Math Problem Statement

a) Find the value of 2x + y when x = 4 and y = 3. b) Find the value of a^2 + b when a = -2 and b = 5.

Solution

The image shows two algebraic questions, and part (a) has already been solved, with the answer provided as 11. Let's go through the steps for both parts:

a) Find the value of 2x+y2x + y when x=4x = 4 and y=3y = 3

  1. Substitute x=4x = 4 and y=3y = 3 into the expression: 2x+y=2(4)+3=8+3=112x + y = 2(4) + 3 = 8 + 3 = 11 The answer for part (a) is indeed 11, which has been correctly provided.

b) Find the value of a2+ba^2 + b when a=2a = -2 and b=5b = 5

  1. Substitute a=2a = -2 and b=5b = 5 into the expression: a2+b=(2)2+5=4+5=9a^2 + b = (-2)^2 + 5 = 4 + 5 = 9 So, the answer for part (b) is 9.

Let me know if you would like more details or have any questions! Here are five related questions to practice:

  1. Find the value of 3x+4y3x + 4y when x=2x = 2 and y=1y = 1.
  2. Find the value of x2+2yx^2 + 2y when x=3x = -3 and y=4y = 4.
  3. Find the value of 5a2b5a - 2b when a=1a = 1 and b=1b = -1.
  4. Find the value of 2p2+q2p^2 + q when p=3p = 3 and q=7q = 7.
  5. Find the value of 3m+n23m + n^2 when m=0m = 0 and n=5n = 5.

Tip: Always check whether negative signs are inside or outside parentheses, especially when squaring numbers.

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Exponents

Formulas

2x + y
a^2 + b

Theorems

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Suitable Grade Level

Grades 7-9