NJSLA Mathematical Reasoning and Modeling 4

Question 1

A scientist measures a sample's mass as 4.72 × 10⁻³ kg. Which of the following is equivalent?

Accepted Answer

0.00472 kg

Answer

Moving the decimal 3 places to the left gives 0.00472 kg.

Question 2

If f(x) = x² + 4 and g(x) = 2x − 1, what is f(g(3))?

Accepted Answer

29

Answer

g(3) = 2(3) − 1 = 5; then f(5) = 5² + 4 = 25 + 4 = 29.

Question 3

A triangle has side lengths of 5, 12, and 13. Which statement is true?

Accepted Answer

It is a right triangle

Answer

Since 5² + 12² = 25 + 144 = 169 = 13², the Pythagorean theorem confirms this is a right triangle.

Question 4

A movie theater sold 320 tickets at $8 each and $12 each, collecting $3,200 total. How many $8 tickets were sold?

Accepted Answer

200

Answer

Let x = $8 tickets and (320 − x) = $12 tickets: 8x + 12(320 − x) = 3200 → −4x = −640 → x = 160... recalculating: 8(200)+12(120)=1600+1440=3040≠3200; correct: 8x+12(320-x)=3200 → -4x=-640 → x=160.

Question 5

Which graph best represents the function y = −x² + 4?

Accepted Answer

A parabola opening downward with vertex at (0, 4)

Answer

The negative leading coefficient (−1) means the parabola opens downward, and the constant term 4 places the vertex at (0, 4).

NJSLA Exam Practice Test

NJSLA Exam Practice Test

NJSLA Mathematical Reasoning and Modeling 4