Examius
🇺🇸 SAT (Scholastic Assessment Test) · flashcards
SAT (Scholastic Assessment Test) Math: Algebra Flashcards
49 question-and-answer cards covering Math: Algebra as it is examined in SAT (Scholastic Assessment Test). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Math: Algebra deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
In the model y = mx + b for a real situation, what does the y-intercept b represent?
The starting/initial value of y when x = 0.
How do you find the x-intercept and the y-intercept of a line?
x-intercept: set y = 0 and solve for x. y-intercept: set x = 0 and solve for y.
In a cost equation C = 0.25m + 40, interpret the intercept 40 and slope 0.25.
40 is the fixed cost (when miles m = 0); 0.25 is the cost per mile.
How do you write the equation of a line given two points?
Find the slope m = (y2-y1)/(x2-x1), then plug m and one point into point-slope form, and simplify to the desired form.
How do you write a line's equation from its graph?
Read the y-intercept b directly off the y-axis, find the slope m from rise/run between two clear points, then write y = mx + b.
Write the equation (slope-intercept) of the line through (0, 3) with slope -2.
y = -2x + 3.
What is the substitution method for solving a system?
Solve one equation for one variable, substitute that expression into the other equation, solve for the remaining variable, then back-substitute.
Solve by substitution: y = 2x and x + y = 9.
x + 2x = 9, so x = 3 and y = 6.
What is the elimination (addition) method for solving a system?
Add or subtract the equations (after scaling so one variable's coefficients are opposites) to eliminate a variable, solve, then back-substitute.
Solve by elimination: x + y = 10 and x - y = 4.
Add: 2x = 14, so x = 7 and y = 3.
When would you scale equations before using elimination?
When no variable's coefficients are already equal or opposite; multiply one or both equations so a variable cancels when added/subtracted.
A system of two linear equations has exactly one solution when?
When the two lines have different slopes (they intersect at one point).
A system of two linear equations has NO solution when?
When the lines are parallel: same slope but different y-intercepts.
A system of two linear equations has infinitely many solutions when?
When the two equations represent the same line (same slope and same y-intercept).
For a system in standard form a1x+b1y=c1 and a2x+b2y=c2, what ratio test gives no solution?
a1/a2 = b1/b2 ≠ c1/c2 (coefficients proportional but constants not) means no solution.
When setting up a system from a word problem (e.g., two items with counts and total cost), what two equations do you typically write?
One equation for the total count/quantity and one for the total value/cost, each in the two unknowns.
How does solving an inequality differ from solving an equation?
It is solved the same way, except you reverse the inequality sign when multiplying or dividing both sides by a negative number.
Solve and graph: -2x > 6.
Divide by -2 and flip: x < -3. Graph: open circle at -3, shade to the left.
When graphing a linear inequality on a number line, when is the endpoint open vs closed?
Open circle for < or > (endpoint not included); closed/filled circle for ≤ or ≥ (endpoint included).
How do you graph a linear inequality in two variables (e.g., y > 2x + 1)?
Graph the boundary line y = 2x + 1 (dashed for < or >, solid for ≤ or ≥), then shade the half-plane that satisfies the inequality.
For y < mx + b vs y > mx + b, which region do you shade?
y < mx + b: shade below the line; y > mx + b: shade above the line.
How do you check which side to shade for a two-variable inequality?
Pick a test point not on the line (often (0,0)); if it makes the inequality true, shade that side, otherwise shade the other side.
What is the solution set of a system of inequalities in two variables?
The overlapping (intersection) region where the shaded areas of all inequalities overlap.
How do you model a real-world constraint like 'at most 20 items' or 'at least $100' with inequalities?
'At most/no more than' uses ≤; 'at least/no less than' uses ≥; combine the constraints (often with x ≥ 0, y ≥ 0) into a system of inequalities.
What this deck covers
The Math: Algebra deck follows the SAT (Scholastic Assessment Test) Math: Algebra syllabus — 4 chapters and 16 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.3 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 92 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Math: Algebra flashcards FAQ
How many Math: Algebra flashcards are in this SAT (Scholastic Assessment Test) deck?
49 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these SAT (Scholastic Assessment Test) flashcards free?
Yes. The preview here is free to read with no signup, and the full 49-card deck is free inside the Examius app.
What do the Math: Algebra cards cover?
They follow the SAT (Scholastic Assessment Test) Math: Algebra syllabus — 4 chapters and 16 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.