Algebra 12 June 2018 Questions Answer Keys

**The University Of The State Of New York**

Regents High School Examination

Algebra I

Tuesday, June 12, 2018 — 1:15 to 4:15 p.m., only

Student Name _________________________________________________________

School Name __________________________________________________________

**1. The solution to 4p + 2 < 2(p + 5) is**

- (1) p > -6
- (2) p < -6
- (3) p > 4
- (4) p < 4

**2. If k(x) = 2x ^{2} – 3√x , then k(9) is**

- (1) 315
- (2) 307
- (3) 159
- (4) 153

**3. The expression 3(x ^{2} + 2x – 3) – 4(4x^{2} – 7x + 5) is equivalent to**

- (1) -13x – 22x + 11
- (2) -13x
^{2}+ 34x – 29 - (3) 19x
^{2}– 22x + 11 - (4) 19x
^{2}+ 34x – 29

**4. The zeros of the function p(x) = x ^{2} – 2x – 24 are**

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

**5. The box plot below summarizes the data for the average monthly high temperatures in degrees Fahrenheit for Orlando, Florida.**

The third quartile is

- (1) 92
- (2) 90
- (3) 83
- (4) 71

**6. Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?**

- (1) 1.60x + 1.75y < 10
- (2) 1.60x + 1.75y > 10
- (3) 1.75x + 1.60y < 10
- (4) 1.75x + 1.60y > 10

**7. On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?**

- (1) 65
- (2) 67
- (3) 69
- (4) 71

**8. Which ordered pair below is not a solution to f(x) = x ^{2} – 3x + 4?**

- (1) (0,4)
- (2) (1.5,1.75)
- (3) (5,14)
- (4) (
**–**1,6)

**9. Students were asked to name their favorite sport from a list of basketball, soccer, or tennis. The results are shown in the table below.**

What percentage of the students chose soccer as their favorite sport?

- (1) 39.6%
- (2) 41.4%
- (3) 50.4%
- (4) 58.6%

**10. The trinomial x ^{2} – 14x + 49 can be expressed as**

- (1) (x – 7)
^{2} - (2) (x + 7)
^{2} - (3) (x – 7)(x + 7)
- (4) (x – 7)(x + 2)

**11. A function is defined as {(0,1), (2,3), (5,8), (7,2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function?**

- (1) (0,2)
- (2) (5,3)
- (3) (7,0)
- (4) (1,3)

**12. The quadratic equation x ^{2} – 6x = 12 is rewritten in the form (x + p)^{2} = q, where q is a constant. What is the value of p?**

- (1) –12
- (2) –9
- (3) –3
- (4) 9

**13. Which of the quadratic functions below has the smallest minimum value?**

- (1) h(x) = x
^{2}+ 2x – 6 - (3) k(x) = (x + 5)(x + 2)

**14. Which situation is not a linear function?**

- (1) A gym charges a membership fee of $10.00 down and $10.00 per month.
- (2) A cab company charges $2.50 initially and $3.00 per mile.
- (3) A restaurant employee earns $12.50 per hour.
- (4) A $12,000 car depreciates 15% per year.

**15. The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:**

I. 10 miles

II. 44,880 feet

III. 15,560 yards

Which run(s) are at least 15 kilometers?

- (1) I, only
- (2) II, only
- (3) I and III
- (4) II and III

**16. If f(x) = x ^{2} + 2, which interval describes the range of this function?**

- (1) (– ∞,∞)
- (2) [0,∞)
- (3) [2,∞)
- (4) (–∞,2]

**17. The amount Mike gets paid weekly can be represented by the expression 2.50a + 290, where a is the number of cell phone accessories he sells that week. What is the constant term in this expression and what does it represent?**

- (1) 2.50a, the amount he is guaranteed to be paid each week
- (2) 2.50a, the amount he earns when he sells a accessories
- (3) 290, the amount he is guaranteed to be paid each week
- (4) 290, the amount he earns when he sells a accessories

**18. A cubic function is graphed on the set of axes below.**

Which function could represent this graph?

- (1) f(x) = (x – 3)(x – 1)(x + 1)
- (2) g(x) = (x + 3)(x + 1)(x – 1)
- (3) h(x) = (x – 3)(x – 1)(x + 3)
- (4) k(x) = (x + 3)(x + 1)(x – 3)

**19. Mrs. Allard asked her students to identify which of the polynomials below are in standard form and explain why.**

I. 15x – 6x + 3x – 1

II. 12x^{3} + 8x + 4

III. 2x^{5} + 8x^{2} + 10x

Which student’s response is correct?

- (1) Tyler said I and II because the coefficients are decreasing.
- (2) Susan said only II because all the numbers are decreasing.
- (3) Fred said II and III because the exponents are decreasing.
- (4) Alyssa said II and III because they each have three terms.

**20. Which graph does not represent a function that is always increasing over the entire interval – 2 < x < 2?**

**Algebra 12 June 2018 Questions Answers Keys**

Algebra Examination Question |

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