points_
b. Find \( f(x + h) - f(x) \).
_3 points_
c. Find \( \frac{f(x + h) - f(x)}{h} \).
_3 points_
11. Let \( f(x) = 3x + 1 \) and \( g(x) = -x - 2 \). Find \( (f \circ g)(4) \).
---
#### Solving Systems of Equations
12. Solve the system of equations using Substitution. **SHOW WORK**
\[
\begin{cases}
3x + 4y = 13 \\
x - y = 2
\end{cases}
\]
_6 points_
13. Solve the system of equations using Elimination. **SHOW WORK**
\[
\begin{cases}
2x - 5y = 7 \\
3x + 4y = 22
\end{cases}
\]
_6 points_
14. State whether the system of equations is INCONSISTENT or has INFINITELY MANY SOLUTIONS.
\[
\begin{cases}
5x - 3y = -7 \\
10x - 6y = 14
\end{cases}
\]
---
#### Additional Problems
15. Solve the following system of equations. **SHOW WORK**
\[
\begin{cases}
x + 3y + 4z = 13 \\
2x - 3y + 2z = 2 \\
3x - y + z = 8
\end{cases}
\]
_8 points](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8f54919-3719-4a11-8884-2432a8f20fd9%2F73f0c54d-5bed-44d6-affc-10acfb118f25%2F4bu71zi.jpeg&w=3840&q=75)
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