Algebraic Expressions — Practice

Question 1

Write the terms and coefficients of: 3x^2 - 5xy + 2y - 8.

Accepted Answer

Terms: 3x^2 (coefficient 3), -5xy (coefficient -5), 2y (coefficient 2), -8 (constant).

Question 2

Add: (5m - 3n + 2) + (-2m + 7n - 5).

Accepted Answer

(5m - 2m) + (-3n + 7n) + (2 - 5) = 3m + 4n - 3.

Question 3

Subtract: (9p - 4q + 6) - (3p + 2q - 5).

Accepted Answer

9p - 4q + 6 - 3p - 2q + 5 = (9p - 3p) + (-4q - 2q) + (6 + 5) = 6p - 6q + 11.

Question 4

Find the value of 2a + 3b - 4c when a = 5, b = -2, c = 1.

Accepted Answer

2(5) + 3(-2) - 4(1) = 10 - 6 - 4 = 0.

Question 5

Simplify: (3x + 2y - z) - (5x - 3y + 2z) + (x + y + z).

Accepted Answer

3x + 2y - z - 5x + 3y - 2z + x + y + z = (3x - 5x + x) + (2y + 3y + y) + (-z - 2z + z) = -x + 6y - 2z.

Practice — Algebraic Expressions