Chapter 1

Explain how the procedure for changing \(\frac{9}{12}\) to \(\frac{3}{4}\) requires the use of the multiplicative iden tity element, 1 .

Find each difference. $$ -3-(4-11) $$

Select the lesser of the two given numbers. \(-\frac{3}{8},-\frac{9}{16}\)

Simplify each expression. \(5 y^{3}+6 y^{3}-3 y^{2}-4 y^{2}\)

Perform each indicated operation. \((8-9)(4-12)\)

Use the distributive property to rewrite each expression. $$ 5(9+8) $$

Find each difference. $$ \frac{1}{2}-\left(-\frac{1}{4}\right) $$

Write each word statement as an equation. Use \(x\) as the variable. Then find the solution of the equation from the set \(\\{2,4,6,8,10\\} .\) \text { The sum of a number and } 8 \text { is } 18 \text { . }

Select the lesser of the two given numbers. 4,|-5|

Simplify each expression. \(2(4 x+6)+3\)

Perform each indicated operation. \((7-10)(10-4)\)

Insert one pair of parentheses in each expression so that the given value results when the operations are performed. $$ \begin{array}{r} 10-7-3 \\ =6 \end{array} $$

Use the distributive property to rewrite each expression. $$ 6(11+8) $$

A number minus three equals 1 .

Find each difference. $$ \frac{1}{3}-\left(-\frac{1}{12}\right) $$

Select the lesser of the two given numbers. 4,|-3|

Simplify each expression. \(4(6 y+9)+7\)

Perform each indicated operation. \((5-12)(19-4)\)

Use the distributive property to rewrite each expression. $$ 7(t+3) $$

One more than twice a number is 5 .

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

Select the lesser of the two given numbers. |-3.5|,|-4.5|

Simplify each expression. \(-6-4(y-7)\)

Perform each indicated operation. \((-2-8)(-6)+7\)

Use the distributive property to rewrite each expression. $$ 5(w+4) $$

Find each difference. $$ -\frac{5}{6}-\frac{1}{2} $$

Select the lesser of the two given numbers. |-8.9|,|-9.8|

Simplify each expression. \(-4-5(t-13)\)

Perform each indicated operation. \((-9-4)(-2)+10\)

Use the distributive property to rewrite each expression. $$ 7(z-8) $$

Find each difference. $$ \frac{5}{8}-\left(-\frac{1}{2}-\frac{3}{4}\right) $$

Select the lesser of the two given numbers. \(-|-6|,-|-4|\)

Simplify each expression. \(13 p+4(4-8 p)\)

Perform each indicated operation. \(3(-5)+|3-10|\)

Use the distributive property to rewrite each expression. $$ 8(x-6) $$

The sum of six-fifths of a number and 2 is 14 .

Find each difference. $$ \frac{9}{10}-\left(\frac{1}{8}-\frac{3}{10}\right) $$

Select the lesser of the two given numbers. \(-|-2|,-|-3|\)

Simplify each expression. \(5 x+3(7-2 x)\)

Perform each indicated operation. \(4(-8)+|4-15|\)

Use the distributive property to rewrite each expression. $$ -8(r+3) $$

Three times a number is equal to 8 more than twice the number.

Find each difference. $$ 3.4-(-8.2) $$

Simplify each expression. \(3 t-5-2(2 t-4)\)

Perform each indicated operation. \(|8-7(2)|-6(-2)\)

Use the distributive property to rewrite each expression. $$ -11(x+4) $$

Twelve divided by a number equals \(\frac{1}{3}\) times that number.

Find each difference. $$ 5.7-(-11.6) $$

Select the lesser of the two given numbers. \(|7-2|,|8-1|\)

Simplify each expression. \(8 p+6-3(3 p-1)\)