## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 6 - Algebra: Equations and Inequalities - 6.1 Algebraic Expressions and Formulas - Exercise Set 6.1 - Page 347: 32

-22

#### Work Step by Step

Given -$x^{2}$ -3xy +4$y^{3}$, x=-3, y=-1 Step 1: Put the value of x=-3 and y=-1 for each x and y in the expression =-$(-3)^{2}$ -3(-3)(-1) +4$(-1)^{3}$ Step 2: Evaluate the exponential expression$(-3)^{2}$ = (-3)(-3) = 9 $(-1)^{3}$ = (-1)(-1)(-1) = -1 =-9-3(-3)(-1)+4(-1) Step 3: Multiply 3(-3)(-1) = 9, 4(-1) = -4 = -9-9-4 Step 4: Add and Subtract from left to right first add -9-9 -18-4 = -22

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