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SAT Math: Linear Equations (Drill 2)

Drill 2 · Math · Linear Equations

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About This Drill

SAT Math: Linear Equations (Drill 2) is a Math practice drill covering Linear Equations. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT linear equation questions ask you to solve for variables, interpret constants and coefficients in context, and rewrite equations in equivalent forms. This drill includes problems involving rate of change, graphing lines, and interpreting slope in practical situations.

Questions & Explanations

Question 1. If 5(x − 3) = 2x + 9, what is the value of x?

  • A) 6
  • B) 8 ✓
  • C) 10
  • D) 12

Explanation: Distribute: 5x − 15 = 2x + 9. Subtract 2x: 3x − 15 = 9. Add 15: 3x = 24. x = 8.

Question 2. A car rental company charges C = 0.35m + 50. What does 50 represent?

  • A) The cost per mile driven
  • B) The total cost if 50 miles are driven
  • C) The number of miles included at no charge for the equation shown
  • D) The base rental cost before any miles are driven ✓

Explanation: The constant 50 is the cost when m = 0, the base rental cost. The coefficient 0.35 is the cost per mile.

Question 3. The equation y = −3x + 15 represents a line. At what value of x does it cross the x-axis?

  • A) 5 ✓
  • B) 3
  • C) −15
  • D) 15

Explanation: Set y = 0: 0 = −3x + 15. 3x = 15. x = 5. Choice D (15) is the y-intercept.

Question 4. A school orders T-shirts: $150 setup fee plus $8 per shirt. With a $630 budget, what is the maximum number of shirts?

  • A) 50
  • B) 55
  • C) 60 ✓
  • D) 65

Explanation: 150 + 8n ≤ 630. 8n ≤ 480. n ≤ 60.

Question 5. If 4a + 6b = 30, what is the value of 2a + 3b?

  • A) 10
  • B) 12
  • C) 14
  • D) 15 ✓

Explanation: 4a + 6b = 2(2a + 3b) = 30, so 2a + 3b = 15.