Integrated Algebra 12 June 2013 Questions Answer Keys

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

Integrated Algebra

Wednesday, June 12, 2013 — 1:15 to 4:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

**1. Which expression represents “5 less than twice x”?**

- (1) 2x – 5
- (2) 5 – 2x
- (3) 2(5 – x)
- (4) 2(x – 5)

**2. Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability of Gabriella randomly selecting a quarter from the coins left in the jar?**

- (1)
^{14}/_{44} - (2)
^{30}/_{44} - (3)
^{14}/_{50} - (4)
^{20}/_{50}

**3. Based on the line of best fit drawn below, which value could be expected for the data in June 2015?**

- (1) 230
- (2) 310
- (3) 480
- (4) 540

**4. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is**

- (1) 1
- (2) 2
- (3) –1
- (4) –2

**5. A soda container holds 5½ gallons of soda. How many ounces of soda does this container hold?**

- (1) 44
- (2) 176
- (3) 640
- (4) 704

**6. The roots of a quadratic equation can be found using the graph below.**

What are the roots of this equation?

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

**7. If the area of a rectangle is represented by x ^{2} + 8x + 15 and its length is represented by x + 5, which expression represents the width of the rectangle?**

- (1) x + 3
- (2) x – 3
- (3) x
^{2}+ 6x + 5 - (4) x
^{2}+ 7x + 10

**8. Which set of data describes a situation that would be classified as qualitative?**

- (1) the colors of the birds at the city zoo
- (2) the shoe size of the zookeepers at the city zoo
- (3) the heights of the giraffes at the city zoo
- (4) the weights of the monkeys at the city zoo

**9. The value of the expression 6! + ^{5!(3!)}/_{4!} – 10 is**

- (1) 50
- (2) 102
- (3) 740
- (4) 750

**10. Which interval notation represents –3 ≤ x ≤ 3?**

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

**11. The solutions of x ^{2} = 16x – 28 are**

- (1)
**–**2 and**–**14 - (2) 2 and 14
- (3)
**–**4 and**–**7 - (4) 4 and 7

**12. If the expression (2y ^{a})^{4} is equivalent to 16y^{8}, what is the value of a?**

- (1) 12
- (2) 2
- (3) 32
- (4) 4

**13. Which table shows bivariate data?**

**14. The box-and-whisker plot below represents the results of test scores in a math class.**

What do the scores 65, 85, and 100 represent?

- (1) Q
_{1}, median, Q_{3} - (2) Q
_{1}, Q_{3}, maximum - (3) median, Q
_{1}, maximum - (4) minimum, median, maximum

**15. The expression ^{x – 3}/_{x + 2} is undefined when the value of x is**

- (1)
**–**2, only - (2)
**–**2 and 3 - (3) 3, only
- (4)
**–**3 and 2

**16. If rx – st = r, which expression represents x?**

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

**17. What is the solution of the equation ^{x + 2}/_{2 }= ^{4}/_{x}?**

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

**18. Which type of function is graphed below?**

- (1) linear
- (2) quadratic
- (3) exponential
- (4) absolute value

**19. What is the slope of the line represented by the equation 4x + 3y = 12?**

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

**20. The diagram below shows the graph of which inequality?**

- (1) y > x – 1
- (2) y ≥ x – 1
- (3) y < x – 1
- (4) y ≤ x – 1

**Integrated Algebra 12 June 2013 Questions Answers Keys**

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