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