Free Printable Review (unit 4 Test 1)

1.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

d)

3 to the 5th

2.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

8a⁶b⁸z⁵

d)

12a⁵b⁶z⁶

3.

(12x³y)²

a)

24x⁶y²

b)

144x⁵y³

c)

144x⁶y²

d)

24x⁵y³

4.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

5.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

6.

Simplify the expression

8^{-23}

a)

$8^{23}$

b)

$\frac{1}{8^{-23}}$

c)

$\frac{1}{23}$

d)

$\frac{1}{8^{23}}$

7.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

8.

Which expression is equivalent (equal) to

a)

10^-12

b)

10^-6

c)

1/10⁶

d)

1/10¹²

9.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

10.

Simplify

$\left(\frac{x}{y}\right)^7$

a)

$\left(\frac{x^7}{y}\right)$

b)

$\left(\frac{x}{y^7}\right)$

c)

$\left(\frac{x^7}{y^7}\right)$

d)

$\left(\frac{7x}{7y}\right)$

11.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

12.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

13.

Classify by number of terms:
2x – 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

14.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

15.

Classify by number of terms:
12

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

16.

Classify the following by degree:

$x^{10}+y+5$

a)

10th degree

b)

cubic

c)

qudratic

d)

linear

17.

$-3x^5-3x+7$

What is the degree ?

a)

5

b)

3

c)

7

18.

$-9x^2y^4z^6$ Find the degree of the monomial.

a)

Degree: 10

b)

Degree: 12

c)

Degree: 6

d)

Degree: 4

19.

$4x^3y+5x^2y^2-7$ Name each expression based on its degree and number of terms.

a)

Fourth degree trinomial.

b)

Cubic trinomial.

c)

Quadratic trinomial

d)

Cubic binomial.

20.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

21.

a)

3x³+8x

b)

x³+3x²+8x

c)

2x²+8x

d)

x³-3x³+8x²

22.

a)

23x^5_11x

b)

-5x⁵-x

c)

23x⁵+11x

d)

5x⁵+x

23.

What is the degree of the polynomial? 5x⁵ - 6x⁶ + 2

a)

1

b)

5

c)

6

d)

11

24.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

25.

Which polynomial expression is written in standard form?

a)

$4x^4-16x^2+12-5x$

b)

$-6x^2+3x^3+x^5$

c)

$7x^5+4x^3-2x^2+18$

26.

(2x-1)(x+5)

a)

$2x^2+9x-5$

b)

$2x+5x-1x$

c)

$2x^2-1x+5$

27.

(3n-4)(3n-4)

a)

$9n^2-24n+16$

b)

$3n^2-4x+8$

c)

$n^2-24n+16$

28.

(8m-2)(8m+2)

a)

$63m^2+2$

b)

$64m^2-4$

c)

$8m^2-2$

29.

(x+5)(x-6)

a)

$x^2-6x-30$

b)

$x^2-x-30$

c)

$x^2+5x-6$

30.

$\left(m+5\right)\left(m^2+4m-8\right)$

a)

$m^3+4m^2-8m+5m^2+20m-40$

b)

$m^2+40m+m^3$

c)

$m^3+9m^2+12m-40$

31.

$\left(x+3\right)\left(x^2+4x+7\right)$

a)

$x^3+7x^2+19x+21$

b)

$x^2+19x+7x+7$

c)

$x^3+x^2+19x+7$

32.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

33.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

34.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

35.

Simplify

a)

x²⁸y¹² / x²y

b)

x²⁸y¹² / x⁸y⁴

c)

x²⁰y⁸

36.

a)

A

b)

B

c)

C

d)

D

Review (unit 4 Test 1)

Total questions: 36

Worksheet time: 1hrs 12mins

Similar Resources on Wayground