Chapter 3

Evaluate the expression \(x+y\) for the given values of \(x\) and \(y .\) $$x=62.97, y=-43.85$$

Evaluate the variable expression for \(a=-2, b=3, c=-1,\) and \(d=4\) $$|2 a|-|c+a|^{2}$$

Evaluate the expression for the given values of the variables. $$-x y z, \text { for } x=-6, y=2, \text { and } z=-5$$

Write the expression in words. $$-(-13)$$

Evaluate the expression \(x+y\) for the given values of \(x\) and \(y .\) $$x=-6.175, y=-19.49$$

Evaluate the variable expression for \(a=-2, b=3, c=-1,\) and \(d=4\) $$|a+d|^{2}+|c-b|^{2}$$

Evaluate the expression for the given values of the variables. $$-8 a, \text { for } a=-24$$

Write the expression in words. $$-(-d)$$

Evaluate the expression \(x+y\) for the given values of \(x\) and \(y .\) $$x=-28.07, y=17.58$$

Evaluate the variable expression for \(a=-2, b=3, c=-1,\) and \(d=4\) $$\left|\frac{b c}{d-a}\right| \div \frac{c}{a}$$

Evaluate the expression for the given values of the variables. $$-7 n, \text { for } n=-51$$

Write the expression in words. $$-(-p)$$

Evaluate the expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=-\frac{11}{12}, y=\frac{5}{12}$$

Is the fifth power of \(-18\) positive or negative?

Evaluate the expression for the given values of the variables. \(5 x y,\) for \(x=-9\) and \(y=-2\)

Write the expression in words. $$-2+(-5)$$

Evaluate the expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=-\frac{15}{16}, y=\frac{5}{16}$$

Is the product \(-\left(3^{2}\right)\left(-5^{3}\right)\) positive or negative?

Evaluate the expression for the given values of the variables. \(8 a b,\) for \(a=7\) and \(b=-1\)

Write the expression in words. $$5+(-10)$$

Evaluate the expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=-\frac{2}{3}, y=-\frac{3}{4}$$

What is the smallest integer greater than \(-2^{2}-(-3)^{2}+5(4) \div 10-(-6) ?\)

Evaluate the expression for the given values of the variables. \(-4 c d,\) for \(c=25\) and \(d=-8\)

Write the expression in words. $$6-(-7)$$

Evaluate the expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=-\frac{5}{12}, y=-\frac{5}{9}$$

Evaluate \(a \div b c\) and \(a \div(b c)\) for \(a=16, b=2,\) and \(c=-4 .\) Explain why the answers are not the same.

Evaluate the expression for the given values of the variables. \(-x+(-y)+z,\) for \(x=-2, y=8,\) and \(z=-11\)

Write the expression in words. $$-14-(-3)$$

Evaluate the expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=-21.073, y=6.48$$

a. Is \(-4\) a solution of the equation \(x^{2}-2 x-8=0 ?\) b. Is \(-3\) a solution of the equation \(x^{3}+3 x^{2}-5 x-15=0 ?\)

Identify the property that justifies the statement. $$-12+5=5+(-12)$$

Write the expression in words. $$9-12$$

Is \(-4\) a solution of the equation \(6 m=-24 ?\)

Evaluate the expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=-3.69, y=-1.527$$

Insert one set of parentheses in the expression \(6-12 \div 2 \cdot 3-5^{2}\) to make the equation true. $$6-12 \div 2 \cdot 3-5^{2}=-34$$

Identify the property that justifies the statement. $$-33+0=-33$$

Write the expression in words. $$-13-8$$

Is \(-3\) a solution of the equation \(-5 x=-15 ?\)

Evaluate the expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=-8.21, y=-6.798$$

Insert one set of parentheses in the expression \(6-12 \div 2 \cdot 3-5^{2}\) to make the equation true. $$6-12 \div 2 \cdot 3-5^{2}=-18$$

Identify the property that justifies the statement. $$-46+46=0$$

Write the expression in words. $$-a-b$$

Is \(-6\) a solution of the equation \(48=-8 y ?\)

Is \(-\frac{5}{6}\) a solution of the equation \(\frac{1}{4}+x=-\frac{7}{12} ?\)

Insert one set of parentheses in the expression \(6-12 \div 2 \cdot 3-5^{2}\) to make the equation true. $$6-12 \div 2 \cdot 3-5^{2}=-21$$

Identify the property that justifies the statement. $$-7+(3+2)=(-7+3)+2$$

Write the expression in words. $$m+(-n)$$

Is 0 a solution of the equation \(-8=-8 a ?\)

Is \(\frac{5}{8}\) a solution of the equation \(-\frac{1}{4}=x-\frac{7}{8} ?\)

Use the given property of addition to complete the statement. The Associative Property of Addition $$-11+(6+9)=(?+6)+9$$