What the ASVAB is actually testing
Linear algebra questions on MK always have one goal: solve for an unknown. The variable might be x, it might be in a formula, or it might be embedded in a geometry calculation. The ASVAB doesn't test advanced algebra — no quadratics, no logarithms. It tests whether you can isolate a variable using the basic rules of equality.
If you can reliably do that, you'll get full credit on this topic.
Isolating the variable: the one principle
Whatever you do to one side of an equation, you must do to the other. That's it. Every multi-step algebra problem is just that rule applied repeatedly until the variable stands alone.
Undo operations in reverse order of operations. If the equation is 3x − 7 = 14, addition/subtraction happened last (the −7), so undo it first. Then undo the multiplication (the 3×).
Distributing negatives: where most errors happen
When a negative is outside parentheses, it applies to every term inside. −3(x − 4) is not −3x − 12. The double negative gives you −3x + 12. This is the single most common algebra mistake on the ASVAB.
Write out the distribution step explicitly — don't do it in your head.
Slope-intercept form
The ASVAB tests y = mx + b mostly by asking for the slope, y-intercept, or a specific y-value given an x. Know that m is slope (rise over run) and b is where the line crosses the y-axis. Plug in and compute — there's nothing tricky here as long as you don't mix up which constant is which.
Connection to other topics
Linear algebra connects to every MK topic that uses formulas — geometry perimeter, area, and volume problems are often algebra in disguise: you're given one value and asked to solve for a dimension. Fractions and decimals also appear as coefficients, so combine this topic with fractions-decimals for the full picture.