math

Which linear equations does the graph show the solution to? Select all that apply. A. y = 2x + 13 B. y = -x - 2 C. y = -1/2x+6 D. y = 3x - 5 E. y = -2x - 2

A. y = 2x + 13 B. y = -x - 2

The sum of two numbers is 11. The larger number is 1 less than twice the smaller number. What are the two numbers? Which equations can be used to express the problem as a system of two linear equations in slope-intercept form? Select all that apply. A. y = 1/2x-1 B. y = 2x -1 C. y = x -11 D. y = x + 11 E. y = 11 - x

B. y = 2x -1 E. y = 11 - x

The linear equation is represented by the graphed line. A second linear equation is represented by the data in the table.In which square is the solution located?

D

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50. Let x be the smaller number and y be the larger number. Create a system and graph it to find the solution. What are the two numbers? x = and y =

x = 6 y = 20

A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2x+8 What is the value of the smaller number in the mathematical problem?

3

The graph for the first equation of a system is shown in orange. The second equation is: 3y+30=6x What is the solution to the system? A. (2, -10) B. (1, -8) C. (-2, -14) D. (2, -6)

B. (1, -8)

Which of the following statements are true of the graphed system of equations? Check all that apply. A. The system has infinitely many solutions. B. A solution to the system is (-1, -2). C. A solution to the system is (0, -1). D. One of the equations is y = x -1. E. One of the equations is 3x + y = -5.

B. A solution to the system is (-1, -2). D. One of the equations is y = x -1. E. One of the equations is 3x + y = -5.

Caleb graphed the linear function y = -x + 2 of a system of equations. The other linear function passes through the points (-2, -8) and (1, -2). What is the slope of the linear function that passes through the points (-2, -8) and (1, -2)?-11-2.50.5 What is the y-intercept? -4-2.500.55 Graph the linear function to determine the solution. What is the solution?

Q. 1.) 2 Q. 2.) -4 Q. 3.) (2, 0)

A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. 1. Define the variables: x = smaller number and y = larger number 2. Identify the key words: more than (addition), times (multiplication), is (equals) 3. Write the equations. Which equation represents a larger number that is 2 more than 4 times a smaller number? A. x = 2 + 4y B. x = 4 + 2y C. y = 2 + 4x D. y = 4 + 2x Which equation represents a larger number that is 8 more than 2 times a smaller number? A. x = 8 + 2y B. x = 2 + 8y C. y = 2 + 8x D. y = 8 + 2x

Q. 1.) C. y = 2 + 4x Q. 2.) D. y = 8 + 2x

How is a system of equations created when each linear function is given as a set of two ordered pairs? Explain.

Use the two points of a linear function to write an equation in slope-intercept form by first finding the slope of the function, and then using a point and the slope to determine the y-intercept. Write the equations in slope-intercept form.