Chapter 1

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$14 x^{4}+x^{4}$$

perform the indicated multiplication. $$4(-1.2)$$

Find each sum without the use of a number line. $$-\frac{7}{8}+\left(-\frac{1}{8}\right)$$

Use the commutative property of multiplication to write an equivalent algebraic expression. $$13 x+11$$

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

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

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$100$$

Perform the indicated subtraction. $$13-(-13)$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$26 x^{2}-27 x^{2}$$

perform the indicated multiplication. $$-0.2(-0.6)$$

Use the commutative property of multiplication to write an equivalent algebraic expression. $$5(x+3)$$

Find each sum without the use of a number line. $$-9+4$$

Express each rational number as a decimal. $$\frac{3}{4}$$

Evaluate each expression for \(x=7\) and \(y=5\). $$\frac{21}{x}+\frac{35}{y}$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$140$$

Perform the indicated subtraction. $$15-(-15)$$3

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$29 x^{2}-30 x^{2}$$

perform the indicated multiplication. $$-0.3(-0.7)$$

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

Find each sum without the use of a number line. $$-7+3$$

Express each rational number as a decimal. $$\frac{5}{5}$$

Evaluate each expression for \(x=7\) and \(y=5\). $$\frac{50}{y}-\frac{14}{x}$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$110$$

Perform the indicated subtraction. $$0-13$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$27 x^{3}-26 x^{3}$$

perform the indicated multiplication. $$(-5)(-2)(3)$$

Use an associative property to rewrite each algebraic expression. Once the grouping has been changed, simplify the resulting algebraic expression. $$7+(5+x)$$

Find each sum without the use of a number line. $$12+(-8)$$

Express each rational number as a decimal. $$\frac{7}{20}$$

Evaluate each expression for \(x=7\) and \(y=5\). $$\frac{2 x-y+6}{2 y-x}$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$79$$

Perform the indicated subtraction. $$0-15$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$30 x^{3}-29 x^{3}$$

perform the indicated multiplication. $$(-6)(-3)(10)$$

Use an associative property to rewrite each algebraic expression. Once the grouping has been changed, simplify the resulting algebraic expression. $$9+(3+x)$$

Find each sum without the use of a number line. $$13+(-5)$$

Express each rational number as a decimal. $$\frac{3}{20}$$

Evaluate each expression for \(x=7\) and \(y=5\). $$\frac{2 y-x+24}{2 x-y}$$

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$83$$

Perform the indicated subtraction. $$0-(-13)$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$5 x^{2}+5 x^{3}$$

perform the indicated multiplication. $$(-4)(-3)(-1)(6)$$

Use an associative property to rewrite each algebraic expression. Once the grouping has been changed, simplify the resulting algebraic expression. $$7(4 x)$$

Find each sum without the use of a number line. $$6+(-9)$$

Express each rational number as a decimal. $$\frac{7}{8}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. four more than a number

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$81$$

Perform the indicated subtraction. $$0-(-15)$$

In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$8 x^{2}+8 x^{3}$$

perform the indicated multiplication. $$(-2)(-7)(-1)(3)$$