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Solving Linear Equations: Variable on One Side:
Assignment Test/ Contains 16 Solved
Questions.
Seventy of Myra's classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van. The equation 2b + 6 = 70 represents the given scenario. What does b represent? - Answer: C. the number of students who rode on each bus Stefan's family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $
with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee? If h represents the hourly fee, which equation models this problem? What was the hourly fee for the rototiller? - Answer: 1. 7h+43=
- $ Lorena solved the equation 5k - 3(2k-2/3)-9=0. Her steps are below. 5k - 6k + 2 - 9 = 0 -k - 7 = 0 -k = 7 k=1/ Analyze Lorena's work to determine which statements are correct. Check all that apply. - Answer: 1. In Step 1, she correctly distributed - to the parentheses.
- In Step 4, she should have multiplied both sides by-1 to isolate the variable. This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he charged the new subscribers $3 less than the repeat customers. If x represents the amount Michael collects from each repeat customer, which equation models this problem?
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to: 300x+500/7y= If y = 87.5, what is the value for x? 300x +500/7 y = 10, 300x+500/7(87.5)=10, 300x+6,250=10,000 - Answer: x=12. The types of problems found on ancient papyri, books, and tablets focuses primarily on problems that relate to daily life. The solution methods for many ancient cultures are generally verbal, with mathematical statements written out in words. Why did most ancient cultures primarily write out their mathematical texts in words? - Answer: Sample Answer: Most ancient societies had symbols to represent numbers, but they did not have symbols to represent operations or unknown quantities. Thus, the problems and solutions to the problems had to be written in word form.
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? - Answer: x=- If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true. - Answer: x=2/ Noah started to solve the equation -4.6p - 6.3p + 3.9 = -9.18 below. Combine like terms: -10.9p + 3.9 = -9. Apply the next steps to solve the equation. What is the solution? - Answer: p=1. Determine which statements are true. Check all that apply. - Answer: 1. h(x) has a constant output of -2.50.
- g(x) is greater than -2.50 for x values less than -1.
- The input value for which g(x) = h(x) is between -1 and 0. Use the graph to determine the input value for which f(x) = g(x) is true. - Answer: C. x=1. Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level. 7h-5(3h-8)=-
