Free Printable Honors Unit 1 Summative

1.

Fully simplify using only positive exponents: $\frac{9x^3y^2}{9x^8y^8}$

a)

$x^{-5}y^{-6}$

b)

$\frac{1}{x^5y^6}$

c)

$x^5y^6$

d)

$\frac{x^5}{y^6}$

2.

3. Fully simplify. $(-6x^3y)^4$

a)

$1296x^{12}y^4$

b)

$-1296x^{12}y^4$

c)

$1296x^{12}y^3$

d)

$-1296x^{12}y^3$

3.

Write the number 4.8 × 10^3 in standard form.

a)

4800

b)

48

c)

48000

d)

0.048

4.

Write the number 2.6 × 10^{-5} in standard form.

a)

0.000026

b)

0.00026

c)

0.0026

d)

0.026

5.

Write the number 5,500,000 in scientific notation.

a)

5.5 x 10^6

b)

5.5 x 10^5

c)

5.5 x 10^7

d)

5.5 x 10^8

6.

Write the number 0.0000054 in scientific notation.

a)

5.4 x 10^-6

b)

5.4 x 10^-5

c)

0.54 x 10^-6

d)

54 x 10^-7

7.

8. What is the product of $3.8 \times 10^2$ and $6.4 \times 10^6$ expressed in scientific notation?

a)

$2.432 \times 10^9$

b)

$24.32 \times 10^8$

c)

$2.432 \times 10^8$

d)

$24.32 \times 10^9$

8.

9. What is the quotient of $2.592 \times 10^7$ and $7.2 \times 10^4$ expressed in scientific notation?

a)

3.6 × 10^2

b)

3.6 × 10^3

c)

3.6 × 10^4

d)

3.6 × 10^5

9.

What is the result when you expand and simplify: $-3x(-x^2 - 2x)$ ?

a)

-3x^3 + 6x^2

b)

3x^3 + 6x^2

c)

3x^3 - 6x^2

d)

-3x^3 - 6x^2

10.

What is the expanded form of the expression $(x - 3)(2x^2 - x + 8)$ ?

a)

2x^3 - 7x^2 + 11x-24

b)

2x^3 - x^2 + 8x - 3

c)

2x^3 - 6x^2 + 17x - 24

d)

2x^3 - 5x^2 + 14x - 24

11.

Factor each completely. SHOW ALL WORK. Factor the expression completely: -27x - 30x^4

a)

-3x(9 + 10x^3)

b)

-3x(9x + 10x^3)

c)

-3x(9 + 10x^4)

d)

-3x(9x + 10x^4)

12.

Factor x^2 - 8x + 15

a)

(x - 3)(x - 5)

b)

(x + 3)(x + 5)

c)

(x - 1)(x - 15)

d)

(x + 1)(x - 15)

13.

Factor completely: $3x^2 - 10x + 7$

a)

(3x - 7)(x - 1)

b)

(3x + 1)(x - 7)

c)

(3x - 1)(x - 7)

d)

(3x - 7)(x + 1)

14.

Factor completely: $36 - 49x^2$

a)

(6 - 7x)(6 + 7x)

b)

(6x - 7)(6x + 7)

c)

(36 - 49)(x^2)

d)

(6 - 7)(6 + 7)x^2

Honors Unit 1 Summative

Total questions: 14

Worksheet time: 7mins

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