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Algebra Questions

Explore questions in the Algebra category that you can ask Spark.E!

Given the following formula, solve for l.P = 2(l + b)

What value of x makes this equation true?-2x + 3 = -15x =____________

What is this expression in simplified form?(√22)(5√2)

The given equation has been solved in the table.Step Statement1 2/3x - 9 = -132 2/3x - 9 + 9 = -13 + 93 2/3x = -44 3/2 ⋅ 2/3x = 3/2 ⋅ (-4)5 x = -6In which step was the addition property of equality applied?

A weather historian gathered data about the average temperature and total snowfall in her city during the month of January in recent years. The scatter plot shows the data she gathered and the line of best fit.The equation of the line of best fit is y = -0.368x + 18.483.Based on the line of best fit, approximately how many inches of snow fall during the month of January when the average temperature is 2°F?

Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.What inequality is shown in the graph?

Let b(t) be the number of unread books remaining on Alex's bookshelf after reading consistently for t months.b(t) = 75 - 5tSo, b(9) =____________.This means that______________________;The___________________.

What is the equation of the line that goes through the points (-5,-1) and (5,5)?

Find the solution for this system of equations.2x − 3y = 2 x = 6y − 5x =______________y =______________

Two linear functions, f and g, are graphed below, where function g is a transformation of function f.Which rule shows the transformation of function f?

Which phrase best describes the relationship indicated by the scatter plot?

What is the slope of the line that goes through the points (-1,4) and (14,-2)?

Joe plans to put a swing set inside a sand box he is building in his yard. He needs the sandbox to be 5 feet longer than twice the width for safety purposes. Joe has 220 feet of material that he will use for the perimeter of the sandbox. If l is the length of the sandbox and w is the width, which system of equations represents this situation?

East High School scored a total of 71 points in their final basketball game of the season. The team successfully made a total of 32 baskets. The score was composed of two-point baskets and three-point baskets.The following system of equations can be used to model the number of two-point baskets, x, and the number of three-point baskets, y, that were made during the game.2x + 3y = 71 x + y = 32First, determine the point on the graph that represents the solution to the system of equations. Notice that one of the equations in the system has already been graphed.Then, determine the number of two-point baskets and three-point baskets that are made during the final basketball game of the season.

The owner of a sporting goods store gathered data about the numbers of men's, women's and children's bicycles sold each month. She used a graphing tool to organize the data in different scatter plots and found these lines of best fit:●The relationship between the numbers of men's, x, and women's, y, bicycles sold is modeled by the equation y = 0.95x + 0.83, and the correlation coefficient for the data is 0.791.●The relationship between the numbers of men's, x, and children's, y, bicycles sold is modeled by the equation y = 0.87x + 0.98, and the correlation coefficient for the data is 0.564.●The relationship between the numbers of children's, x, and women's, y, bicycles sold is modeled by the equation y = 0.73x + 0.91, and the correlation coefficient for the data is 0.945.Which line of best fit can the store owner expect to produce the most reliable predictions?

Find the solution to the system of equations given below using linear combinations.5x + 2y = -386x + 10y = -19

If it costs Susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours, how much will it cost for her to rent a truck for her entire 8-hour work day?

Which graph represents this inequality?y ≥ 4x − 3

Which equation represents the vertical line passing through (14,-16)?

Which equation represents the line that is perpendicular to y = 3/2x + 1 and passes through (-12,6)?

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