(Solved): help with front and back 1-5 Additional Practice Solving Equations and Inequalities by Graphing Use ...

1-5 Additional Practice Solving Equations and Inequalities by Graphing Use a graph to solve each equation. 1. \( 4 x+6=8 x-1 \) 3. \( |4-2 x|+5=9 \) Use a graph to solve each inequality. 4. \( x^{2}+4 x-5<0 \) 5. \( x^{2}-x-12 \geq 0 \) 6. \( -2 x+5<-7-3 x \) Use a graph and a table to solve the equation. Round to the nearest thousandth if necessary. 7. \( x^{2}+3 x-5=4 x+3 \) 8. \( x^{2}-7 x-5=\frac{1}{2} x-4 \) 9. \( x^{2}-4 x-1=x^{2}+2 x+4 \) Use graphing technology to approximate the solutions of the equation to the nearest tenth. 11. \( x^{2}+5 x-2= \) \( 6+|3 x+1| \) 12. \( 3+|x-3|= \) \( \frac{1}{3}|x+2|+5 \) 13. David begins the summer with a savings of \( \$ 54.00 \) more than Fatima. David's job pays \( \$ 8.25 \) per hour. Fatima's job pays \( \$ 9.75 \). If they both work the same amount of time each day, how many hours of work will it take David to have as much \( \mathrm{~ m o n e y ~ a s ~ F a t i m a ? ~ W r i t e ~ a n ~ i n e q u a l i t y ~ a n d ~ t h e n ~ s o} \) 14. If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Are the following sequences arithmetic? If 50, what is the common difference? What is the next term in the sequence? 1. \( 0,-3,-6,-9 \ldots \) 2. \( 2,3,5,8, \ldots \ldots \) 3. \( 127,140,153,166 \ldots \) Translate between the recursive and explicit definitions for each sequence. 4. \( a_{n}\left\{\begin{array}{r}6, n=1 \\ a_{n-1}+3, n>1\end{array}\right. \) 5. \( a_{n}=12-2(n-1) \) 6. \( a_{n}=5-4(n-1) \) 7. Each year, a volunteer organization expects to add 5 more people for whom. the group provides home maintenance services. This year, the organization provides the service for 32 people. a. Write an explicit formula for the number of people the organization expects to serve each year. b. How many people would the organization expect to serve during the year, 20 years from now? Find the sum of an arithmetic series with the given number of terms, \( a_{1} \) and \( a_{n^{*}} \) 8. 9 terms; \( 2,5,8,11 \ldots \) 9. 12 terms; \( -2,2,6 \), 10. 20 terms; \( 5,10,15 \), \( 10, \ldots \) \( 20, \ldots \) Find the sum of each of the following series. 11. \( \sum_{n=2}^{5}(5 n+3) \) 12. \( \sum_{n=1}^{4}(2 n+0.5) \) 13. \( \sum_{n=1}^{4}(-n-3) \) 14. A marching band formation consists of 6 rows. The first row has 9 musicians, the second has 11, the third has 13 and so on. How many musicians are in the last. row and how many musicians are there in all? 15. A student identifies the series \( 10,15,20,25,30 \) as an infinite arithmetic series. Is. he correct? Explain.