Chapter 12

Algebra 1: Concepts and Skills · 626 exercises

Problem 78

Find the domain of the function. Then use several values in the domain to make a table of values for the function. $$ y=\sqrt{x-8} $$

3 step solution

Problem 78

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 6 \frac{1}{2} $$

3 step solution

Problem 78

Find the product. $$(x-5)(x-4)$$

3 step solution

Problem 79

Solve \(x^{2}+8 x-2=0\). A. \(-4 \pm 3 \sqrt{2}\) B. \(-4 \pm 2 \sqrt{2}\) C. \(4 \pm 3 \sqrt{2}\) D. \(4 \pm \sqrt{16}\)

3 step solution

Problem 79

Complete the statement using \(<,>,\) or \(=.\) $$ 40 \% ? 0.35 $$

3 step solution

Problem 79

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 1 \frac{7}{50} $$

3 step solution

Problem 79

Find the product. $$(2 x-3)(5 x-9)$$

3 step solution

Problem 80

Solve the linear system. (Lessons 7.2,7.3) $$ \begin{array}{r} {y=4 x} \\ {x+y=10} \end{array} $$

4 step solution

Problem 80

Complete the statement using \(<,>,\) or \(=.\) $$ 110 \% ? 110 $$

2 step solution

Problem 80

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 8 \frac{1}{6} $$

3 step solution

Problem 80

Find the product. $$(6 x+2)\left(x^{2}-x-1\right)$$

3 step solution

Problem 81

Solve the linear system. (Lessons 7.2,7.3) $$ \begin{aligned} &3 x+y=12\\\ &9 x-y=36 \end{aligned} $$

4 step solution

Problem 81

Complete the statement using \(<,>,\) or \(=.\) $$ 1.8 ? 180 \% $$

2 step solution

Problem 81

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 3 \frac{7}{9} $$

3 step solution

Problem 81

Find the product. $$(2 x-1)\left(x^{2}+x+1\right)$$

3 step solution

Problem 82

Solve the linear system. (Lessons 7.2,7.3) $$ \begin{array}{r} {2 x-y=8} \\ {2 x+2 y=2} \end{array} $$

5 step solution

Problem 82

Complete the statement using \(<,>,\) or \(=.\) $$ 0.22 ? 20 \% $$

3 step solution

Problem 82

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 5 \frac{8}{25} $$

3 step solution

Problem 82

Carved on Mount Rushmore are the faces of four Presidents of the United States: Washington, Jefferson, Roosevelt, and Lincoln. The ratio of each face on the cliff to a scale model is 12 to 1. How tall is Washington’s face on Mount Rushmore if the scale model is 5 feet tall?

3 step solution

Problem 83

Solve the equation. Write the solutions as integers if possible. Otherwise, write them as radical expressions. (Lesson 9.2) $$ 3 x^{2}-147=0 $$

3 step solution

Problem 83

Complete the statement using \(<,>,\) or \(=.\) $$ 200 \% ? 1.0 $$

3 step solution

Problem 83

Write the product in simplest form. $$\frac{8 x}{3} \cdot \frac{1}{x}$$

3 step solution

Problem 84

Solve the equation. Write the solutions as integers if possible. Otherwise, write them as radical expressions. (Lesson 9.2) $$ x^{2}-5=20 $$

3 step solution

Problem 84

Complete the statement using \(<,>,\) or \(=.\) $$ 12 \% ? 1 $$

3 step solution

Problem 84

Write the product in simplest form. $$\frac{8 x^{2}}{3} \cdot \frac{9}{16 x}$$

3 step solution

Problem 85

Solve the equation. Write the solutions as integers if possible. Otherwise, write them as radical expressions. (Lesson 9.2) $$ x^{2}+2=83 $$

3 step solution

Problem 85

Complete the statement using \(<,>,\) or \(=.\) $$ 0.3 ? 33 \% $$

3 step solution

Problem 85

Write the product in simplest form. $$\frac{x}{x+6} \cdot \frac{x+6}{x+1}$$

2 step solution

Problem 86

Solve the equation. Write the solutions as integers if possible. Otherwise, write them as radical expressions. (Lesson 9.2) $$ 9+x^{2}=49 $$

3 step solution

Problem 86

Complete the statement using \(<,>,\) or \(=.\) $$ 0.75 ? 85 \% $$

2 step solution

Problem 86

Find the area of a triangle with the given base and height. $$b=4, h=9$$

3 step solution

Problem 87

Solve the equation. Write the solutions as integers if possible. Otherwise, write them as radical expressions. (Lesson 9.2) $$ x^{2}-16=144 $$

3 step solution

Problem 87

Complete the statement using \(<,>,\) or \(=.\) $$ 1 \% ? 0.1 $$

3 step solution

Problem 87

Find the area of a triangle with the given base and height. $$b=1, h=1$$

3 step solution

Problem 88

Solve the equation. Write the solutions as integers if possible. Otherwise, write them as radical expressions. (Lesson 9.2) $$ x^{2}+64=169 $$

3 step solution

Problem 88

Complete the statement using \(<,>,\) or \(=.\) $$ 5 \% ? 0.5 $$

2 step solution

Problem 88

Find the area of a triangle with the given base and height. $$b=12, h=9$$

3 step solution

Problem 89

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. (Lesson 9.5) $$ x^{2}+x+2=0 $$

4 step solution

Problem 89

Complete the statement using \(<,>,\) or \(=.\) $$ 1.5 ? 150 \% $$

2 step solution

Problem 89

Find the area of a triangle with the given base and height. $$b=6, h=8$$

3 step solution

Problem 90

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. (Lesson 9.5) $$ -3 x^{2}-x-4=0 $$

5 step solution

Problem 90

Complete the statement using \(<,>,\) or \(=.\) $$ 0.9 ? 89 \% $$

2 step solution

Problem 90

Find the area of a triangle with the given base and height. $$b=8, h=3$$

3 step solution

Problem 91

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. (Lesson 9.5) $$ 2 x^{2}-3 x+4=0 $$

3 step solution

Problem 91

Complete the statement using \(<,>,\) or \(=.\) $$ 101 \% ? 1.1 $$

3 step solution

Problem 91

Find the area of a triangle with the given base and height. $$91 . b=10 . h=7$$

3 step solution

Problem 92

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. (Lesson 9.5) $$ x^{2}-x-12=0 $$

3 step solution

Problem 92

Complete the statement using \(<,>,\) or \(=.\) $$ 20 \% ? 0.25 $$

2 step solution

Problem 92

Find the area of a triangle with the given base and height. $$b=0.75, h=4$$

3 step solution

Problem 93

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. (Lesson 9.5) $$ x^{2}-2 x-3=0 $$

3 step solution

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