Chapter 1

Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$3 \frac{1}{2}$$

Find each sum without the use of a number line. $$-30+(-30)$$

Evaluate each expression for \(x=4\). $$\frac{12 x-8}{2 x}$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$22$$

Perform the indicated subtraction. $$-21-(-3)$$

perform the indicated multiplication. $$\left(-\frac{4}{5}\right)(-30)$$

In Exercises \(1-14\), evaluate each exponential expression. $$-8^{2}$$

Use the commutative property of addition to write an equivalent algebraic expression. $$6(x+4)$$

Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$2 \frac{1}{4}$$

Evaluate each expression for \(x=4\). $$\frac{5 x+52}{3 x}$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$15$$

Perform the indicated subtraction. $$-21-17$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$7 x^{2}+12 x^{2}$$

perform the indicated multiplication. $$-\frac{3}{5} \cdot\left(-\frac{4}{7}\right)$$

Find each sum without the use of a number line. $$-8+(-10)$$

Use the commutative property of multiplication to write an equivalent algebraic expression. $$9 x$$

Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$\frac{11}{3}$$

Evaluate each expression for \(x=7\) and \(y=5\). $$2 x+y$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$20$$

Perform the indicated subtraction. $$-29-21$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$6 x^{2}+18 x^{2}$$

perform the indicated multiplication. $$-\frac{5}{7} \cdot\left(-\frac{3}{8}\right)$$

Find each sum without the use of a number line. $$-4+(-6)$$

Use the commutative property of multiplication to write an equivalent algebraic expression. $$8 x$$

Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$\frac{7}{3}$$

Evaluate each expression for \(x=7\) and \(y=5\). $$3 x+y$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$75$$

Perform the indicated subtraction. $$-45-(-45)$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$10 x^{3}+5 x^{3}$$

perform the indicated multiplication. $$-\frac{7}{9} \cdot \frac{2}{3}$$

Find each sum without the use of a number line. $$-0.4+(-0.9)$$

Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$-1.8$$

Evaluate each expression for \(x=7\) and \(y=5\). $$2(x+y)$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$37$$

Perform the indicated subtraction. $$-65-(-65)$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$14 x^{3}+8 x^{3}$$

perform the indicated multiplication. $$-\frac{5}{11} \cdot \frac{2}{7}$$

Find each sum without the use of a number line. $$-1.5+(-5.3)$$

Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$-3.4$$

Evaluate each expression for \(x=7\) and \(y=5\). $$3(x+y)$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$23$$

Perform the indicated subtraction. $$23-23$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$8 x^{4}+x^{4}$$

perform the indicated multiplication. $$3(-1.2)$$

Find each sum without the use of a number line. $$-\frac{7}{10}+\left(-\frac{3}{10}\right)$$

Use the commutative property of multiplication to write an equivalent algebraic expression. $$7 x+23$$

Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$-\frac{16}{5}$$

Evaluate each expression for \(x=7\) and \(y=5\). $$4 x-3 y$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$36$$

Perform the indicated subtraction. $$26-26$$