SAT Math — Algebra (Set 2)
A second round of Algebra practice — fresh equations, systems, inequalities and functions.
Exam Tips for SAT Algebra
Knowledge Check
SAT StyleAnswer all 10 questions. A calculator is allowed, just like the real digital SAT.
Question 1 — Linear equations
If 4x - 9 = 23, what is the value of x?
Question 2 — Linear equations
If 3(x + 5) = 24, what is the value of x?
Question 3 — Linear equations
Which value of x satisfies 7x + 2 = 3x + 18?
Question 4 — Systems of equations
If 2x + y = 11 and x - y = 1, what is the value of x?
Question 5 — Linear functions
A line passes through the points (1, 2) and (4, 11). What is its slope?
Question 6 — Linear functions
If f(x) = 2x + 9, what is f(-3)?
Question 7 — Linear inequalities
Which inequality is equivalent to 3x - 4 > 11?
Question 8 — Perpendicular lines
Which equation represents a line perpendicular to y = ½x + 4, passing through (0, -2)?
Question 9 — Linear equations
If 5(x - 3) = 3(x + 1), what is the value of x?
Question 10 — Modeling with equations
A parking garage charges $4 plus $1.50 per hour. Which equation models the total cost C for h hours?
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Key Concepts Summary
- ●Systems of equations: adding/subtracting the equations can eliminate a variable directly.
- ●Perpendicular lines: slopes are negative reciprocals (flip the fraction, change the sign).
- ●Distributing: clear parentheses on both sides before collecting like terms.
- ●Word problems: flat fees stay constant; per-unit rates get multiplied by the variable.