Free Printable Algebra Final Exam Review, Day-2

1.

Factor Completely

5x²-28x+32

a)

(3x-10)(x+6)

b)

(x-8)(5x-4)

c)

(5x-8)(x-4)

d)

(5x-8)(x+7)

2.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

3.

$\left(8x^3\right)\left(-7x^4y^3\right)$

a)

$\frac{8x^3}{7x^4y^3}$

b)

$x^7y^3$

c)

$-56x^7y^3$

d)

$\frac{8}{7xy^3}$

4.

Factor x² – 16.

a)

(x + 2)(x – 8)

b)

(x – 4)(x – 4)

c)

(x + 4)(x + 4)

d)

(x + 4)(x – 4)

5.

Multiply:

\left(2x-7\right)\left(x+2\right)

a)

$2x^2-5x+4$

b)

$2x^2+3x+14$

c)

$2x^2-3x-14$

d)

$x^2+3x-14$

6.

$\frac{x^{10}y^{10}z^{10}}{x^3y^2z}$

a)

$x^{13}y^{12}z^{11}$

b)

$\frac{1}{x^7y^8z^9}$

c)

$x^7y^8z^9$

d)

$\frac{1}{x^{13}y^{12}z^{11}}$

7.

What is the vertex?

a)

(3, 1)

b)

(0, 7)

c)

(1, 3)

d)

(7, 0)

8.

Solve using the Quadratic formula.
y = 3 $x^2$ - 4x - 5

a)

$\frac{4\pm2\sqrt{17}}{6}$

b)

$\frac{2\pm\sqrt{19}}{3}$

c)

$\frac{-4\pm\sqrt{76}}{6}$

d)

No Solution

9.

Solve by factoring.

y = 2x² - 3x - 20

a)

-8, 5

b)

4, -5

c)

4, - $\frac{5}{2}$

d)

-4, $\frac{5}{2}$

10.

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

3a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

11.

Solve 2x² - 7x + 6 = 0 by factoring

a)

x = -3/2 and x = -2

b)

x = -3 and x = -2

c)

x = 3 and x = 2

d)

x = 3/2 and x = 2

12.

a)

7x + 5

b)

24x + 4

c)

9x + 5

d)

9x² + 5

13.

$Factor:\ x^2+18x+32$

a)

$(x+16)(x+2)$

b)

$(x-16)(x-2)$

c)

$\left(x+6\right)\left(x+3\right)$

d)

$\left(x-3\right)\left(x-6\right)$

14.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 25 ) ( x - 25 )

d)

Prime

15.

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below. How high will the ball be after 3 seconds?

a)

20 ft

b)

15 ft

c)

5 ft

d)

10 ft

16.

What are like terms?
Terms that have....

a)

the same variables

b)

the same exponents

c)

the same coefficients

d)

the same variables and exponents

17.

What is the name of a polynomial with three terms?

a)

monomial

b)

binomial

c)

trinomial

d)

cubic

18.

In which form is the following linear function?

2x+5y=-10

a)

Slope Intercept Form

b)

Point-Slope Form

c)

Standard Form

19.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

20.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

Algebra Final Exam Review, Day-2

Total questions: 20

Worksheet time: 1hrs 6mins

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