Algebra I

Solve 2x + 7 = 15 and the answer is x = 4 — arrived at by isolating the variable, one operation at a time. That single move, isolating a variable through inverse operations, is the backbone of Algebra I. The course builds from there: linear equations with one variable, then two variables graphed as straight lines (slope-intercept form, y = mx + b), then systems of two linear equations solved by substitution or elimination, and inequalities graphed on a number line or coordinate plane.

Word problems translate real situations — a phone plan's flat fee plus per-minute charge, a car's distance over time — into exactly these linear relationships, which is usually where students either click with the subject or get stuck translating English into an equation.

Algebra I sits after Pre-Algebra and before Algebra II in the standard sequence: it assumes comfort with negative numbers, fractions, and order of operations, and it stops short of quadratics, polynomials of degree higher than one, and exponential functions — those come later. A tutor working through Algebra I with a student typically starts by locating exactly where the breakdown is: is it the algebra itself, or is it arithmetic underneath the algebra (a shaky fraction or a sign error) masquerading as an algebra problem?

That diagnosis changes what a session actually works on. Graphing tends to be the second common sticking point — students can solve an equation on paper but struggle to connect that same equation to a line's slope and where it crosses the axes, which is often more about spatial reasoning than about the algebra rules themselves.