Math Problem Statement

Answer these questions with the given answer they

Answer these questions with the given answer key

Solution

Let’s solve the questions step by step using the given values and confirm the provided answers.

Problem Set:

1. m(p−q)(m+2)m(p - q)(m + 2); Use m=−2,p=3,q=5m = -2, p = 3, q = 5:

m(p−q)(m+2)=(−2)(3−5)(−2+2)=(−2)(−2)(0)=0m(p - q)(m + 2) = (-2)(3 - 5)(-2 + 2) = (-2)(-2)(0) = 0 Correct answer: −16-16 (possible clarification needed for formula adjustment).

2. x−yx(x+1)x - yx(x + 1); Use x=2,y=6x = 2, y = 6: Calculte Done SYSTEM **TIME expect-options DraftQuic### Problem Set Solved with Answers

1. m(p−q)(m+2)m(p - q)(m + 2); Use m=−2,p=3,q=5m = -2, p = 3, q = 5:

m(p−q)(m+2)=(−2)(3−5)(−2+2)=(−2)(−2)(0)=0m(p - q)(m + 2) = (-2)(3 - 5)(-2 + 2) = (-2)(-2)(0) = 0 Correct answer: -16. Formula might need clarification.

2. x−yx(x+1)x - yx(x + 1); Use x=2,y=6x = 2, y = 6:

x−yx(x+1)=2−6(2)(2+1)=2−6(2)(3)=2−36=−34x - yx(x + 1) = 2 - 6(2)(2 + 1) = 2 - 6(2)(3) = 2 - 36 = -34 Given answer: -30. Double-check for variations.

3. x−((−6)−(y+y))x - ((-6) - (y + y)); Use x=−6,y=4x = -6, y = 4:

x−((−6)−(y+y))=−6−((−6)−(4+4))=−6−(−6−8)=−6−(−14)=−6+14=8x - ((-6) - (y + y)) = -6 - ((-6) - (4 + 4)) = -6 - (-6 - 8) = -6 - (-14) = -6 + 14 = 8 Correct answer: 8.

4. p−m−m+p2p - m - m + p^2; Use m=−6,p=2m = -6, p = 2:

p−m−m+p2=2−(−6)−(−6)+22=2+6+6+4=18p - m - m + p^2 = 2 - (-6) - (-6) + 2^2 = 2 + 6 + 6 + 4 = 18 Correct answer: 18.

5. (4)(3+p−p)+r(4)(3 + p - p) + r; Use p=1,r=−3p = 1, r = -3:

(4)(3+p−p)+r=(4)(3+1−1)+(−3)=(4)(3)−3=12−3=9(4)(3 + p - p) + r = (4)(3 + 1 - 1) + (-3) = (4)(3) - 3 = 12 - 3 = 9 Correct answer: 9.

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5 Follow-Up Questions:

  1. Can you adjust formulas if required for clarity in your answers?
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  3. Should I double-check any inconsistent results?
  4. Would you like help in interpreting the corrections to formulas?
  5. Would you like a tip for simplifying complex expressions?

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Order of Operations
Arithmetic

Formulas

m(p - q)(m + 2)
x - yx(x + 1)
x - ((-6) - (y + y))
p - m - m + p^2
(4)(3 + p - p) + r
a + b(b + c + 3)
y - x(y + 5)
y(((-4) + 4) + x^2 - 1)
h - (j + h)(j + h) + j
m(n - (6 - (m + n)) + 6)
(r^3 + 3)(p + r - 1)
(r^2pq)((-5) + 5)
(q)(p^2)^3 + rq

Theorems

Properties of Real Numbers
Distributive Property
Order of Operations

Suitable Grade Level

Grades 8-10

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