ALEKS Linear Equations and Inequalities 1 — Questions and Answers
Question 1: What is the solution to 2x + 5 = 13?
- x = 3
- x = 4 (Correct answer)
- x = 9
- x = 6.5
Correct answer: x = 4
Subtracting 5 from both sides gives 2x = 8, and dividing by 2 gives x = 4.
Question 2: Solve for x: 3x − 7 = 2x + 5
- x = 12 (Correct answer)
- x = −2
- x = 2
- x = 7
Correct answer: x = 12
Subtracting 2x from both sides gives x − 7 = 5, and adding 7 to both sides gives x = 12.
Question 3: Which value satisfies −4x + 8 = 0?
- x = −2
- x = 2 (Correct answer)
- x = 4
- x = −4
Correct answer: x = 2
Adding 4x to both sides gives 8 = 4x, and dividing both sides by 4 gives x = 2.
Question 4: What is the slope of the line y = 3x − 5?
- −5
- 3 (Correct answer)
- −3
- 5
Correct answer: 3
In slope-intercept form y = mx + b, the coefficient of x is the slope, so m = 3.
Question 5: Solve: x/4 + 3 = 7
- x = 16 (Correct answer)
- x = 10
- x = 28
- x = 4
Correct answer: x = 16
Subtracting 3 from both sides gives x/4 = 4, and multiplying both sides by 4 gives x = 16.
Question 6: Which inequality represents 'x is at most 5'?
- x < 5
- x > 5
- x ≤ 5 (Correct answer)
- x ≥ 5
Correct answer: x ≤ 5
'At most 5' means x cannot exceed 5, including 5 itself, which is written as x ≤ 5.
Question 7: If 5x = 35, what is x?
- 175
- 30
- 7 (Correct answer)
- 40
Correct answer: 7
Dividing both sides by 5 gives x = 35 ÷ 5 = 7.
ALEKS Linear Equations and Inequalities 1
What is the solution to 2x + 5 = 13?