1.4 Algebraic Manipulation

The use of calculators or other technologies are strictly prohibited for this assignment.

1 Solve for a Variable

1. Solve for \(x\): \(3 x + 3 = x + 7\)

2. Solve for \(y\): \(\frac{y}{2} = 2y - 6\)

3. Solve for \(p\) in the equation \(q = a - bp\).

2 Solve a System of Equations

1. Suppose you have a total of 900 five and ten dollar bills, and the value of that money is $5500. How many fives and tens do you have?

2. If \(y = mx + b\) and \(y = nx + c\), find the point of intersection (x, y) in terms of m, n, b, and c. Simplify: your final answer for y should be one term.