Chapter 1.1, Problem 6QR

18. Faye reads 9 pages per minute. Which equation best represents how many pages, p, she can read in m minutes? (TEKS 6.6C, RS, RC2) F. p = 9m G. m = 9p H. m = p + 9 J. p = m + 9

ldentify if the equations are valid or invalid, please show work.

21. Complete the table. y = 2 -6x +5 2. 4.

6. One side of an equilateral triangle is 2x + 15. The triangle has the same perimeter as á rectangle with a perimeter of 12x +9. Write an equation to model the problem. Solve. X= Cr 7. The sum of 3 consecutive odd integers is -105. Write an equation to model the situation. Find the THREE integers. 8. There are two internet providers in Camden. Charter offers internet for a set up fee of $100 and then you pay $65 each month. Benton County Cable offers internet for $200 set up fee but, then you only pay $50 each month. Write an equation that would find the number of months when the two companies would cost the same amount. 9. Ben and his friends are going to the movies. While at the movies, they purchased x buckets of popcom. The number of drinks they purchased was twice as many as the number of popcorns. The number of candies that they purchased was two more than the number of popcorns. Altogether, they purchased 18 items. Write and solve an equation to model the situation. 10. Amber…

58. Tourism spending The global spending on travel and tourism (in billions of dollars) can be described by the equation y = -1.572x² + 53.72x + 20.94 where x equals the number of years past 1985 (Source: World Tourism Organization). Find the year in which spending is projected to reach $479.9 billion.

II. IDENTIFICATION. CIRLE 1. What is the center and radius of the equation x² + y² = 36? 2. What is the center and radius of the equation x² + y² − 8x + 10y + 25 = 0? 3. What is the center and radius of the equation x² + y² + 2x + 12y + 1 = 0? What is the center and radius of the equation x² + y² + 18x − 14y - 25 = 0? 4. 5. What is the center and radius of the equation 2x² + 2y² - 20x + 4y +50=0? 6. Compute for the standard equation of a circle whose center is located at c(0,0) and r=5. 7. Compute for the standard equation of a circle whose center is located at c(2,-3) and r=4. 8. Compute for the standard equation of a circle whose center is located at c(-3, -7) and r=7. 9. Compute for the standard equation of a circle whose center is located at c(5,7) and r=√10. 10. Compute for the standard equation of a circle whose center is located at c(1/2, −3/2) and F√15. =

4. Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning. 11 6x + 11 = 21 21

Provide a reason for the answer.

The teacher has 5 cups of broth to share among the 4 students. How much broth will each student get? Draw a model to explain your answer. a. b. Will each student get more than or less than 1 cup of broth? Explain. More