Digital SAT Math Practice Questions - Advanced : Linear equations in two variables - New Syllabus
DSAT MAth Practice questions – all topics
- Algebra Weightage: 35% Questions: 13-15
- Linear equations in one variable
- Linear equations in two variables
- Linear functions
- Systems of two linear equations in two variables
- Linear inequalities in one or two variables
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▶️ Answer/Explanation
Ans: B
Slope from \( (0, 2) \) to \( (1.5, 0) \): \( -\frac{4}{3} \)
Equation: \( y = -\frac{4}{3}x + 2 \)
At \( x = 0.25 \): \( r = -\frac{4}{3} \cdot 0.25 + 2 = \frac{5}{3} \)
Choice A: Incorrect, wrong slope
Choice C: Incorrect, extra term added
Choice D: Incorrect, misapplied intercept
▶️ Answer/Explanation
Ans: B
For \( y = mx + b \):
\( x = -2 \): \( y = -2m + b \)
\( x = 1 \): \( y = m + b \)
\( x = \frac{-b}{m} \): \( y = m \left( \frac{-b}{m} \right) + b = 0 \)
Option A: \( x = -2, y = -2m \); \( x = 1, y = m \); \( x = \frac{b}{m}, y = 0 \) (incorrect)
Option B: \( x = -2, y = -2m + b \); \( x = 1, y = m + b \); \( x = \frac{-b}{m}, y = 0 \) (correct)
Option C: \( x = -2, y = -2m + b \); \( x = 1, y = m + b \); \( x = b, y = 0 \) (incorrect)
Option D: \( x = -2, y = -2m \); \( x = 1, y = m \); \( x = b, y = 0 \) (incorrect)
Only Option B matches all values.