Chapter 1

Simplify each expression. \(6(3 p-2)-(5 p+1)\)

Determine whether each statement is true or false. \(-|-12| \leq-|-15|\)

Use the distributive property to rewrite each expression. $$ -\frac{4}{3}(12 y+15 z) $$

Perform each indicated operation. $$ |-5-6|+|9+2| $$

Perform each indicated operation. \(\frac{8(-1)-|(-4)(-3)|}{-6-(-1)}\)

Simplify each expression. \(-\frac{4}{3}(y-12)-\frac{1}{6} y\)

Determine whether each statement is true or false. \(|6-5| \geq|6-2|\)

Use the distributive property to rewrite each expression. $$ -\frac{2}{5}(10 b+20 a) $$

Perform each indicated operation. $$ |-4+8|+|6-1| $$

Simplify each expression. \(-\frac{7}{5}(t-15)-\frac{1}{2} t\)

Determine whether each statement is true or false. \(|13-8| \leq|7-4|\)

Use the distributive property to rewrite each expression. $$ 8(3 r+4 s-5 y) $$

Perform each indicated operation. \(\frac{-13(-4)-(-8)(-2)}{(-10)(2)-4(-2)}\)

Perform each indicated operation. $$ |-8-2|-|-9-3| $$

Simplify each expression. \(\frac{1}{2}(2 x+4)-\frac{1}{3}(9 x-6)\)

Use the distributive property to rewrite each expression. $$ 2(5 u-3 v+7 w) $$

Perform each indicated operation. \(\frac{-5(2)+[3(-2)-4]}{-3-(-1)}\)

Perform each indicated operation. $$ |-4-2|-|-8-1| $$

Simplify each expression. \(\frac{1}{4}(8 x+16)-\frac{1}{5}(20 x-15)\)

Use the distributive property to rewrite each expression. $$ -3(8 x+3 y+4 z) $$

Perform each indicated operation. $$ \left(-\frac{3}{8}-\frac{2}{3}\right)-\left(-\frac{9}{8}-3\right) $$

Simplify each expression. \(-\frac{2}{3}(5 x+7)-\frac{1}{3}(4 x+8)\)

Use the distributive property to rewrite each expression. $$ -5(2 x-5 y+6 z) $$

Perform each indicated operation. $$ \left(-\frac{3}{4}-\frac{5}{2}\right)-\left(-\frac{1}{8}-1\right) $$

Simplify each expression. \(-\frac{3}{4}(7 x+9)-\frac{1}{4}(5 x+7)\)

Write each expression without parentheses. $$ -(4 t+3 m) $$

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \(5 x-2 y+3 a\)

Perform each indicated operation. $$ \left(-\frac{1}{2}+0.25\right)-\left(-\frac{3}{4}+0.75\right) $$

Simplify each expression. \(-7.5(2 y+4)-2.9(3 y-6)\)

Write each expression without parentheses. $$ -(9 x+12 y) $$

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \(6 x-5 y+4 a\)

Perform each indicated operation. $$ \left(-\frac{3}{2}-0.75\right)-\left(0.5-\frac{1}{2}\right) $$

Simplify each expression. \(8.4(6 t-6)+2.4(9-3 t)\)

Write each expression without parentheses. $$ -(-5 c-4 d) $$

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \((2 x+y)(3 a)\)

Perform each indicated operation. $$ -9+[(3-2)-(-4+2)] $$

Write each expression without parentheses. $$ -(-13 x-15 y) $$

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \((5 x-2 y)(-2 a)\)

Perform each indicated operation. $$ -8-[(-4-1)+(9-2)] $$

Simplify each expression. \(-2(3 r-4)-(6-r)+2 r-5\)

Write each expression without parentheses. $$ -(-3 q+5 r-8 s) $$

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \(\left(\frac{1}{3} x-\frac{4}{5} y\right)\left(-\frac{1}{5} a\right)\)

Write each expression without parentheses. $$ -(-z+5 w-9 y) $$

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \(\left(\frac{5}{6} x+\frac{3}{2} y\right)\left(-\frac{1}{3} a\right)\)

Simplify each expression. \(-5(8 x+2)-(5 x-3)-3 x+17\)

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \((6-x)(5+y)(3+a)\)

Perform each indicated operation. $$ -9.12+[(-4.8-3.25)+11.279] $$

Write each of the following as a mathematical expression, and simplify. Add \(3 x-2\) to \(4 x+8\)

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \((-5+x)(-3+y)(3-a)\)

Perform each indicated operation. $$ -7.62-[(-3.99+1.427)-(-2.8)] $$