Integrated Algebra 24 January 2012 Questions Answer Keys

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

Integrated Algebra

Tuesday, January 24, 2012 — 9:15 a.m. to 12:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

**1. Which expression is equivalent to 64 – x ^{2}?**

- (1) (8 – x)(8 – x)
- (2) (8 – x)(8 + x)
- (3) (x – 8)(x – 8)
- (4) (x – 8)(x + 8)

**2. Mr. Smith invested $2,500 in a savings account that earns 3% interest compounded annually. He made no additional deposits or withdrawals. Which expression can be used to determine the number of dollars in this account at the end of 4 years?**

- (1) 2500(1 + 0.03)
^{4} - (2) 2500(1 + 0.3)
^{4} - (3) 2500(1 + 0.04)
^{3} - (4) 2500(1 + 0.4)
^{3}

**3. What is 2√45 expressed in simplest radical form?**

- (1) 3√5
- (2) 5√5
- (3) 6√5
- (4) 18√5

**4. Which graph does not represent a function?**

**5. Timmy bought a skateboard and two helmets for a total of d dollars. If each helmet cost h dollars, the cost of the skateboard could be represented by**

- (1) 2
*dh* - (2)
^{Dh}/_{2} - (3) d – 2h
- (4) d –
^{h}/_{2}

**6. The graph of y = |x + 2| is shown below**

Which graph represents y = – |x + 2|

**7. Two equations were graphed on the set of axes below.**

Which point is a solution of the system of equations shown on the graph?

- (1) (8,9)
- (2) (5,0)
- (3) (0,3)
- (4) (2,–3)

**8. Byron is 3 years older than Doug. The product of their ages is 40. How old is Doug?**

- (1) 10
- (2) 8
- (3) 5
- (4) 4

**9. The actual dimensions of a rectangle are 2.6 cm by 6.9 cm. Andy measures the sides as 2.5 cm by 6.8 cm. In calculating the area, what is the relative error, to the nearest thousandth?**

- (1) 0.055
- (2) 0.052
- (3) 0.022
- (4) 0.021

**10. Which graph represents the inequality y > 3?**

**11. Which set of data can be classified as quantitative?**

- (1) first names of students in a chess club
- (2) ages of students in a government class
- (3) hair colors of students in a debate club
- (4) favorite sports of students in a gym class

**12. Three fair coins are tossed. What is the probability that two heads and one tail appear?**

- (1)
^{1}/_{8} - (2)
^{3}/_{8} - (3)
^{3}/_{6} - (4)
^{2}/_{3}

**13. What is the sum of – 3x ^{2} – 7x + 9 and – 5x^{2} + 6x – 4?**

- (1) – 8x
^{2}– x + 5 - (2) – 8x
^{4}– x + 5 - (3) – 8x
^{2}– 13x + 13 - (4) – 8x
^{4}– 13x^{2}+ 13

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

**15. What is the slope of the line that passes through the points (2, –3) and (5,1)?**

- (1) –
^{2}/_{3} - (2)
^{2}/_{3} - (3) –
^{4}/_{3} - (4)
^{4}/_{3}

- (1) 4x
^{4} - (2) 4x
^{5} - (3) 8x
^{4} - (4) 8x
^{5}

**17. In the diagram below, circle O is inscribed in square ABCD. The square has an area of 36.**

What is the area of the circle?

- (1) 9π
- (2) 6π
- (3) 3π
- (4) 36π

**18. Which point lies on the graph represented by the equation 3y + 2x = 8?**

- (1) (–2,7)
- (2) (0,4)
- (3) (2,4)
- (4) (7,–2)

**19. The equation of the axis of symmetry of the graph of y = 2x ^{2} – 3x + 7**

- (1) x = ¾
- (2) y = ¾
- (3) x =
^{3}/_{2} - (4) y =
^{3}/_{2}

**20. The box-and-whisker plot below represents the ages of 12 people.**

What percent of these people are age 15 or older?

- (1) 25
- (2) 35
- (3) 75
- (4) 85

**Integrated Algebra 24 January 2012 Questions Answer Keys**

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