Multi-Step Equations and Inequalities

Dealing with Multi-step equations and inequalities means undertaking more than a single operation to ascertain the unknown variable. The processes involved could be addition, subtraction, multiplication, or division throughout the equation or inequality. The solution process requires the strategic application of inverse operations, ensuring the equation's equilibrium is preserved until the variable is effectively isolated.

Solving for a Variable

JACQUELINE WALDRUM Question 1 of 15, Step 1 of 1 $0 / 15$ Correct 3 Isabel is buying a house for $\$ 170,000$. She plans to make a $10 \%$ down payment. Closing costs include $\$ 900$ for 6 months of homeowners insurance, $\$ 1050$ for 6 months of property tax, $\$ 150$ for the title fee, and $\$ 400$ in transaction fees. Isabel also agreed to pay three points in exchange for a $0.75 \%$ reduction in interest rate. Determine the amount of money Isabel needs to cover closing costs. Round your answer to the nearest cent. Answer

Solving Linear Equations

Solve the following multi-step linear equation: \(3x - 7 = 2x + 5\)

Solving Linear Inequalities

2. Complete the inequality by choosing the inequality sign which makes the expression true: \[ 2^{4} \] $\checkmark 3^{2}$

Finding the Quadratic Constant of Variation

If the equation \(y = ax^2 + bx + c\) is a parabola, find the quadratic constant of variation if the vertex of the parabola is at (2, -3) and it passes through the point (4, 5).