# MATHEMATICS

#### Question 10

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

Select the inequality that corresponds to the given graph.

4x – 3y > – 12 –x + 4y > 4 4x – 2y < – 8 2x + 4y ≥ – 16

#### Question 11

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

The graph of an equation is shown below:

Based on the graph, which of the following represents a solution to the equation?

(–2,–3) (3, 1) (1, 3) (3, 2)

#### Question 12

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

The tables below show the values of f(x) and g(x) for different values of x:

f(x) = 2(3)x

 x f(x) -2 0.22 -1 0.67 0 2 1 6 2 18

g(x) = 3x + 9

 x g(x) -2 9.11 -1 9.33 0 10 1 12 2 18

Based on the tables, what is the solution to the equation 2(3)x = 3x + 9?

x = 0 x = 2 x = 12 x = 18

#### Question 13

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

An equation is shown below:

What is the solution to the equation?

x = –2 x = –1 x = 1 x = 2

#### Question 14

(05.02)<object:standard:macc.912.a–ced.1.3>

Maya had \$27. She spent all the money on buying 3 burgers for \$x each and 2 sandwiches for \$y each. If Maya had bought 2 burgers and 1 sandwich, she would have been left with \$11.

A student concluded that the price of each burger is \$5 and the price of each sandwich is \$6. Which statement best justifies whether the student’s conclusion is correct or incorrect?

The student’s conclusion is correct because the solution to the system of equations 3x + 2y = 11 and 2x + y = 16 is (5, 6). The student’s conclusion is incorrect because the solution to the system of equations 3x – 2y = 11 and 2x – y = 16 is (5, 6). The student’s conclusion is correct because the solution to the system of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6). The student’s conclusion is incorrect because the solution to the system of equations 2x + 3y = 27 and x + 2y = 16 is (5, 6).

#### Question 15

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

Look at the graph below:

Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ –1?

Part A Part B Part C Part D

#### Question 16

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

A graph is shown below:

Which of the following inequalities is best represented by this graph?

5x + y ≤ 2 5x + y ≥ 2 5x – y ≤ 2 5x – y ≥ 2

#### Question 17

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

The graph plots four equations, A, B, C, and D:

Which pair of equations has (0, 8) as its solution?

Equation A and Equation C Equation B and Equation C Equation C and Equation

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