Chapter 11

Algebra 1: Concepts and Skills · 506 exercises

Problem 71

Evaluate the expression. \(5^{2} \cdot 5^{1}\)

3 step solution

Problem 71

Find the sum. $$ 0.01+0.01 $$

2 step solution

Problem 72

List the next three numbers suggested by the sequence. (Skills Review pp. 781) $$ 1,3,6,10, ?, ?, ? $$

3 step solution

Problem 72

Write the equation in standard form. $$ 12 x=x^{2}+25 $$

2 step solution

Problem 72

Add or subtract the polynomials. (Lesson 10.1) $$\left(4 t^{2}+5 t+2\right)-\left(t^{2}-3 t-8\right)$$

3 step solution

Problem 72

Simplify the radical expression. \(\sqrt{50}\)

4 step solution

Problem 72

Find the sum. $$100.02+10$$

3 step solution

Problem 73

List the next three numbers suggested by the sequence. (Skills Review pp. 781) $$ 60,57,53,48, ?, ? ,? $$

3 step solution

Problem 73

Write the equation in standard form. $$ 7-12 x^{2}=5 x $$

3 step solution

Problem 73

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$0.35+\frac{1}{2}$$

2 step solution

Problem 73

Simplify the radical expression. \(\sqrt{72}\)

3 step solution

Problem 74

List the next three numbers suggested by the sequence. (Skills Review pp. 781) $$ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, ?, ?, ? $$

3 step solution

Problem 74

Write the equation in standard form. $$ 8=5 x^{2}-4 x $$

3 step solution

Problem 74

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$0.58+\frac{2}{5}$$

2 step solution

Problem 74

Simplify the radical expression. \(\frac{1}{4} \sqrt{112}\)

4 step solution

Problem 75

A contestant on a television game show must guess the price of a trip within \(\$1000\) of the actual price in order to win. The actual price of the trip is \(\$8500\). Write an absolute-value inequality that shows the range of possible guesses that will win the trip.

3 step solution

Problem 75

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$0.99+\frac{3}{4}$$

2 step solution

Problem 75

Simplify the radical expression. \(\frac{1}{2} \sqrt{52}\)

3 step solution

Problem 76

List the next three numbers suggested by the sequence. (Skills Review pp. 781) $$ 100,81,64,49, ?, ?, ? $$

3 step solution

Problem 76

Write the fraction as a decimal rounded to the nearest thousandth. $$ \frac{47}{99} $$

3 step solution

Problem 76

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$0.06+\frac{1}{8}$$

2 step solution

Problem 76

Simplify the radical expression. \(\sqrt{128}\)

2 step solution

Problem 77

Write the fraction as a decimal rounded to the nearest thousandth. $$ \frac{63}{200} $$

2 step solution

Problem 77

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$\frac{7}{8}+0.25$$

2 step solution

Problem 77

Simplify the radical expression. \(\frac{1}{4} \sqrt{90}\)

3 step solution

Problem 78

Write the fraction as a decimal rounded to the nearest thousandth. $$ \frac{32}{155} $$

3 step solution

Problem 78

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$\frac{3}{5}+0.4$$

3 step solution

Problem 78

Simplify the radical expression. \(3 \sqrt{63}\)

3 step solution

Problem 79

Write the fraction as a decimal rounded to the nearest thousandth. $$ \frac{59}{199} $$

3 step solution

Problem 79

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$\frac{12}{12}+0.12$$

2 step solution

Problem 79

Simplify the radical expression. \(\frac{7}{8} \sqrt{153}\)

3 step solution

Problem 80

Write the fraction as a decimal rounded to the nearest thousandth. $$ -\frac{115}{144} $$

2 step solution

Problem 80

Add. Write the answer as a decimal. (Skills Review pp. 759, 767) $$\frac{3}{10}+0.45$$

2 step solution

Problem 80

Simplify the radical expression. \(\frac{2}{3} \sqrt{18}\)

3 step solution

Problem 81

Write the fraction as a decimal rounded to the nearest thousandth. $$ -\frac{63}{89} $$

3 step solution

Problem 81

Simplify the radical expression. \(\sqrt{27}\)

3 step solution

Problem 82

Write the fraction as a decimal rounded to the nearest thousandth. $$ -\frac{12}{43} $$

3 step solution

Problem 82

Simplify the radical expression. \(\frac{1}{5} \sqrt{500}\)

3 step solution

Problem 83

Write the fraction as a decimal rounded to the nearest thousandth. $$ -\frac{79}{145} $$

2 step solution

Problem 83

Simplify the radical expression. \(\frac{3}{7} \sqrt{147}\)

3 step solution

Problem 84

Write the fraction as a decimal rounded to the nearest thousandth. $$ -\frac{23}{25} $$

3 step solution

Problem 84

Evaluate the expression. Write the answer as a fraction or mixed number in simplest form. \(\frac{2}{3}+\frac{1}{6}-\frac{1}{3}\)

4 step solution

Problem 85

Write the fraction as a decimal rounded to the nearest thousandth. $$ \frac{8}{77} $$

2 step solution

Problem 85

Evaluate the expression. Write the answer as a fraction or mixed number in simplest form. \(\frac{3}{4}+\frac{5}{8}-\frac{1}{2}\)

4 step solution

Problem 86

Write the fraction as a decimal rounded to the nearest thousandth. $$ \frac{12}{7} $$

2 step solution

Problem 86

Evaluate the expression. Write the answer as a fraction or mixed number in simplest form. \(\frac{2}{5}+\frac{3}{8}-\frac{1}{4}\)

4 step solution

Problem 87

Write the fraction as a decimal rounded to the nearest thousandth. $$ -\frac{18}{35} $$

2 step solution

Problem 87

Evaluate the expression. Write the answer as a fraction or mixed number in simplest form. \(\frac{2}{9}-\frac{1}{3}+\frac{4}{5}\)

4 step solution

Problem 88

Evaluate the expression. Write the answer as a fraction or mixed number in simplest form. \(\frac{1}{10}+\frac{1}{5}-\frac{3}{10}+\frac{2}{5}\)

5 step solution

Problem 89

Evaluate the expression. Write the answer as a fraction or mixed number in simplest form. \(\frac{1}{4}+\frac{2}{4}-\frac{3}{4}+\frac{4}{4}\)

3 step solution

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