NJGPA Algebra I and Geometry Concepts 4

Question 1

Which of the following is the graph of a linear function?

Accepted Answer

A straight line with constant slope

Answer

A linear function always produces a straight line graph with a constant slope.

Question 2

Solve the system: y = 2x + 1 and y = -x + 7

Accepted Answer

(2, 5)

Answer

Set 2x + 1 = -x + 7, so 3x = 6, x = 2, and y = 2(2) + 1 = 5.

Question 3

What is the perimeter of a regular hexagon with side length 8 cm?

Accepted Answer

48 cm

Answer

A regular hexagon has 6 equal sides, so perimeter = 6 × 8 = 48 cm.

Question 4

Which expression is equivalent to (x + 3)²?

Accepted Answer

x² + 6x + 9

Answer

(x + 3)² = x² + 2(3)x + 3² = x² + 6x + 9.

Question 5

The circumference of a circle is 31.4 cm. What is its radius? (Use π ≈ 3.14)

Accepted Answer

5 cm

Answer

C = 2πr, so r = C / (2π) = 31.4 / (2 × 3.14) = 31.4 / 6.28 = 5 cm.

(NJGPA) New Jersey Graduation Proficiency Assessment Practice Test