PLEASE HELP ME AS SOON AS POSSIBLE

1.(05.01 LC)The graph below shows a system of equations:

The x-coordinate of the solution to the system of equations is. (5 points)

2.(05.01 LC)Hannah bought x boxes of cereal boxes and y cartons of milk. The number of milk cartons she bought was 2 more than twice the number of cereal boxes she bought. The total number of cereal boxes and milk cartons she bought was 5. Which graph best shows the number of cereal boxes and milk cartons Hannah bought? (5 points)

3.(05.01 MC)The graph of the following system of equations is (5 points)

2x + y = 6

6x + 3y = 18

overlapping linesparallel linesintersecting lines4.(05.02 LC)Given the system of equations presented here:

3x + 5y = 29

x + 4y = 16

Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? (5 points)

Multiply the second equation by 1 to get x 4y = 16Multiply the second equation by 3 to get 3x 12y = 48Multiply the first equation by 1 to get 3x 5y = 29Multiply the first equation by 3 to get 9x 15y = 875.(05.02 LC)Solve the following system: (5 points)

y = x + 3

2x + y = 9

(2, 5)(5, 2)(2, 5)(2, 5)6.(05.02 MC)A system of equations is shown below:

4x = 3y + 17

3x 4y = 6

What is the solution to this system of equations? (5 points)

(2, 3)(3, 2)(2, 3)(3, 2)7.(05.03 LC)Which of the following statementsbestdescribes the graph of x + y = 4? (5 points)

It is a line which intersects the x-axis at (4, 4).It is a line which intersects the y-axis at (4, 4).It is a line joining the points whose x- and y-coordinates add up to 8.It is a line joining the points whose x- and y-coordinates add up to 4.8.(05.03 LC)Determine the solution to f(x) = g(x) using the following system of equations: (5 points)

f(x) = 3x + 12

g(x) = 9.5x 13

x = 2x = 3x = 4x = 59.(05.03 MC)The table below shows some values of f(x) and g(x) for different values of x:

xf(x) = 2x + 24g(x) = 5(0.5)^x22010512.5228Complete the chart and determine the solution of the equation f(x) = g(x). (5 points)

x = 2x = 1x = 1x = 2010.(05.05 LC)Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:

y >x + 2 (5 points)

The origin is not included in the shaded region and the shaded area is above the line.The origin is not included in the shaded region and the shaded area is below the line.The origin is included in the shaded region and the shaded area is above the line.The origin is included in the shaded region and the shaded area is below the line.11.(05.05 MC)Tania has 56 liters of milk. She uses the milk to make muffins and cakes. Each batch of muffin requires 7 liters of milk and each batch of cakes require 4 liters of milk. Let x be the number of batches of muffins and y be the number of batches of cakes that Tania can make. Which of the following graphs best shows all the possible number of batches of muffins and cakes that Tania can make? (5 points)

12.(05.06 MC)The graph below shows the solution to a system of inequalities:

Which of the following inequalities is modeled by the graph? (5 points)

2x + 5y 14; x 02x + 5y 14; x 02x 5y 14; x 02x 5y 14; x 013.(05.06 MC)Bess is trying to solve a puzzle where she has to figure out two numbers, x and y. The sum of twice x and 3 times y is less than 6. Also, y must be greater than 1 less than twice the x. Which graph represents the possible solutions? (5 points)

14.(05.06 LC)A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y 20 to create a system that represents this situation? (5 points)

6x + 4y < 1204x + 6y < 1206x + 4y > 1204x + 6y > 120