Free Printable Algebra 2 EOY Review

1.

Which of the following inequalities match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

2.

What is the vertex of the graph of $f\left(x\right)\ =\ 2x^2-4x$ ?

a)

(0, 0)

b)

(0, 2)

c)

(1, -2)

d)

(1, 6)

3.

Solve $6-3\left(4x-5\right)=7$ .

a)

$x=-\frac{4}{3}$

b)

$x=\frac{7}{6}$

c)

$x=\frac{11}{6}$

d)

$x=\frac{7}{3}$

4.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

5.

Simplify.
$\left(3-\sqrt{2}\right)\left(4+\sqrt{2}\right)$

a)

$10-\sqrt{2}$

b)

$12-\sqrt{2}-\sqrt{4}$

c)

$10-\sqrt{4}$

d)

$10+\sqrt{2}$

6.

Solve for x.

$\left|4x-3\right|=17$

a)

x = 5 and x = -3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

7.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

8.

Factor:

x² - 169

a)

(x - 13)²

b)

(x + 14)(x - 14)

c)

(x + 13)(x - 13)

d)

(x - 14)²

9.

Factor
4n²-17n-15

a)

(n-10)(6n+1)

b)

(4n-5)(n-3)

c)

(n-5)(4n-3)

d)

(n-5)(4n+3)

10.

What are the roots of the following quadratic?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

11.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

12.

(6x⁹y⁵)²

a)

6x¹⁸y¹⁰

b)

36x¹¹y⁷

c)

6x¹¹y⁷

d)

36x¹⁸y¹⁰

13.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

14.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

15.

Write the equation of the line that goes through the points (4, 7) and (0, -5)

a)

y = 1/3x + 7

b)

y = 3x + 7

c)

y = 1/3x - 5

d)

y = 3x - 5

16.

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

a)

f(x) = 417(3.75)^x

b)

f(x) = 417(0.0375)^x

c)

f(x) = 417(1.0375)^x

d)

f(x) = 417(1.375)^x

17.

Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)^x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?

a)

A fee charged for an inactive account

b)

The percent of money in the account after x years

c)

The amount of money in the account initially

d)

The amount of money in the account after x years

18.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

19.

Rewrite using a positive exponent. $2w^{-13}$

a)

$-w^{13}$

b)

$\frac{2}{w^{13}}$

c)

$\frac{2}{w^{-13}}$

d)

$2x^{13}$

20.

$\frac{9a^3b^5}{-3ab^2}$

a)

$-3a^3b^3$

b)

$-3a^4b^7$

c)

$12a^2b^3$

d)

$-3a^2b^3$

21.

$4c^8d^{-3}\cdot5c^{-5}d^{-1}$

a)

$9c^3d^4$

b)

$\frac{20c^3}{d^4}$

c)

$20c^3d^4$

d)

$\frac{20}{c^3d^4}$

22.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

23.

Which system of inequality is shown?

a)

y > -4/5x - 1
y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1
y ≤ 2/3x + 3

c)

y < -4/5x - 1
y < 2/3x + 3

d)

y = -4/5x - 1
y ≥ 2/3x + 3

24.

Solve:

5x + 7y = 3

2x + 3y = 1

a)

(2, -1)

b)

(1, -2)

c)

(2, -1)

d)

(-1, 2)

25.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

26.

Solve: $\left|2x+9\right|=15$

a)

x = 3

b)

x = 3

x = -6

c)

x = 3

x = -12

d)

x = 6

x = -12

27.

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

a)

(-4, 2) and (-1, 5)

b)

(-4, -1) and (2, 5)

c)

(2, -1 and (-4, 5)

d)

(-4, 1) and (2, -1)

28.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

29.

Factor
k² - 2k - 24

a)

(k+4)(k+6)

b)

(k+4)(k-6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

30.

Factor:
4h² - 17h + 4

a)

(2h - 2)²

b)

4(h + 4)(h + 1)

c)

(2h - 2)(2h + 2)

d)

(h - 4)(4h - 1)

31.

Factor

6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

(2x - 3)(3x + 2)

d)

(3x - 2)(2x + 3)

32.

Factor to solve.

x² - 8x + 15 = 0

a)

x = -5, -3

b)

x = 5 , 3

c)

x = -15, 1

d)

x = 7, 8

33.

Solve by factoring or square rooting.

x²- 25 = 0

a)

x = 5, -5

b)

x = 5

c)

x = -5

d)

x = 25

34.

Solve: x² - 6x + 5 = 0

a)

-3 and -2

b)

-6 and 1

c)

5 and 1

d)

-1 and -5

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

b)

c)

d)

Algebra 2 EOY Review

Total questions: 37

Worksheet time: 3hrs 5mins

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