Digital SAT Math: Linear equations in one variable- Practice Questions - 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
DSAT MAth and English – full syllabus practice tests
▶️ Answer/Explanation
Solution
1. Solve the original equation:
\( 8x = 2x + 12 \)
Subtract \(2x\) from both sides:
\( 6x = 12 \)
Divide by 6:
\( x = 2 \)
Subtract \(2x\) from both sides:
\( 6x = 12 \)
Divide by 6:
\( x = 2 \)
2. Check each option for \(x = 2\):
Option A: \(10x = -12\) ⇒ \(x = -1.2\) ✗
Option B: \(10x = 12\) ⇒ \(x = 1.2\) ✗
Option C: \(6x = -12\) ⇒ \(x = -2\) ✗
Option D: \(6x = 12\) ⇒ \(x = 2\) ✓
Option B: \(10x = 12\) ⇒ \(x = 1.2\) ✗
Option C: \(6x = -12\) ⇒ \(x = -2\) ✗
Option D: \(6x = 12\) ⇒ \(x = 2\) ✓
✅ Answer: D) \(6x = 12\)
Question Easy
Line segment \(A C\) has a length of 120 and contains point \(B\). If \(A B=5 x+20\) and \(B C=6 x-10\), which equation shows the relationship between the lengths of line segments \(A B, B C\), and \(A C\) ?
A) \(5 x+20=120\)
B) \(6 x-10=120\)
C) \((5 x+20)-(6 x-10)=120\)
D) \((5 x+20)+(6 x-10)=120\)
▶️ Answer/Explanation
Solution
1. Establish the relationship between segments:
Since \(B\) is between \(A\) and \(C\): \(AB + BC = AC\)
2. Substitute given values:
\((5x + 20) + (6x – 10) = 120\)
3. Simplify:
\(11x + 10 = 120\)
✅ Answer: D) \((5x + 20) + (6x – 10) = 120\)
Question Easy
\(\frac{4x}{5}=20\)
In the equation above, what is the value of x ?
A. 25
B. 24
C. 16
D. 15
▶️ Answer/Explanation
Solution
1. Multiply both sides by 5:
\(4x = 100\)
2. Divide both sides by 4:
\(x = 25\)
✅ Answer: A) 25