NYSTCE NYSTCE Mathematics (004) 5

Question 1

A teacher uses algebra tiles to model 2x² + 3x − 2. What is one factored form students might discover?

Accepted Answer

(2x − 1)(x + 2)

Answer

Expanding (2x−1)(x+2) gives 2x²+4x−x−2 = 2x²+3x−2, confirming the factorization.

Question 2

What is the sum of the interior angles of a convex polygon with 7 sides?

Accepted Answer

900°

Answer

The sum of interior angles of an n-gon is (n−2)×180°; for n=7: 5×180°=900°.

Question 3

Which property justifies the step: If 3x = 12, then x = 4?

Accepted Answer

Division property of equality

Answer

Dividing both sides of an equation by the same nonzero number preserves equality (division property).

Question 4

Which representation best models a proportional relationship?

Accepted Answer

y = 4x

Answer

A proportional relationship has the form y = kx (passes through the origin with constant ratio), so y = 4x qualifies.

Question 5

A student measures a cylinder's radius as 5 cm (±0.1 cm) and height as 10 cm (±0.2 cm). Which concept applies when considering measurement error in the volume calculation?

Accepted Answer

Relative error propagation

Answer

When computing V=πr²h from measured values, errors in r and h combine through relative error propagation.

NYSTCE Practice Test

NYSTCE Practice Test

NYSTCE NYSTCE Mathematics (004) 5