Chapter 1
Introductory Algebra for College Students · 884 exercises
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
3 step solution
Problem 1
In Exercises \(1-14\), evaluate each exponential expression. $$9^{2}$$
3 step solution
Problem 1
perform the indicated multiplication. \(5(-9)\)
3 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
Write a positive or negative integer that describes each situation. Meteorology: \(20^{\circ}\) below zero
2 step solution
Problem 1
Evaluate each expression for \(x=4\) $$x+8$$
3 step solution
Problem 1
Convert each mixed number to an improper fraction. $$2 \frac{3}{8}$$
3 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
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
perform the indicated multiplication. $$10(-7)$$
2 step solution
Problem 2
In Exercises \(1-14\), evaluate each exponential expression. $$3^{2}$$
2 step solution
Problem 2
Find each sum using a number line. $$7+(-2)$$
3 step solution
Problem 2
Write a positive or negative integer that describes each situation. Navigation: 65 feet above sea level
3 step solution
Problem 2
Evaluate each expression for \(x=4\). $$x+10$$
3 step solution
Problem 2
Convert each mixed number to an improper fraction. $$2 \frac{7}{9}$$
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 \(-7\)
3 step solution
Problem 3
In Exercises \(1-14\), evaluate each exponential expression. $$4^{3}$$
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
perform the indicated multiplication. $$(-8)(-3)$$
2 step solution
Problem 3
Find each sum using a number line. 3\. \(-2+(-5)\)
3 step solution
Problem 3
Write a positive or negative integer that describes each situation. Health: A gain of 8 pounds
2 step solution
Problem 3
Evaluate each expression for \(x=4\). $$12-x$$
3 step solution
Problem 3
Convert each mixed number to an improper fraction. $$7 \frac{3}{5}$$
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
In Exercises \(1-14\), evaluate each exponential expression. $$6^{3}$$
2 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
Find each sum using a number line. $$4 .-1+(-5)$$
3 step solution
Problem 4
perform the indicated multiplication. $$(-9)(-5)$$
3 step solution
Problem 4
Write a positive or negative integer that describes each situation. Economics: A loss of \(\$ 12,500,00\)
2 step solution
Problem 4
Evaluate each expression for \(x=4\). $$16-x$$
3 step solution
Problem 4
Convert each mixed number to an improper fraction. $$6 \frac{2}{5}$$
4 step solution
Problem 5
Perform the indicated subtraction. $$14-8$$
2 step solution
Problem 5
In Exercises \(1-14\), evaluate each exponential expression. $$(-4)^{2}$$
3 step solution
Problem 5
Write a positive or negative integer that describes each situation. Banking: A withdrawal of \(\$ 3000.00\)
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 multiplication. $$(-3)(7)$$
2 step solution
Problem 5
Find each sum using a number line. $$-6+2$$
3 step solution
Problem 5
Evaluate each expression for \(x=4\). $$5 x$$
2 step solution
Problem 5
Convert each mixed number to an improper fraction. $$8 \frac{7}{16}$$
4 step solution
Problem 6
Perform the indicated subtraction. $$15-2$$
3 step solution
Problem 6
In Exercises \(1-14\), evaluate each exponential expression. $$(-10)^{2}$$
2 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 multiplication. $$(-4)(8)$$
3 step solution
Problem 6
Write a positive or negative integer that describes each situation. Physics: An automobile slowing down at a rate of 3 meters per second each second
3 step solution
Problem 6
Find each sum using a number line. $$-8+3$$
3 step solution
Problem 6
Evaluate each expression for \(x=4\). $$6 x$$
2 step solution
Problem 6
Convert each mixed number to an improper fraction. $$9 \frac{5}{16}$$
3 step solution
Problem 7
Perform the indicated subtraction. $$8-1-4$$
2 step solution
Problem 7
In Exercises \(1-14\), evaluate each exponential expression. $$(-4)^{3}$$
3 step solution