You will have **25 minutes** to complete **20 questions** in this portion exam from the moment you click the **start button**.

- The use of calculators
**is NOT permitted** - All variables and expressions used represent real numbers unless otherwise indicated.
- Figures provided in this test are drawn to scale unless otherwise indicated.
- All figures lie in a plane unless otherwise indicated.
- Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f(x) is a real number.

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- Question 1 of 20
##### 1. Question

**Math Test**–**No Calculator****25 MINUTES**,**20 QUESTIONS**For questions 1-15, solve each problem, choose the best answer from the choices

provided, and fill in the corresponding circle on your answer sheet. For questions 16-20,

solve the problem and enter your answer in the grid on the answer sheet. Please refer to

the directions before question 16 on how to enter your answers in the grid. You may use

any available space in your test booklet for scratch work.1.

**The use of a calculator is not permitted**.

2. All variables and expressions used represent real numbers unless otherwise indicated.

3. Figures provided in this test are drawn to scale unless otherwise indicated.

4. All figures lie in a plane unless otherwise indicated.

5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for

which f(x) is a real number.**1.**3*x*+*x*+*x*+*x*– 3 – 2 = 7 +*x*+*x*In the equation above, what is the value of x ?

CorrectIncorrect - Question 2 of 20
##### 2. Question

**2.**The graph above shows the distance traveled

*d*, in feet, by a product on a conveyor belt*m*minutes after the product is placed on the belt. Which of the following equations correctly relates*d*and*m*?CorrectIncorrect - Question 3 of 20
##### 3. Question

**3.**The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.Which of the following correctly gives P in terms of E, O, and M ?

CorrectIncorrect - Question 4 of 20
##### 4. Question

**4.**In the figure above, RT = TU. What is the value of x ?

CorrectIncorrect - Question 5 of 20
##### 5. Question

**5.**The width of a rectangular dance floor is*w*feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of*w*?CorrectIncorrect - Question 6 of 20
##### 6. Question

**6.**y > 2x + 1

2x > 5Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

CorrectIncorrect - Question 7 of 20
##### 7. Question

**7.**What is the solution set of the equation above?

CorrectIncorrect - Question 8 of 20
##### 8. Question

**8.**f(x) = x³ – 9x

g(x) = x² – 2x – 3Which of the following expressions is equivalent to

f(x) / g(x), for x > 3

CorrectIncorrect - Question 9 of 20
##### 9. Question

**9.**(x – 6)² + (y + 5)² = 16In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, −5). If PQ is a diameter of the circle, what are the coordinates of point Q ?

CorrectIncorrect - Question 10 of 20
##### 10. Question

**10.**A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?CorrectIncorrect - Question 11 of 20
##### 11. Question

**11.**Which of the following could be the equation of the graph above?

CorrectIncorrect - Question 12 of 20
##### 12. Question

**12.**If ((2a)/b) = (1/2), what is that value of b/a?CorrectIncorrect - Question 13 of 20
##### 13. Question

**13.**Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions*f*best models the production, in millions of barrels,*t*years after the year 2000?CorrectIncorrect - Question 14 of 20
##### 14. Question

**14.**y = x² + 3x – 7

y – 5x + 8 = 0How many solutions are there to the system of equations above?

CorrectIncorrect - Question 15 of 20
##### 15. Question

**15.**g(x) = 2x – 1

h(x) = 1 – g(x)The functions

*g*and*h*are defined above. What is the value of*h*(0) ?CorrectIncorrect - Question 16 of 20
##### 16. Question

**Directions:**For questions 16-20, solve the problem and enter your answer in the blank space below.**16.**x² + x − 12 = 0If a is a solution of the equation above and a > 0, what is the value of a ?

a =

CorrectIncorrect - Question 17 of 20
##### 17. Question

**17.**The sum of −2x² + x + 31 and 3x² + 7x − 8 can be written in the form ax² + bx + c, where a, b, and c are constants. What is the value of a + b + c ?a + b + c =

CorrectIncorrect - Question 18 of 20
##### 18. Question

**18.**-x + y = -3.5

x + 3y = 9.5If (x, y) satisfies the system of equations above, what is the value of y ?

y =

CorrectIncorrect - Question 19 of 20
##### 19. Question

**19.**A start-up company opened with 8 employees. The company’s growth plan assumes that 2 new employees will be hired each quarter (every 3 months) for the first 5 years. If an equation is written in the form*y = ax + b*to represent the number of employees, y, employed by the company*x*quarters after the company opened, what is the value of*b*?b =

CorrectIncorrect - Question 20 of 20
##### 20. Question

**20.**In the circle above, point A is the center and the length of arc BC is 2/5 of the circumference of the circle. What is the value of x ?

x =

CorrectIncorrect