Free Printable Algebra Regents Unit 1 Quiz 2 Review

1.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

2.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

3.

Multiply: (r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

4.

Simplify:
(x - 9)(x - 7)

a)

x² - 2x - 63

b)

x² - 16x - 63

c)

x² - 2x + 63

d)

x² - 16x + 63

5.

$\frac{\text{3}x^2-2xy}{\text{2x}}$

a)

$1.5x^{3\ }-x^2y$

b)

$1.5x\ -\ y$

c)

$1.5x\ +\ y$

d)

$1.5x\ -\ 2y$

6.

$\frac{10x^3-6x^{2\ }+5x}{4x}$

a)

$2.5x^2\ -\ 1.5x\ +1.25^{ }$

b)

$14x^4\ -\ 10x^3\ +9x^2$

c)

$2.5x^3\ -1.5x^2\ +1.25x$

d)

$2x^{3\ }+1.5x\ -1.25$

7.

$\frac{6a^3b^2c^{4\ }-\ 8a^2b^2c}{2a^2bc}$

a)

$3abc\ -\ 4abc$

b)

$3abc^{3\ }-\ 4b$

c)

$3a^3b^2c^{4\ }-\ 4b$

d)

$3abc\ +4b$

8.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

9.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

10.

Simplify the expression: 3x² + 2x²

a)

5x²

b)

5x⁴

c)

6x⁴

d)

6x²

11.

Simplify the expression: 2x² + 1 + 7x²

a)

10x⁴

b)

10x²

c)

9x² + 1

d)

1 + 9x⁴

12.

A polynomial that contains 2 terms is called a ___________________.

a)

binomial

b)

monomial

c)

trinomial

d)

duonomial

13.

A polynomial that contains only 1 term is called a _________________.

a)

binomial

b)

monomial

c)

trinomial

d)

uninomial

14.

A polynomial that contains 3 terms is called a ________________________.

a)

binomial

b)

monomial

c)

trinomial

d)

triomial

15.

Perform the indicated operation . Write answer in descending order ( 3x² - 8x + 7 ) + ( 8x² + 9x - 16 )

a)

11x⁴ + x² - 9

b)

11x² - x - 9

c)

11x² -17x - 11

d)

11x² + x - 9

16.

Perform the indicated operation.

Write answer in descending order.

( 9x² - 7x + 8 ) - ( 12x² - 8x - 11 )

a)

-3x² - 15x + 19

b)

21x² - 15x - 3

c)

-3x² - 15x - 3

d)

-3x² + x + 19

17.

Perform the indicated operation. Write the answer in descending order. Subtract ( 14x² - 17x + 9 ) from ( 8x² - 16x - 9 ) .

a)

-6x² + x - 18

b)

6x² - x + 18

c)

6x² + x + 18

d)

-6x² - x - 18

18.

Perform the indicated operation. Write answer in descending order. ( 8x² - 12x + 6 ) + ( 7x³ + 8x - 15 )

a)

15x² - 4x - 9

b)

7x³ + 8x² - 4x - 11

c)

7x³ + 8x² - 4x - 9

d)

15x² - 4x - 11

19.

What were the final units for this conversion?

a)

minutes per foot

b)

minutes per inch

c)

feet per minute

d)

inches per minutes

20.

Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour. Which ratio is incorrectly written to convert his speed?

a)

\frac{3\ ft}{1\ yd}

b)

$\frac{5280\ ft}{1\ mi}$

c)

$\frac{60\sec}{1\min}$

d)

$\frac{60\min}{1\ hr}$

21.

Which expression can be used to change 75 kilometers per hour to meters per minute?

a)

b)

c)

d)

22.

Bamboo plants can grow 91 centimeters per day. Which is the correct conversion to approximate growth of the plant, in inches per hour?

a)

$\frac{91\ cm}{1\ day}\times\frac{1\ in}{2.54\ cm}\times\frac{1\ day}{24\ hr}$

b)

$\frac{1\ day}{91\ cm}\times\frac{1\ in}{2.54\ cm}\times\frac{1\ day}{24\ hr}$

c)

$\frac{91\ cm}{1\ day}\times\frac{2.54\ cm}{1\ in}\times\frac{1\ day}{24\ hr}$

d)

$\frac{91\ cm}{1\ day}\times\frac{1\ in}{2.54\ cm}\times\frac{24\ hr}{1\ day}$

23.

Last year, Nick rode his bicycle a total of 8000 miles. He wants to know how many yards he rode each day and is planning on using the following conversion. Which part of his conversion is incorrect? $\frac{8000\ miles}{1\ year}\times\frac{1\ mile}{1760\ yards}\times\frac{1\ year}{365\ days}$

a)

$\frac{8000\ miles}{1\ year}$

b)

$\frac{1\ miles}{1760\ yards}$

c)

$\frac{1\ year}{365\ days}$

d)

none

24.

Which property is represented?
3 + (15 + 4) = (3 + 15) + 4

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

25.

Which property is represented?
44 + 99 = 99 + 44

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

26.

Are the expressions equivalent and what property is used?

(5 x 10) x 2 and 5 x (10 x 2)

a)

Yes, Commutative Property

b)

Not equal

c)

Yes, Associative Property

d)

Yes, Identity Property of Multiplication

27.

2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

28.

n²⋅n⁴

a)

n²

b)

n⁸

c)

n⁶

d)

n²²

29.

Simplify the following:
(n²m³)⁴

a)

nm¹²

b)

n⁶m⁷

c)

n⁸m¹²

d)

n¹²m⁸

30.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

31.

(3c²)(10c⁷)

a)

13c⁹

b)

30c⁵

c)

30c⁹

d)

-30c⁹

32.

Simplify:

$\left(xy^3\right)^2\left(x^2y\right)^3$

(Hint: Make sure all variables have an exponent. Distribute the exponents and multiply the powers. Don't forget to add exponents of like variables as your last step.)

a)

$x^8y^9$

b)

$x^7y^8$

c)

$\left(x^2y^6\right)\left(x^6y^3\right)$

33.

Simplify:

$\frac{1}{2}\left(4ab^2\right)^2\left(a^4b^5\right)^3$

(Hint: Make sure all variables and coefficients have an exponent. Distribute the exponents and multiply the powers. Then add exponents of like variables.)

a)

$4a^{10}b^{11}$

b)

$8a^{14}b^{19}$

c)

$8a^{24}b^{60}$

34.

Distribute: -3w(4 - w)

a)

- 12w + 3w²

b)

- 15w

c)

12w - 3w²

d)

9w

35.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

36.

According to exponent rules, when we multiply expressions with same bases we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

37.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

38.

Simplify.

3x⁻²

a)

b)

c)

d)

39.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

40.

Simplify
-2x - 4(4x - 8)

a)

-16x - 2

b)

-18x + 32

c)

18x - 32

d)

-16x + 2

41.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

42.

(5c-2)(3c²-5c+4)

a)

15c³-31c⁴+30c²-8

b)

15c³-19c²+10c-8

c)

15c³-31c²+30c-8

d)

15c³-31c²+30c+8

43.

Multiply
(x²-2x+1)(x+1)

a)

x³-x²-x+1

b)

x³-2x+2

c)

x³+x²+x+1

d)

x³-3x²-3x+1

44.

What is the perimeter of the rectangle?

Write an expression to represent the perimeter.

a)

5x + 5x+ x+3 + x+3

b)

5x+x+3

c)

5x + x+3 + 5x

d)

(5x)(x+3)

45.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

46.

What is the Area?

a)

$2x^2-3x-18$ sq, in.

b)

$2x^2+3x+18$ sq. in.

c)

$2x^2+9x-18$ sq. in.

d)

$2x^2-9x-18$ sq. in.

47.

Simplify.

$5x\left(2x^3+6\right)$

a)

$10x^4+30x$

b)

$10x^3+30x$

c)

$7x^4+11x$

d)

$7x^3+11x$

48.

The perimeter of the
triangle is $10x+20$ . Find the length of the missing side.

a)

$6x+10$

b)

$15x+30$

c)

$5x+10$

d)

$5x-10$

49.

Make this negative exponent positive.
$9^{-3}$

a)

$9^3$

b)

$\frac{1}{9^{-3}}$

c)

$\frac{1}{9^3}$

d)

$729$

50.

Choose the correct answer below.

a)

$A=3x^2+9x-5$

b)

$A=5x^2-x+7$

c)

$A=3x^2-x+7$

d)

$A=5x^2+9x-5$

Algebra Regents Unit 1 Quiz 2 Review

Total questions: 50

Worksheet time: 2hrs 53mins

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