Worksheet (with Solutions): Algebra Foundations

Q1: What is the value of \(3x + 5\) when \(x = 4\)?
(a) 12
(b) 17
(c) 20
(d) 32

Q2: Which property of real numbers is illustrated by \(7 + (3 + 2) = (7 + 3) + 2\)?
(a) Commutative Property
(b) Associative Property
(c) Distributive Property
(d) Identity Property

Q3: Simplify: \(5(2x - 3) + 4x\)
(a) \(10x - 3\)
(b) \(14x - 15\)
(c) \(14x - 3\)
(d) \(10x - 15\)

Q4: Solve for \(y\): \(y - 8 = 15\)
(a) 7
(b) 23
(c) -23
(d) -7

Q5: Which of the following is a coefficient in the expression \(4x^2 - 7x + 9\)?
(a) 2
(b) 9
(c) -7
(d) \(x\)

Q6: What is the solution to \(\frac{x}{3} = 12\)?
(a) 4
(b) 9
(c) 15
(d) 36

Q7: Evaluate \(2a^2 - 3b\) when \(a = -2\) and \(b = 4\).
(a) -4
(b) 20
(c) -20
(d) -4

Q8: Which equation represents the statement "Five more than twice a number is 19"?
(a) \(2x + 5 = 19\)
(b) \(5x + 2 = 19\)
(c) \(2(x + 5) = 19\)
(d) \(5 + x + 2 = 19\)