BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 5 — Questions and Answers
Question 1: What is the value of x if 7x - 3(x + 2) = 10?
- x = 4 (Correct answer)
- x = 2
- x = 8
- x = 5
Correct answer: x = 4
Distributing gives 7x - 3x - 6 = 10, so 4x = 16 and x = 4.
Question 2: Solve: 2x + 5 = x - 3
- x = -8 (Correct answer)
- x = 8
- x = -2
- x = 2
Correct answer: x = -8
Subtracting x from both sides gives x + 5 = -3, then x = -8.
Question 3: Which of the following is a solution to 3x + 2 ≤ 11?
- x = 3 (Correct answer)
- x = 4
- x = 5
- x = 6
Correct answer: x = 3
Solving gives x ≤ 3; checking x = 3: 3(3)+2 = 11 ≤ 11 is true.
Question 4: A science experiment requires a temperature T between 20°C and 30°C. Which inequality represents this?
- 20 ≤ T ≤ 30 (Correct answer)
- 20 < T < 30
- T ≥ 20 or T ≤ 30
- T > 20 and T > 30
Correct answer: 20 ≤ T ≤ 30
'Between and including' both endpoints means 20 ≤ T ≤ 30.
Question 5: Solve for x: (x + 3)/2 = 5
- x = 7 (Correct answer)
- x = 13
- x = 4
- x = 1
Correct answer: x = 7
Multiply both sides by 2 to get x + 3 = 10, then subtract 3 to get x = 7.
Question 6: If y = 3x - 4 and y = 11, what is x?
- x = 5 (Correct answer)
- x = 7
- x = 3
- x = 15
Correct answer: x = 5
Substituting y = 11 gives 11 = 3x - 4, so 3x = 15 and x = 5.
Question 7: Which algebraic expression models 'four times a number minus six equals ten'?
- 4n - 6 = 10 (Correct answer)
- 4(n - 6) = 10
- 6 - 4n = 10
- 4n + 6 = 10
Correct answer: 4n - 6 = 10
'Four times a number' is 4n, minus six is -6, and equals ten gives the equation 4n - 6 = 10.
BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 5
What is the value of x if 7x - 3(x + 2) = 10?