🧮 algebra

1. **State the problem:** Solve the system of linear equations: $$x + 2y = 10$$

1. The problem asks to find the value of $h(-1)$, which means we need to determine the output of the function $h(x)$ when $x = -1$. 2. From the description, $h(x)$ is a downward op

1. **State the problem:** Solve the system of linear equations: $$-5x + 2y = 4$$

1. **State the problem:** Solve the system of linear equations: $$7x + 6y = -4$$

1. **State the problem:** Solve the system of linear equations: $$x - 5y = 16$$

1. **Sketching parabolas and labeling vertices and axes of symmetry** **a)** Given $y = x^2 - 6$

1. Sketching graphs of parabolas and labeling vertices and axes of symmetry: **a)** Given $y = x^2 - 6$.

1. **State the problem:** We are given several parabolas and relations and asked to sketch their graphs, label vertices, axes of symmetry, and find equations for some.

1. **State the problem:** We are given that the sum of two numbers is 32, and one number is 3 times as large as the other. We need to find both numbers. 2. **Define variables:** Le

1. **State the problem:** Solve the system of linear equations: $$x - 3y = 17$$

1. **State the problem:** A math class has a total of 41 students. The number of males is 15 more than the number of females. We need to find how many males and females are in the

1. **State the problem:** Simplify the expression $y=2\times(3x+1)$. 2. **Formula and rules:** Use the distributive property of multiplication over addition: $a(b+c) = ab + ac$.

1. **State the problem:** A math class has a total of 41 students. The number of males is 15 more than the number of females. We need to find how many males and females are in the

1. **State the problem:** Simplify the expression $y=2\times(3x+1)$. 2. **Formula and rules:** Use the distributive property of multiplication over addition: $a(b+c) = ab + ac$.

1. **State the problem:** Solve the system of linear equations: $$7x + 6y = -4$$

1. **State the problem:** Solve the system of linear equations: $$7x + 6y = -4$$

1. **State the problem:** We are given that the sum of two numbers is 40 and their difference is 8. We need to find the two numbers. 2. **Set variables:** Let the larger number be

1. **State the problem:** Solve the system of linear equations: $$3x - 8y = 9$$

1. **State the problem:** We have two functions: 1. $f(x) = 5x + 9x^4 - 3 + x^2$

1. Stating the problem. The system to simplify is:

1. **Problem 1:** Given the function $f(x) = 5x + 9x^4 - 3 + x^2$. 2. **Problem 2:** Given the function $y = 2x(3x + 1)$.