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- Basic Math and Science Algebraic Equations and Inequalities Questions and Answers Flashcards

7 cards from real BMST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers flashcards as text

  1. What is the value of x if 7x - 3(x + 2) = 10?

    Answer: x = 4

    Distributing gives 7x - 3x - 6 = 10, so 4x = 16 and x = 4.

  2. Solve: 2x + 5 = x - 3

    Answer: x = -8

    Subtracting x from both sides gives x + 5 = -3, then x = -8.

  3. Which of the following is a solution to 3x + 2 ≤ 11?

    Answer: x = 3

    Solving gives x ≤ 3; checking x = 3: 3(3)+2 = 11 ≤ 11 is true.

  4. A science experiment requires a temperature T between 20°C and 30°C. Which inequality represents this?

    Answer: 20 ≤ T ≤ 30

    'Between and including' both endpoints means 20 ≤ T ≤ 30.

  5. Solve for x: (x + 3)/2 = 5

    Answer: x = 7

    Multiply both sides by 2 to get x + 3 = 10, then subtract 3 to get x = 7.

  6. If y = 3x - 4 and y = 11, what is x?

    Answer: x = 5

    Substituting y = 11 gives 11 = 3x - 4, so 3x = 15 and x = 5.

  7. Which algebraic expression models 'four times a number minus six equals ten'?

    Answer: 4n - 6 = 10

    'Four times a number' is 4n, minus six is -6, and equals ten gives the equation 4n - 6 = 10.