1. Solve the following equation. - (x-4) +5 = 8x + 9(1 - x) Is The solution is all real numbers. 2. Write an algebraic equation for the following problem and then solve it. Beth decided to invest $11,000 of her retirement fund conservatively. She invested part of this money into one account that pays 5% simple interest and part into another account that pays 3% simple interest. Last year she earned $470 in interest. How much did she invest in each type of account? Let x = the amount invested at 5% interest. Write an expression that is equal to 470, the amount of interest she earned last year, using the variable x ? = 470 (Use integers or decimals for any numbers in the expression.) The amount invested at 5% interest was $ The amount invested at 3% interest was $ 3. Write an algebraic equation for the following problem and then solve it. Submit quiz The population of a country in 2015 was estimated to be 321.8 million people. This was an increase of 22% from the population in 1990. What was the population of the country in 1990?(approximately in million) 4. Roberto and Maria Santanos spend approximately $10.75 per week to wash and dry their family's clothes at a local coin laundry. A new washer and dryer would cost them a total of $774. How many weeks will it take for the laundromat cost to equal the cost ot a new washer and dryer? 5. Write an algebraic equation for the following problem and then solve it. In a reforestation program, 3680 seedlings were planted. Three times as many oaks as elms were planted. The number of hemlocks planted was 80 more than twice the number of elms. How many of each type of seedling was planted? Let x = the number of elm seedlings. Write an equation, in terms of x, for the 3680 seedlings that were planted ? = 3680 The number of elm seedlings planted ? The number of oak seedlings planted ? The number of hemlock seedlings planted? 6. Allyson can pay for her gym membership on a monthly basis, but if she pays for an entire year's membership in advance, she'll receive a $55 discount. Her discounted bill for the year would then be $497. What is the monthly membership fee at her gym? The monthly membership fee is ? 7. Solve the absolute value equation. +6=12 8. Solve the equation, if possible. |12x/5 - 2|=0 9. Solve for x. 3x -3 = 3 10. Solve for x and graph your solution. 3x -85 - 20