Free Printable Benchmark I Review

1.

Simplify $81^{\frac{1}{2}}+125^{\frac{1}{3}}$

a)

206

b)

14

c)

45

d)

56

2.

Simplify $\left(x^5y^7\right)^2$

a)

$x^{25}y^{49}$

b)

$x^7y^9$

c)

$x^{10}y^{14}$

d)

$\left(xy\right)^{24}$

3.

Simplify

a)

x²y√xy

b)

xy

c)

x²y²

d)

Can't Simplify

4.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

5.

$Simplify\ ^4\sqrt{80x^8y^9}$

a)

$2x^2y^2\cdot^4\sqrt{5y}$

b)

$xy\cdot^4\sqrt{5y}$

c)

$2xy\cdot^4\sqrt{y}$

d)

$2x^4y^4\cdot^4\sqrt{5y}$

6.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

7.

What is the measure of side c?

a)

7

b)

7/√2

c)

7√2

d)

14

8.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

9.

Add the polynomials (x-2) and (x²+3)

a)

x²+x+1

b)

x³+5

c)

x³+1

d)

x³-1

10.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

11.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

12.

(x+7)(3x+2)

a)

3x² + 10x + 14

b)

3x²+ 14

c)

4x + 9

d)

3x²+ 23x +14

13.

(5x-1)(x+1)

a)

5x² + 4x - 1

b)

5x² + 6x - 1

c)

5x² - 4x - 1

d)

5x²+ 4x + 1

14.

(x - 6)(2x + 3)

a)

2x² - 9x - 18

b)

2x²+ 15x - 18

15.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

16.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

17.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

18.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

19.

How would you describe the translation from f(x)=x² to f(x)=(x-3)² ?

a)

Horizontal translation: three units to the left

b)

Horizontal translation: three units to the right

c)

Vertical translation: three units up

d)

Vertical translation: three units down

20.

Shift f(x)=x² three units to the left and 4 units down

a)

f(x)=(x+3)²-4

b)

f(x)=(x-3)²-4

c)

f(x)=(x+4)²-3

d)

f(x)=(x-4)²-3

21.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

22.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

23.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

24.

Factor by grouping:
3x³-x²+6x-2

a)

(x²+2)(3x+1)

b)

(x²+2)(3x-1)

c)

(3x³+6x)(x²-2)

d)

none of the aboe

25.

Factor completely: 2x²+22x+60

a)

(2x+10)(x+6)

b)

(x+5)(x+6)

c)

2(x+1)(x+30)

d)

2(x+5)(x+6)

26.

Factor completely: 3x²-36x+96

a)

(x-4)(x-8)

b)

3(x-4)(x-8)

c)

3(x+1)(x+32)

d)

3(x-2)(x+16)

27.

Factor completely: -5x²+30x-40

a)

-5(x-2)(x-4)

b)

(x-2)(x-4)

c)

-(5x-8)(x-5)

d)

(5x+10)(x+4)

28.

Factor completely: -2x²-22x-60

a)

(x-5)(x-6)

b)

-2(x+3)(x+10)

c)

(x-2)(x-30)

d)

-2(x+5)(x+6)

29.

Factor completely: x²-6x+8

a)

(x-2)(x-4)

b)

(x-1)(x-8)

c)

(x+2)(x+4)

d)

(x+1)(x+8)

30.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

31.

Calculate:
(4 − 7i) − (-3 + 6i)

a)

7 − 13i

b)

7 − i

c)

1 − 13i

d)

1 − i

32.

What does i²= ?

a)

1

b)

-1

c)

√-1

d)

√1

33.

Calculate (multiply):
(4 + 3i)(4 − 3i)

a)

16 − 9i²

b)

25

c)

7

d)

8 − 6i

34.

Simplify √-4

a)

2i

b)

-2i

c)

2

d)

4i

35.

Simplify √-81

a)

-√81

b)

-9i

c)

9i

d)

81i

Benchmark I Review

Total questions: 35

Worksheet time: 1hrs 28mins

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