Chapter 1

In \(3-14,\) write the solution set of each equation. $$ |3 x-12|=9 $$

Solve and check each of the equations. \(x^{2}+10 x-24=0\)

Perform the indicated operations and write the result in simplest form. \(-\left(3 c^{4}\right)^{2}\)

Find the value of each given expression. \(|5+(-12)|\)

In \(3-8,\) write each polynomial as the product of its greatest common monomial factor and a polynomial. $$ 21 a^{2}-14 a+7 $$

In \(3-12,\) write the sum or difference of the given polynomials in simplest form. $$ \left(7 b^{2}-2 b+3\right)-\left(3 b^{2}+8 b+3\right) $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ 13-x=15 $$

In \(3-14,\) write the solution set of each equation. $$ |4 y+2|=14 $$

Write the solution set of each inequality if x is an element of the set of integers. \(x^{2}-8 x-20 \geq 0\)

Solve and check each of the equations. \(x^{2}-9 x=10\)

Perform the indicated operations and write the result in simplest form. 3\(b(5 b-4)\)

Find the value of each given expression. \(|-12+(-(-5))|\)

In \(9-26,\) write each expression as the product of two binomials. $$ y(y+1)-1(y+1) $$

In \(3-12,\) write the sum or difference of the given polynomials in simplest form. $$ \left(3+2 b+b^{2}\right)-\left(9+5 b+b^{2}\right) $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ |2 x+4|=22 $$

In \(3-14,\) write the solution set of each equation. $$ |35-5 x|=10 $$

Write the solution set of each inequality if x is an element of the set of integers. \(x^{2}+x-12<0\)

Solve and check each of the equations. \(4-x(x-3)=0\)

Perform the indicated operations and write the result in simplest form. 2\(x^{2} y\left(y-2 y^{2}\right)\)

Find the value of each given expression. \(|4-6+(-2)|\)

In \(9-26,\) write each expression as the product of two binomials. $$ 3 b(b-2)-4(b-2) $$

In \(3-12,\) write the sum or difference of the given polynomials in simplest form. $$ \left(4 x^{2}-3 x-5\right)-\left(3 x^{2}-10 x+3\right) $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ |3-y|=8 $$

In \(3-14,\) write the solution set of each equation. $$ |-5 a|+7=22 $$

Solve and check each of the equations. \(x(x+7)-2=28\)

Perform the indicated operations and write the result in simplest form. \((x+3)(2 x-1)\)

Find the value of each given expression. \(|8+(10-18)|\)

In \(9-26,\) write each expression as the product of two binomials. $$ 2 x(y+4)+3(y+4) $$

In \(3-12,\) write the sum or difference of the given polynomials in simplest form. $$ \left(y^{2}-y-7\right)+\left(3-2 y+3 y^{2}\right) $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ |4 a-12|=16 $$

In \(3-14,\) write the solution set of each equation. $$ |8+2 b|-3=9 $$

Write the solution set of each inequality if x is an element of the set of integers. \(x^{2}-2 x \geq 0\)

Solve and check each of the equations. \(2 x^{2}-x=12+x\)

Perform the indicated operations and write the result in simplest form. \((a-5)(a+4)\)

Find the value of each given expression. \(|3|-|3|\)

In \(3-12,\) write the sum or difference of the given polynomials in simplest form. $$ \left(2 a^{4}-5 a^{2}-1\right)+\left(a^{3}+a\right) $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ |2 x+3|-8=15 $$

In \(3-14,\) write the solution set of each equation. $$ |2 x-5|+2=13 $$

Write the solution set of each inequality if x is an element of the set of integers. \(x^{2}-x<6\)

Solve and check each of the equations. \(3 x^{2}-5 x=36-2 x\)

Perform the indicated operations and write the result in simplest form. \((3 x+1)(x-2)\)

Find the value of each given expression. \(|8|-|-2|-|2|\)

In \(9-26,\) write each expression as the product of two binomials. $$ 2 x^{3}-3 x^{2}-4 x+6 $$

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ 7 x+5=4 x+23 $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ 7 a+3 > 17 $$

In \(3-14,\) write the solution set of each equation. $$ |4 x-12|+8=0 $$

Write the solution set of each inequality if x is an element of the set of integers. \(x^{2}-4 x+4>0\)

Solve and check each of the equations. \(7=x(8-x)\)

Perform the indicated operations and write the result in simplest form. \((a+3)(a-3)\)

Find the value of each given expression. \(-(|-2|+|3|)\)