Practice free →
HomeSATMathematics › Equations and Inequalities

SAT Equations and Inequalities — practice questions

22 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

Practice SAT Equations and Inequalities in the app →
A line rises 6 units while running 3 units across. Its slope is:A line passes through (1, 2) and (4, 8). Its slope is:Two lines have the same slope but different y-intercepts. Those lines are:One line has slope 4. A line perpendicular to it has slope:A student knows one point on a line and its slope, and wants the equation. She should use the:An equation is written as y = mx + b. The value of b tells you the:The endpoints of a segment are known and a student wants the point exactly halfway between them. She uses the:A student needs the straight-line length between two plotted points. She uses the:The plane is divided by the two axes into four sections. Each section is called a:A quadratic will not factor neatly and completing the square looks messy. The reliable method left is the:Before solving, a student computes the discriminant. What it tells her is the:An equation reads x squared equals 49. The quickest route to both answers is:Another method rewrites a quadratic as a perfect square trinomial before solving. That method is:Whatever number you start with, its absolute value is always:A statement joins two inequalities together in one line, such as 2 < x < 7. That statement is a:Rather than drawing a number line, a student writes the solution set with brackets and parentheses. That is:Complex numbers cannot sit on an ordinary number line, so they are plotted on a plane whose horizontal axis caTo clear a complex number from a denominator, a student multiplies by the term found by flipping the sign of tAn equation contains at least one rational expression, with a variable in a denominator. That equation is:Solving such an equation, a student clears every denominator at once by multiplying through by the:After squaring both sides of a radical equation, a student finds a root that fails the original check. That roSimplifying an equation, a student reaches a statement that can never be true. The equation therefore has: