Contents

Preface
1Foundations
- Introduction
- 1.1Use the Language of Algebra
- 1.2Integers
- 1.3Fractions
- 1.4Decimals
- 1.5Properties of Real Numbers
- Chapter Review
  Key Terms
  Key Concepts
- Exercises
  Review Exercises
  Practice Test
2Solving Linear Equations
3Graphs and Functions
4Systems of Linear Equations
5Polynomials and Polynomial Functions
6Factoring
7Rational Expressions and Functions
8Roots and Radicals
9Quadratic Equations and Functions
10Exponential and Logarithmic Functions
11Conics
12Sequences, Series and Binomial Theorem
- Introduction
- 12.1Sequences
- 12.2Arithmetic Sequences
- 12.3Geometric Sequences and Series
- 12.4Binomial Theorem
- Chapter Review
  Key Terms
Answer Key
Index

Practice Test

466.

Find the prime factorization of $756 . 756 .$

467.

Combine like terms: $5 n + 8 + 2 n - 1 5 n + 8 + 2 n - 1$

468.

Evaluate when $x = −2 x = −2$ and $y = 3 : y = 3 :$ $\frac{| 3 x - 4 y |}{6} \frac{| 3 x - 4 y |}{6}$

469.

Translate to an algebraic expression and simplify:

ⓐ eleven less than negative eight

ⓑ the difference of $−8 −8$ and $−3 −3$ , increased by 5

470.

Dushko has nickels and pennies in his pocket. The number of pennies is seven less than four times the number of nickels. Let $n n$ represent the number of nickels. Write an expression for the number of pennies.

471.

Round $28.1458 28.1458$ to the nearest

ⓐ hundredth ⓑ thousandth

472.

Convert

ⓐ $\frac{5}{11} \frac{5}{11}$ to a decimal ⓑ $1.15 1.15$ to a percent

473.

Locate $\frac{3}{5}, 2.8, and - \frac{5}{2} \frac{3}{5}, 2.8, and - \frac{5}{2}$ on a number line.

In the following exercises, simplify each expression.

474.

$8 + 3 [6 - 3 (5 - 2)] - 4^{2} 8 + 3 [6 - 3 (5 - 2)] - 4^{2}$

475.

$− (4 - 9) - (9 - 5) − (4 - 9) - (9 - 5)$

476.

$56 \div (−8) + (−27) \div (−3) 56 \div (−8) + (−27) \div (−3)$

477.

$16 - 2 | 3 (1 - 4) - (8 - 5) | 16 - 2 | 3 (1 - 4) - (8 - 5) |$

478.

$−5 + 2 {(−3)}^{2} - 9 −5 + 2 {(−3)}^{2} - 9$

479.

$\frac{180}{204} \frac{180}{204}$

480.

$- \frac{7}{18} + \frac{5}{12} - \frac{7}{18} + \frac{5}{12}$

481.

$\frac{4}{5} \div (- \frac{12}{25}) \frac{4}{5} \div (- \frac{12}{25})$

482.

$\frac{9 - 3 \cdot 9}{15 - 9} \frac{9 - 3 \cdot 9}{15 - 9}$

483.

$\frac{4 (−3 + 2 (3 - 6))}{3 (11 - 3 (2 + 3))} \frac{4 (−3 + 2 (3 - 6))}{3 (11 - 3 (2 + 3))}$

484.

$\frac{5}{13} \cdot 47 \cdot \frac{13}{5} \frac{5}{13} \cdot 47 \cdot \frac{13}{5}$

485.

$\frac{- \frac{5}{9}}{\frac{10}{21}} \frac{- \frac{5}{9}}{\frac{10}{21}}$

486.

$−4.8 + (−6.7) −4.8 + (−6.7)$

487.

$34.6 - 100 34.6 - 100$

488.

$−12.04 \cdot (4.2) −12.04 \cdot (4.2)$

489.

$−8 \div 0.05 −8 \div 0.05$

490.

$\sqrt{−121} \sqrt{−121}$

491.

$(\frac{8}{13} + \frac{5}{7}) + \frac{2}{7} (\frac{8}{13} + \frac{5}{7}) + \frac{2}{7}$

492.

$5 x + (−8 y) - 6 x + 3 y 5 x + (−8 y) - 6 x + 3 y$

493.

ⓐ $\frac{0}{9} \frac{0}{9}$ ⓑ $\frac{11}{0} \frac{11}{0}$

494.

$−3 (8 x - 5) −3 (8 x - 5)$

495.

$6 (3 y - 1) - (5 y - 3) 6 (3 y - 1) - (5 y - 3)$