### Descriptive Statements:

- Demonstrate knowledge of relations and functions and their applications.
- Perform operations with functions, including compositions and inverses.
- Analyze characteristics of functions.
- Interpret different representations of functions.

### Sample Item:

### Descriptive Statements:

- Analyze the relationship between a linear, quadratic, or higher-order polynomial function and its graph.
- Solve linear and quadratic equations and inequalities using a variety of methods.
- Solve systems of linear equations or inequalities using a variety of methods.
- Solve higher-order polynomial equations and inequalities in one and two variables.
- Analyze the characteristics of linear, quadratic, and higher-order polynomial equations.
- Analyze real-world problems involving linear, quadratic, and higher-order polynomial functions.

### Sample Item:

| Order 1 | Order 2 | Order 3 |

soft drink | 4 | 6 | 3 |

large pizza | 1 | 2 | 1 |

garlic bread | 1 | 1 | 0 |

Total Cost | $19.62 | $34.95 | $16.50 |

Given the table of orders and total costs above, and that there is a solution to the problem, which of the following matrix equations could be used to find *d*, *p*, and *g*, the individual prices for a soft drink, a large pizza, and garlic bread respectively?

Correct Response and Explanation (ShowHide)

**D. ** This question requires the examinee to solve systems of linear equations or inequalities using a variety of methods. The system of linear equations can be solved using matrices. Each order can be expressed as an equation, with all three equations written with the variables in the same sequence. The first order is represented by the equation 4*d* + *p* + *g* = 19.62, the second order by 6*d* + 2*p* + *g* = 34.95, and the
third order by 3*d* + *p* = 16.50. The rows of the left-hand matrix contain the coefficients of *d*, *p*, and *g* for each equation: (4 1 1), (6 2 1), and (3 1 0). The middle matrix contains the variables, *d*, *p*, *g*. The right-hand matrix vertically arranges the constants of the equations.

### Descriptive Statements:

- Apply the laws of exponents and logarithms.
- Analyze the relationship between exponential and logarithmic functions.
- Analyze exponential and logarithmic functions and their graphs.
- Analyze real-world problems involving exponential and logarithmic functions.

### Sample Item:

### Descriptive Statements:

- Manipulate rational, radical, and absolute value expressions, equations, and inequalities.
- Analyze the relationship between a rational, radical, absolute value, or piece-wise defined function and its graph.
- Analyze rational, radical, absolute value, and piece-wise defined functions in terms of domain, range, and asymptotes.
- Analyze real-world problems involving rational, radical, absolute value, and piece-wise defined functions.

### Sample Item: