Chapter 1

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ y+12=5 y-4 $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ 9-2 b \leq 1 $$

In \(3-14,\) write the solution set of each equation. $$ |7-x|+2=12 $$

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

Solve and check each of the equations. \(9=x(6-x)\)

Perform the indicated operations and write the result in simplest form. \((5 b+2)(5 b-2)\)

Find the value of each given expression. \(|4-3|+|-1|\)

In \(9-26,\) write each expression as the product of two binomials. $$ x^{2}+7 x+x+7 $$

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ 7-2 a=3 a+32 $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ 3 < 4 x-1 < 11 $$

In \(15-26,\) solve each inequality and write the solution set if the variable is an element of the set of integers. $$ |x|>9 $$

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

Solve and check each of the equations. \(2 x(x+1)=12\)

Perform the indicated operations and write the result in simplest form. \((a+3)^{2}\)

Use the definition of subtraction to write each subtraction as a sum. \(8-5=3\)

In \(9-26,\) write each expression as the product of two binomials. $$ x^{2}+5 x+6 $$

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ 12+6 b=2 b $$

In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ 0 < x-3 < 4 $$

In \(15-26,\) solve each inequality and write the solution set if the variable is an element of the set of integers. $$ |y+2|>7 $$

Write the solution set of each inequality if x is an element of the set of integers. \(2 x^{2}-2 x-24 \leq 0\)

Solve and check each of the equations. \(x(x-2)+2=1\)

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

Use the definition of subtraction to write each subtraction as a sum. \(7-(-2)=9\)

In \(9-26,\) write each expression as the product of two binomials. $$ x^{2}-5 x+6 $$

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ 2 x+3 < x+15 $$

In \(15-26,\) solve each inequality and write the solution set if the variable is an element of the set of integers. $$ |b+6| \leq 5 $$

Write the solution set of each inequality if x is an element of the set of integers. \(2 x^{2}-2 x-24>0\)

Solve and check each of the equations. \(3 x(x-10)+80=5\)

Perform the indicated operations and write the result in simplest form. \((y-1)\left(y^{2}-2 y+1\right)\)

Use the definition of subtraction to write each subtraction as a sum. \(-2-5=-7\)

In \(9-26,\) write each expression as the product of two binomials. $$ x^{2}+5 x-6 $$

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ 5 y-1 \geq 2 y+5 $$

In \(18-23,\) write and solve an equation or an inequality to solve the problem. Peter had 156 cents in coins. After he bought 3 packs of gum he had no more than 9 cents left. What is the minimum cost of a pack of gum?

In \(15-26,\) solve each inequality and write the solution set if the variable is an element of the set of integers. $$ |x-3|<4 $$

A rectangular floor can be covered completely with tiles that each measure one square foot. The length of the floor is 1 foot longer than the width and the area is less than 56 square feet. What are the possible dimensions of the floor?

Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.

Perform the indicated operations and write the result in simplest form. \((2 x+3)\left(x^{2}+x-5\right)\)

Use the definition of subtraction to write each subtraction as a sum. \(-8-(-5)=-3\)

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

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ 9 y+2 \leq 7 y $$

In \(18-23,\) write and solve an equation or an inequality to solve the problem. In an algebra class, 3 students are working on a special project and the remaining students are working in groups of five. If there are 18 students in class, how many groups of five are there?

In \(15-26,\) solve each inequality and write the solution set if the variable is an element of the set of integers. $$ |y+6|>13 $$

A carton is completely filled with boxes that are 1 foot cubes. The length of the carton is 2 feet greater than the width and the height of the carton is 3 feet. If the carton holds at most 72 cubes, what are the possible dimensions of the carton?

The width of a rectangle is 12 feet less than the length. The area of the rectangle is 540 square feet. Find the dimensions of the rectangle.

Perform the indicated operations and write the result in simplest form. \(3 a+4(2 a-3)\)

Two distinct points on the number line represent the numbers \(a\) and \(b\) . If \(|5-a|=|5-b|=6,\) what are the values of \(a\) and \(b ?\)

In \(9-26,\) write each expression as the product of two binomials. $$ x^{2}+9 x+20 $$

In \(13-22,\) solve each equation or inequality. Each solution is an integer. $$ 14 c > 80-6 c $$

In \(18-23,\) write and solve an equation or an inequality to solve the problem. Andy paid a reservation fee of \(\$ 8\) plus \(\$ 12\) a night to board her cat while she was on vacation. If Andy paid \(\$ 80\) to board her cat, how many nights was Andy on vacation?

In \(15-26,\) solve each inequality and write the solution set if the variable is an element of the set of integers. $$ |2 b-7| \geq 9 $$