# Mathematics Sample Passages and Items

*Guidelines for Use of Calculators*

**Pre-Algebra (Basic Skills)**

- How much greater is the product of –3, –7, and 5 than their sum?
- –110
- –100
- 90
- 100
- 110

**Pre-Algebra (Application)**

- Mark bought 3 shirts at a clothing store. If he paid a total of $15.00 for 2 shirts and the average (arithmetic mean) cost of the 3 shirts was $8.00, how much did Mark pay for the third shirt?
- $7.00
- $7.67
- $8.50
- $9.00
- $11.50

**Coordinate Geometry (Basic Skills)**

- A straight line in the coordinate plane passes through the points with (
*x*,*y*) coordinates

(–1,1) and (2,3). What are the (*x*,*y*) coordinates of the point at which the line passes through the*y*-axis?

**Intermediate Algebra (Application)**

Items 4–5 are based on the following information.

Astonville currently has a property tax of 2% of the market value of each house. Senator Smith has proposed a change in the property tax. Under this Smith proposal, there would be no tax on a house unless the market value of the house was above $20,000. The tax on a house whose market value was over $20,000 would be 2.5% of the difference between the house's market value and $20,000.

- Sue Miller would pay the same tax on her house under the Smith proposal as under the current plan. What is the market value of her house?
- $ 10,000
- $ 40,000
- $100,000
- $120,000
- $400,000

- What percentage of Senator Smith's constituents would save money under this new tax proposal?
- 25%

- 33

- 50%

- 66
- The answer cannot be determined from the given information.

- 25%

**College Algebra (Basic Skills)**

- If –4
*x*^{2}+ 4*x*+ 3 > 0, then which of the following inequalities must be true?*x*> 0*x*< 0*x*< or*x*>- <
*x*< - <
*x*<

**Trigonometry (Basic Skills)**

- Which of the following is equivalent to for 0 <
*x*< 90^{o}?- sin
*x*+ cos*x* - 2 sin
*x*tan*x* - sec
*x* - cos
*x*

- sin

**Answers:**

1. E. | 2. D. | 3. B. | 4. C. | 5. E. | 6. D. | 7. C. |