Chapter 1

Introductory and Intermediate Algebra for College Students 4th · 888 exercises

Problem 1

Evaluate each exponential expression. $$9^{2}$$

3 step solution

Problem 1

In Exercises \(1-34,\) perform the indicated multiplication. $$5(-9)$$

2 step solution

Problem 1

Find each sum using a number line. $$7+(-3)$$

3 step solution

Problem 1

An algebraic expression is given. Use each expression to answer the following questions. a. How many terms are there in the algebraic expression? b. What is the numerical coefficient of the first term? c. What is the constant term? d. Does the algebraic expression contain like terms? If so, what are the like terms? $$3 x+5$$

4 step solution

Problem 1

Consider the subtraction \(5-12\). a. Find the opposite, or additive inverse, of 12 b. Rewrite the subtraction as the addition of the opposite of 12

2 step solution

Problem 1

Evaluate each expression for \(x=4\). $$x+8$$

2 step solution

Problem 1

Convert each mixed number to an improper fraction. $$2 \frac{3}{8}$$

4 step solution

Problem 2

Evaluate each exponential expression. $$3^{2}$$

3 step solution

Problem 2

In Exercises \(1-34,\) perform the indicated multiplication. $$10(-7)$$

2 step solution

Problem 2

Find each sum using a number line. $$7+(-2)$$

3 step solution

Problem 2

An algebraic expression is given. Use each expression to answer the following questions. a. How many terms are there in the algebraic expression? b. What is the numerical coefficient of the first term? c. What is the constant term? d. Does the algebraic expression contain like terms? If so, what are the like terms? $$9 x+4$$

4 step solution

Problem 2

Consider the subtraction \(4-10\). a. Find the opposite, or additive inverse, of \(10 .\) b. Rewrite the subtraction as the addition of the opposite of 10

2 step solution

Problem 2

Evaluate each expression for \(x=4\). $$x+10$$

3 step solution

Problem 2

Write a positive or negative integer that describes each situation. 65 feet above sea level

2 step solution

Problem 2

Convert each mixed number to an improper fraction. $$2 \frac{7}{9}$$

3 step solution

Problem 3

Evaluate each exponential expression. $$4^{3}$$

2 step solution

Problem 3

In Exercises \(1-34,\) perform the indicated multiplication. $$(-8)(-3)$$

3 step solution

Problem 3

Find each sum using a number line. $$-2+(-5)$$

3 step solution

Problem 3

An algebraic expression is given. Use each expression to answer the following questions. a. How many terms are there in the algebraic expression? b. What is the numerical coefficient of the first term? c. What is the constant term? d. Does the algebraic expression contain like terms? If so, what are the like terms? $$x+2+5 x$$

4 step solution

Problem 3

Consider the subtraction \(5-(-7)\) a. Find the opposite, or additive inverse, of \(-7\) b. Rewrite the subtraction as the addition of the opposite of \(-7\)

2 step solution

Problem 3

Evaluate each expression for \(x=4\). $$12-x$$

3 step solution

Problem 3

Write a positive or negative integer that describes each situation. A gain of 8 pounds

3 step solution

Problem 3

Convert each mixed number to an improper fraction. $$7 \frac{3}{5}$$

3 step solution

Problem 4

In Exercises \(1-34,\) perform the indicated multiplication. $$(-9)(-5)$$

2 step solution

Problem 4

Evaluate each exponential expression. $$6^{3}$$

3 step solution

Problem 4

Find each sum using a number line. $$-1+(-5)$$

3 step solution

Problem 4

An algebraic expression is given. Use each expression to answer the following questions. a. How many terms are there in the algebraic expression? b. What is the numerical coefficient of the first term? c. What is the constant term? d. Does the algebraic expression contain like terms? If so, what are the like terms? $$x+6+7 x$$

4 step solution

Problem 4

Consider the subtraction \(2-(-8)\) a. Find the opposite, or additive inverse, of \(-8\) b. Rewrite the subtraction as the addition of the opposite of \(-8\)

2 step solution

Problem 4

Evaluate each expression for \(x=4\). $$16-x$$

2 step solution

Problem 4

Write a positive or negative integer that describes each situation. A loss of \(\$ 12,500.00\)

3 step solution

Problem 4

Convert each mixed number to an improper fraction. $$6 \frac{2}{5}$$

3 step solution

Problem 5

In Exercises \(1-34,\) perform the indicated multiplication. $$(-3)(7)$$

4 step solution

Problem 5

Evaluate each exponential expression. $$(-4)^{2}$$

3 step solution

Problem 5

Find each sum using a number line. $$-6+2$$

3 step solution

Problem 5

An algebraic expression is given. Use each expression to answer the following questions. a. How many terms are there in the algebraic expression? b. What is the numerical coefficient of the first term? c. What is the constant term? d. Does the algebraic expression contain like terms? If so, what are the like terms? $$4 y+1+3 x$$

4 step solution

Problem 5

Perform the indicated subtraction. $$14-8$$

2 step solution

Problem 5

Evaluate each expression for \(x=4\). $$5 x$$

2 step solution

Problem 5

Write a positive or negative integer that describes each situation. A withdrawal of \(\$ 3000.00\)

2 step solution

Problem 5

Convert each mixed number to an improper fraction. $$8 \frac{7}{16}$$

3 step solution

Problem 6

In Exercises \(1-34,\) perform the indicated multiplication. $$(-4)(8)$$

3 step solution

Problem 6

Evaluate each exponential expression. $$(-10)^{2}$$

3 step solution

Problem 6

Find each sum using a number line. $$-8+3$$

3 step solution

Problem 6

An algebraic expression is given. Use each expression to answer the following questions. a. How many terms are there in the algebraic expression? b. What is the numerical coefficient of the first term? c. What is the constant term? d. Does the algebraic expression contain like terms? If so, what are the like terms? $$8 y+1+10 x$$

4 step solution

Problem 6

Perform the indicated subtraction. $$15-2$$

2 step solution

Problem 6

Evaluate each expression for \(x=4\). $$6 x$$

2 step solution

Problem 6

Write a positive or negative integer that describes each situation. An automobile slowing down at a rate of 3 meters per second each second

2 step solution

Problem 6

Convert each mixed number to an improper fraction. $$9 \frac{5}{16}$$

2 step solution

Problem 7

In Exercises \(1-34,\) perform the indicated multiplication. $$(-19)(-1)$$

2 step solution

Problem 7

Evaluate each exponential expression. $$(-4)^{3}$$

2 step solution

Problem 7

Find each sum using a number line. $$3+(-3)$$

5 step solution

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