# MATHEMATICS

#### Question 18

(05.03)<object:standard:macc.912.a–rei.4.11>

The graph below shows two functions:

Based on the graph, what are the approximate solutions to the equation –2x + 8 = (0.25)x?

8 and 4 1 and 4 –1.7 and 4 1.7 and –4

#### Question 19

(05.05)<object:standard:macc.912.a–rei.4.12>

Greg made 4 chairs and 3 tables. Greg only has enough plywood to make at most 15 chairs or tables total. Let x represent the number of more chairs and y represent the number of more tables that Greg can make. Which of the following graphs best represents the relationship between x and y?

#### Question 20

(05.02)<object:standard:macc.912.a–rei.3.6>

For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you substitute into the second equation?

-x – 2y = -4

3x + y = 12

-2y – 4 2y – 4 2y + 4 -2y + 4

#### Question 21

(05.05)<object:standard:macc.912.a–rei.4.12>

Sally has only nickels and dimes in her money box. She knows that she has less than \$20 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y?

Draw a dashed line to represent the graph of 5x + 10y = 2000, and shade the portion above the line for positive values of x and y. Draw a dashed line to represent the graph of 10x + 5y = 2000, and shade the portion above the line for positive values of x and y. Draw a dashed line to represent the graph of 5x + 10y = 2000, and shade the portion below the line for positive values of x and y. Draw a dashed line to represent the graph of 10x – 5y = 2000, and shade the portion below the line for positive values of x and y.

#### Question 22

(05.03)<object:standard:macc.912.a–rei.4.10>

Which of the following statements best describes the graph of –5x + 2y = 1?

It is a curve joining the points (–5, 2), (2, 3), and (4, 1). It is a curve joining the points (–1, –3), (–1, –3), and (1, 5). It is a straight line joining the points (1, 3), (3, 8), and (–3, –7). It is a straight line joining the points (4, –3), (–1, 2), and (–4, 5).

#### Question 23

(05.01)<object:standard:macc.912.a–rei.3.6>

A pair of linear equations is shown below:

y = –x + 1

y = 2x + 4

Which of the following statements best explains the steps to solve the pair of equations graphically?

On a graph, plot the line y = –x + 1, which has y-intercept = –1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = –x + 1, which has y-intercept = 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = –x + 1, which has y-intercept = 1 and slope = –1, and y = 2x + 4, which has y-intercept = –2 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = –x + 1, which has y-intercept = 1 and slope = –1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.

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