Chapter 2

Find the sum. $$5.7+(-9.5)+5.2$$

Find the quotient. $$-18 \div \frac{3}{8}$$

Simplify the variable expression. $$(-3)(-y)$$

Find the difference. $$ -\frac{5}{8}-\frac{3}{4} $$

Write the numbers in increasing order. $$3 \frac{1}{2}, 3.4,4.1,-5,-5.1,-4 \frac{1}{2}$$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -4(t-8) $$

recall the properties of addition you learned on page 73. Does the associative property apply when adding matrices? Give an example to support your answer.

Find the sum. $$6.8+3.3+(-4.1)$$

WARDROBE Your cousin spills spaghetti sauce on her shirt and asks to borrow a clean shirt from you for the rest of the day. You decide to let her choose from a selection of 4 sweatshirts, 1 hockey shirt, 8 T-shirts, and 3 tank tops. If it is equally likely that your cousin will choose any shirt, what are the odds that she will choose a sweatshirt?

Find the quotient. $$-87 \div\left(-\frac{3}{5}\right)$$

Simplify the variable expression. $$(7)(-x)$$

Find the difference. $$ -\frac{9}{10}-\frac{1}{4} $$

Write the numbers in increasing order. $$7,-\frac{1}{2}, 2.4,-\frac{3}{4},-5.8, \frac{1}{3}$$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ (x+6)(-2) $$

Write the expression in exponential form. $$ 2 y \cdot 2 y \cdot 2 y $$

Find the sum. $$9.8+(-6.3)+(-7.2)$$

Writing Suppose you randomly choose a marble from a bag holding 11 green, 4 blue, and 5 yellow marbles. Use probability and odds to express how likely it is that you choose a yellow marble. Compare the two ways of expressing how likely it is to choose a yellow marble. If you find one (probability or odds) easier to understand or more useful than the other, explain why.

Simplify the expression. $$42 y \div \frac{1}{7}$$

Simplify the variable expression. $$5(-a)(-a)(-a)$$

Find the difference. $$ 6-|-2| $$

Write the numbers in increasing order. $$6.03,-6.08,-6.1,-6.11,-6.02,6.07$$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ x(x+1) $$

Write the expression in exponential form. five squared

Name the property that makes the statement true. $$-8+0=-8$$

Simplify the expression. $$6 t \div\left(-\frac{1}{2}\right)$$

Simplify the variable expression. $$(-4)(-x)(x)(-x)$$

Find the difference. $$ 15-|-6| $$

Find the opposite of the number. $$8$$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ (3-y) y $$

Write the expression in exponential form. four to the sixth power

Name the property that makes the statement true. $$2+(-3)=-3+2$$

Simplify the expression. $$58 z \div\left(-\frac{2}{5}\right)$$

Simplify the variable expression. $$-(-b)^{3}$$

Find the difference. $$ |5|-7.9 $$

Find the opposite of the number. $$-3$$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -r(r-9) $$

Write the expression in exponential form. $$ x \cdot x \cdot y \cdot y \cdot y $$

Name the property that makes the statement true. $$-2+2=0$$

Simplify the expression. $$-\frac{x}{12} \div 3$$

Simplify the variable expression. $$-(-4)^{2}(y)$$

Find the difference. $$ 34.1-|-57.2| $$

Find the opposite of the number. $$3.8$$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -s(7+s) $$

Write the expression in exponential form. two to the \(x\) th power

Name the property that makes the statement true. $$(-4+3)+1=-4+(3+1)$$

Simplify the expression. $$\frac{d}{4} \div 6$$

Simplify the variable expression. $$|(8)(-z)(-z)(-z)|$$

Evaluate the expression. $$ 2-(-4)-7 $$

Find the opposite of the number. $$-2.5$$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ 2(3 x-1) $$