Chapter 9

Algebra 1: Concepts and Skills · 650 exercises

Problem 93

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{12}{16} $$

3 step solution

Problem 93

If \(a^{2}=36\) and \(b^{2}=49,\) choose the greatest possible value for the expression \(b-a\) f. -13 g. -1 h. 1 j. 13

3 step solution

Problem 93

Use a table to graph the equation. $$ x+y=-4 $$

3 step solution

Problem 94

Solve the inequality. Then graph the solution. (Lesson 6.2) $$\frac{3}{4} x>12$$

3 step solution

Problem 94

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{28}{35} $$

3 step solution

Problem 94

Graph the linear system and estimate a solution. Then check your solution algebraically. $$ \begin{aligned} &y=-3\\\ &x=4 \end{aligned} $$

4 step solution

Problem 94

Use a table to graph the equation. $$ y=3 x-1 $$

4 step solution

Problem 95

There were about \(1.4 \times 10^{7}\) people who visited Golden Gate Recreation Area in California in 1996. Find the average number of visitors per month.

3 step solution

Problem 95

Graph the linear system and estimate a solution. Then check your solution algebraically. $$ \begin{aligned} 2 x-4 y &=12 \\ y &=-2 \end{aligned} $$

4 step solution

Problem 95

Use a table to graph the equation. $$ 2 x+y=6 $$

3 step solution

Problem 96

Complete the statement using <, >, or . (Skills Review pp. 770, 771) $$\frac{8}{15} ? \frac{2}{15}$$

2 step solution

Problem 96

Graph the linear system and estimate a solution. Then check your solution algebraically. $$ \begin{array}{r} {2 x-y=10} \\ {x+y=5} \end{array} $$

4 step solution

Problem 96

Simplify the expression. $$ (5 \cdot 2)^{5} $$

3 step solution

Problem 97

Complete the statement using <, >, or . (Skills Review pp. 770, 771) $$\frac{2}{3} ? \frac{5}{6}$$

3 step solution

Problem 97

The admission price for a high school basketball game is \(\$2\) for students and \(\$3\) for adults. At one game, 324 tickets were sold and \(\$764\) was collected. How many students and adults attended the game?

3 step solution

Problem 97

Simplify the expression. $$ (3 x)^{4} $$

3 step solution

Problem 98

Complete the statement using <, >, or . (Skills Review pp. 770, 771) $$\frac{1}{4} ? \frac{1}{5}$$

3 step solution

Problem 98

You are buying a combination of irises and lilies for a flower arrangement. The irises are \(\$4\) each and the lilies are \(\$3\) each. You spend \(\$50\) for an arrangement of 15 flowers. How many of each type of flower did you buy?

4 step solution

Problem 98

Simplify the expression. $$ (-5 x)^{3} $$

3 step solution

Problem 99

Complete the statement using <, >, or . (Skills Review pp. 770, 771) $$\frac{7}{8} ? \frac{11}{12}$$

3 step solution

Problem 99

Use linear combinations to solve the system of linear equations. $$ \begin{aligned} &10 x-3 y=17\\\ &-7 x+y=9 \end{aligned} $$

4 step solution

Problem 99

Simplify the expression. $$ (-3 \cdot 4)^{2} $$

2 step solution

Problem 100

Complete the statement using <, >, or . (Skills Review pp. 770, 771) $$4 \frac{1}{8} ? 4 \frac{1}{5}$$

3 step solution

Problem 100

Use linear combinations to solve the system of linear equations. $$ \begin{aligned} 12 x-4 y &=-32 \\ x+3 y &=4 \end{aligned} $$

4 step solution

Problem 100

Simplify the expression. $$ (a b)^{6} $$

2 step solution

Problem 101

Complete the statement using <, >, or . (Skills Review pp. 770, 771) $$2 \frac{2}{3} ? 3 \frac{1}{2}$$

3 step solution

Problem 101

Use linear combinations to solve the system of linear equations. $$ \begin{array}{c} {8 x-5 y=70} \\ {2 x+y=4} \end{array} $$

5 step solution

Problem 101

Simplify the expression. $$ (8 x y)^{2} $$

2 step solution

Problem 102

Write the fraction as a terminating or repeating decimal. $$ \frac{3}{4} $$

3 step solution

Problem 102

Simplify the expression. $$ (-3 m n)^{4} $$

3 step solution

Problem 103

Write the fraction as a terminating or repeating decimal. $$ \frac{8}{15} $$

2 step solution

Problem 103

Simplify the expression. $$ (-a b c)^{3} $$

3 step solution

Problem 104

Write the fraction as a terminating or repeating decimal. $$ \frac{6}{11} $$

2 step solution

Problem 105

Write the fraction as a terminating or repeating decimal. $$ \frac{7}{8} $$

4 step solution

Problem 106

Write the fraction as a terminating or repeating decimal. $$ \frac{2}{9} $$

3 step solution

Problem 106

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{1}{2} \div 4 $$

4 step solution

Problem 107

Write the fraction as a terminating or repeating decimal. $$ \frac{5}{16} $$

3 step solution

Problem 107

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{3}{4} \div 3 $$

4 step solution

Problem 108

Write the fraction as a terminating or repeating decimal. $$ \frac{5}{6} $$

3 step solution

Problem 108

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{7}{8} \div \frac{3}{4} $$

5 step solution

Problem 109

Write the fraction as a terminating or repeating decimal. $$ \frac{2}{5} $$

3 step solution

Problem 109

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{1}{5} \div \frac{8}{15} $$

5 step solution

Problem 110

Write the fraction as a terminating or repeating decimal. $$ \frac{5}{8} $$

3 step solution

Problem 110

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{4}{5} \div 10 $$

3 step solution

Problem 111

Write the fraction as a terminating or repeating decimal. $$ \frac{8}{9} $$

3 step solution

Problem 111

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{2}{3} \div 63 $$

4 step solution

Problem 112

Write the fraction as a terminating or repeating decimal. $$ \frac{3}{5} $$

3 step solution

Problem 112

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{5}{6} \div \frac{1}{5} $$

4 step solution

Problem 113

Write the fraction as a terminating or repeating decimal. $$ \frac{9}{10} $$

2 step solution

Problem 113

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{7}{10} \div 7 $$

4 step solution

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