Algebra 2 — Semester B Practice

Question 1 of 10

Massachusetts 8A-8CMedium Diagram

Which conic section is shown?

AEllipse

BCircle

CParabola

DHyperbola

Explanation

Two separate branches that open left and right indicate a hyperbola with horizontal transverse axis: x²/a² − y²/b² = 1.

Question 2 of 10

Massachusetts 8A-8CEasy Diagram

Identify the conic.

ACircle

BEllipse

CHyperbola

DParabola

Explanation

Equal radii in all directions → a circle.

Question 3 of 10

Massachusetts 8A-8CEasy Diagram

Which conic equation does this represent?

AHyperbola

BEllipse: x²/a² + y²/b² = 1

CCircle: x² + y² = r²

DParabola

Explanation

Oval shape stretched horizontally → ellipse with horizontal major axis.

Question 4 of 10

Massachusetts 6M-6PEasy Diagram

For the function whose graph approaches the dashed lines, what type of function is this most likely?

ALinear function

BRational function

CAbsolute value

DPolynomial

Explanation

Both vertical and horizontal asymptotes are characteristic of rational functions where degrees of numerator and denominator are similar.

Question 5 of 10

Massachusetts 7A-7IEasy Diagram

Match the end behavior to a possible polynomial.

Af(x) = x³ − 1

Bf(x) = −x⁴ + 1

Cf(x) = x

Df(x) = x⁴ − 2x²

Explanation

Both ends → +∞ matches even degree with positive leading. f(x) = x⁴ − 2x² qualifies.

Question 6 of 10

Massachusetts 5A-5CEasy Diagram

Which graph shows exponential growth?

AA — curve rising more steeply

BNeither

CB — curve falling toward x-axis

DBoth

Explanation

Growth: starts low, rises rapidly. A matches; B is decay.

Question 7 of 10

Massachusetts 5A-5CMedium Diagram

Which equation matches this exponential graph?

Ay = 2ˣ (growth)

By = (1/2)ˣ (decay)

Cy = x²

Dy = log₂(x)

Explanation

Curve approaches 0 as x → −∞ and grows rapidly as x increases → exponential growth.

Question 8 of 10

Massachusetts 7A-7IMedium Diagram

The graph shown most likely belongs to which polynomial?

AOdd-degree polynomial with positive leading coefficient

BOdd degree, negative leading coefficient

CEven-degree polynomial

DA line

Explanation

Left end goes up (+∞), right end goes down (−∞). That signature is odd degree, negative leading coefficient.

Question 9 of 10

Massachusetts 5A-5CEasy Diagram

Which graph shows exponential decay?

ANeither

BB (curve falling toward x-axis)

CA (curve rising)

DBoth

Explanation

Exponential decay: starts high, falls toward zero. Graph B matches; graph A is exponential growth.

Question 10 of 10

Massachusetts 7A-7IEasy Diagram

How many real zeros does the polynomial graph show?

A3 real zeros

B2 real zeros

C1 real zero

D4 real zeros

Explanation

Real zeros = where the curve crosses the x-axis. Three crossings shown.

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Want unlimited practice?