# Algebra II Practice Questions For The Final Exam

35 Questions | Total Attempts: 139  Settings  Related Topics
• 1.
Choose the graph which best represents the function. f(x)=–2–ex A. B.   C. D.
• A.

A

• B.

B

• C.

C

• D.

D

• 2.
If  is \$3000 is invested at a rate of 9%, compounded continuously, find the balance in the account after 5 years. Use the formula A=Pert
• A.

\$4615.87

• B.

\$5148.02

• C.

\$4704.94

• D.

\$22,167.17

• 3.
Solve triangle ABC, given that A=48°, B=59°, b=61
• A.

C=73° a=52.89 c=68.06

• B.

C=73° a=70.36 c=78.5

• C.

C=253° a=52.89 c=68.06

• D.

C=253° a=70.36 c=78.5

• 4.
Factor the expression: 25y2–9
• A.

(5y–3)²

• B.

(25y+1)(y–9)

• C.

(5y+3)²

• D.

(5y+3)(5y–3)

• 5.
• A.

108√3

• B.

21√7

• C.

15√3

• D.

105√7

• 6.
Solve the following equation by completing the square: –3x2–30x–15=0
• A.

X=5±2√5

• B.

X=–5±2√5

• C.

X=–5±√30

• D.

X=5±√30

• 7.
Find the maximum value of the equation: y=–4x2+24x–40
• A.

–68

• B.

–4

• C.

–40

• D.

–3

• 8.
Solve for x. 2x2+x=–3
• A.

(1±i√23)/4

• B.

(–1±i√25)/4

• C.

(1±i√25)/4

• D.

(–1±i√23)/4

• 9.
Evaluate the function for t=4 using synthetic division. f(t)=2t3–3t2+2t+7
• A.

98

• B.

95

• C.

104

• D.

15

• 10.
Factor the expression completely. 4x3–8x2+24x
• A.

4x(x–2)(x+6)

• B.

4(x³–2x²+6x)

• C.

4x(x²–2x+6)

• D.

X(4x²–8x+24)

• 11.
Choose the graph that best represents the function. f(x)=2(1/2)x A. B. C. D.
• A.

A

• B.

B

• C.

C

• D.

D

• 12.
Simplify: A. B. C. D.
• A.

A

• B.

B

• C.

C

• D.

D

• 13.
Solve for x.
• A.

1/7

• B.

5/14

• C.

11/14

• D.

1/14

• 14.
A highway map of Ohio has a coordinate grid superimposed on top of the state. Cincinatti is at the point (-1,-3) and Springfield is at the point (8,0). There is a rest area halfway between the cities. Find the coordinates of the rest area, and the distance between Springfield and Cincinnatti, given the scale of 1 unit=6.32 miles
• A.

(7/2,-3/2) 60 miles

• B.

(-3/2,7/2) 60 miles

• C.

(-3/2,7/2) 48 miles

• D.

(7/2,-3/2) 48 miles

• 15.
Choose the equation of the parabola with vertex (0,0) and directrix y=4.
• A.

X=-16y²

• B.

Y=–16x²

• C.

X=4y²

• D.

Y=(–1/16)x²

• 16.
Choose the graph that best represents the given equation: 9x²+16y²=144 A. B. C. D.
• A.

A

• B.

B

• C.

C

• D.

D

• 17.
Find an equation for a parabola with focus (–5,–7)  and vertex (–5,–2).
• A.

Y+2=–1/20(x+5)²

• B.

Y–2=–1/20(x–5)²

• C.

Y+7=–1/20(x+5)²

• D.

X–7=–1/20(y–5)²

• 18.
Write the equation of the parabola in standard form. x²–6x+8y–23=0
• A.

Y–3= 1/8 (x–4)²

• B.

Y–4= –1/8 (x–3)²

• C.

Y–3= –1/8 (x–4)²

• D.

Y–4= –1/8 (x–4)²

• 19.
Choose the equation that best fits the given graph.
• A.

(x+4)²/4–(y–1)²/16=1

• B.

(x–1)²/4–(y+4)²/16=1

• C.

(x–4)²/4–(y+1)²/16=1

• D.

(x+1)²/4+(y-4)²/16=1

• 20.
Classify the following equation. x=y²+9
• A.

Parabola

• B.

Circle

• C.

Ellipse

• D.

Hyperbola

• 21.
Find the first four terms of the sequence given by the equation. tn=n(2n-7)
• A.

–5, –6, –3, 4

• B.

2, –12, –19, –26

• C.

2, 1, 11, 25

• D.

–5, –6, –10, –11

• 22.
Find the sum of the infinite series. 1/4+1/8+1/16+1/32+…
• A.

15/32

• B.

1

• C.

1/2

• D.

1/3

• 23.
Find cos(x) as a fraction in lowest terms.
• A.

5/12

• B.

12/5

• C.

5/13

• D.

12/13

• 24.
A photographer points a camera at a window in a nearby building, forming an angle of 48° with the base of the camera.  If the camera is 50 meters from the building, how high above the platform is the window, to the nearest hundredth?
• A.

0.90 meters

• B.

1.11 meters

• C.

55.53 meters

• D.

45.02 meters

• 25.
• A.

3π/20

• B.

3π/40

• C.

20π/3

• D.

40π/3