Integrated Algebra 22 January 2013 Questions Answer Keys

**The University of the State of New York **Regents High School Examination

Integrated Algebra

Tuesday, January 22, 2013 — 9:15 a.m. to 12:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

**1. The number of hours spent on math homework during one week and the math exam grades for eleven students in Ms. Smith’s algebra class are plotted below.**

Based on the plotted data, what is the correlation between the time spent on homework and the exam grade?

- (1) positive
- (2) negative
- (3) no correlation
- (4) cannot be determined

**2. A car uses one gallon of gasoline for every 20 miles it travels. If a gallon of gasoline costs $3.98, how much will the gas cost, to the nearest dollar, to travel 180 miles?**

- (1) 9
- (2) 36
- (3) 45
- (4) 80

**3. If Angelina’s weekly allowance is d dollars, which expression represents her allowance, in dollars, for x weeks?**

- (1) dx
- (2) 7dx
- (3) x + 7d
- (4)
^{d}/_{x}

**4. What is the solution of the system of equations shown in the graph below?**

- (1) (1,0) and (–3,0)
- (2) (0,–3) and (0,–1)
- (3) (–1,–2)
- (4) (–2,–1)

**5. The solution of the equation 5 – 2x = 4x – 7 is**

- (1) 1
- (2) 2
- (3) –2
- (4) –6

**6. The expression 100n ^{2} – 1 is equivalent to**

- (1) (10n + 1)(10n
**–**1) - (2) (10n
**–**1)(10n**–**1) - (3) (50n + 1)(50n
**–**1) - (4) (50n
**–**1)(50n**–**1)

**7. In right triangle ABC shown below, what is the value of cos A?**

- (1)
^{12}/_{20} - (2)
^{16}/_{20} - (3)
^{20}/_{12} - (4)
^{20}/_{16}

**8. A bag contains five green gumdrops and six red gumdrops. If Kim pulls a green gumdrop out of the bag and eats it, what is the probability that the next gumdrop she pulls out will be red?**

- (1)
^{5}/_{11} - (2)
^{5}/_{10} - (3)
^{6}/_{11} - (4)
^{6}/_{10}

**9. Which graph represents a function?**

**10. The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to find the population after t years?**

- (1) P = 10,000(0.2)
^{t} - (2) P = 10,000(0.8)
^{t} - (3) P = 10,000(1.2)
^{t} - (4) P = 10,000(1.8)
^{t}

**11. Which verbal expression is represented by 2(x + 4)?**

- (1) twice the sum of a number and four
- (2) the sum of two times a number and four
- (3) two times the difference of a number and four
- (4) twice the product of a number and four

**12. How many cubes with 5-inch sides will completely fill a cube that is 10 inches on a side?**

- (1) 50
- (2) 25
- (3) 8
- (4) 4

**13. A school newspaper will survey students about the quality of the school’s lunch program. Which method will create the least biased results?**

- (1) Twenty-five vegetarians are randomly surveyed.
- (2) Twenty-five students are randomly chosen from each grade level.
- (3) Students who dislike the school’s lunch program are chosen to complete the survey.
- (4) A booth is set up in the cafeteria for the students to voluntarily complete the survey.

**14. The vertex of the parabola y = x ^{2} + 8x + 10 lies in Quadrant**

- (1) I
- (2) II
- (3) III
- (4) IV

**15. In the figure below, ABCD is a square and semicircle O has a radius of 6.**

What is the area of the figure?

- (1) 36 + 6π
- (2) 36 + 18π
- (3) 144 + 18π
- (4) 144 + 36π

**16. What is 24x ^{2}y^{6} – 16x^{6}y^{2} + 4xy^{2} divided by 4xy^{2}?**

- (1) 6xy
^{4}– 4x^{5} - (2) 6xy
^{4}– 4x^{5}+ 1 - (3) 6x
^{2}y^{3}– 4x^{6}y - (4) 6x
^{2}y^{3}– 4x^{6}y + 1

**17. Which expression can be used to change 75 kilometers per hour to meters per minute?**

- (1)
^{75 km}/_{1 hr}×^{1 km}/_{1,000 hr}×^{1 hr}/_{60 min} - (2)
^{75 km}/_{1 hr}×^{1 km}/_{1,000 hr}×^{60 min}/_{1 hr} - (3)
^{75 km}/_{1 hr}×^{1,000 m}/_{1 km}×^{1 hr}/_{60 min} - (4)
^{75 km}/_{1 hr}×^{1,000 m}/_{1 km}×^{60 min}/_{1 hr}

**18. The inequality 2 ≤ x ≤ 3 can be written as**

- (1) (–2, 3)
- (2) [–2, 3)
- (3) (–2, 3]
- (4) [–2, 3]

- (1) 2 × 10
^{4} - (2) 2 × 10
^{10} - (3) 2 × 10
^{–4} - (4) 2 × 10
^{–10}

**20. The roots of the equation x ^{2} – 14x + 48 = 0 are**

- (1) –6 and –8
- (2) –6 and 8
- (3) 6 and –8
- (4) 6 and 8

**Integrated Algebra 22 January 2013 Questions Answers Keys**

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