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PRETEST 1

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What is the GCF of 2𝑥² − 4𝑥 − 6𝑥² = 2𝑥(𝑥 − 2 − 3𝑥²)?

a)

2𝑥

b)

(𝑥 − 2 − 3𝑥2)

c)

−4𝑥

d)

2𝑥(𝑥 − 2 − 3𝑥2)

2.

Which of the following is equivalent to 18𝑥 + 12𝑦?

a)

4(5𝑥 + 3𝑦)

b)

2(9𝑥 + 8𝑦)

c)

3(6𝑥 + 5𝑦)

d)

6(3𝑥 + 2𝑦)

3.

Which of the following is equivalent to the equation 𝑥 + 5 = (𝑥 + 3)²?

a)

(𝑥 + 1)(𝑥 + 4) = 0

b)

(𝑥 − 1)(𝑥 + 4) = 0

c)

(𝑥 + 1)(𝑥 + 4) = 5

d)

(𝑥 + 1)(𝑥 + 4) = 3

4.

Which of the following is a quadratic expression with a > 1?

a)

𝑥2 + 3𝑥 − 5

b)

– 𝑥2 − 2𝑥 − 1

c)

3𝑥2 − 𝑥 − 2

d)

5𝑥2 + 25

5.

Which of the following is a quadratic expression where a =1?

a)

4𝑥² − 7𝑥 − 8

b)

𝑥² − 5𝑥 − 280

c)

4𝑥² − 9

d)

9𝑥² + 𝑥 − 10

6.

Factor 𝑥3 − 8.

a)

(𝑥 + 2)(𝑥2 − 2𝑥 + 4)

b)

(𝑥 − 2)(𝑥2 + 2𝑥 + 4)

c)

(𝑥 − 5)(3𝑥 + 1)

d)

(3𝑥 − 5)(𝑥 + 1)

7.

Factor 𝑥3 + 27 completely.

a)

(𝑥 + 3)(𝑥2 − 3𝑥 + 9)

b)

(𝑥 + 3)(𝑥2 − 3𝑥 + 18)

c)

(𝑥 + 3)(𝑥2 − 3𝑥 − 9)

d)

(𝑥 + 5)(𝑥 − 3)

8.

Which of the following is a quadratic expression with a=1?

a)

𝑎2 − 3𝑥 − 2

b)

2𝑥² + 4𝑥 − 5

c)

− 𝑥² + 4𝑥 + 8

d)

2𝑥² − 2𝑥 + 7

9.

Which of the following will complete the statement below? If the product is positive, then m and n have _____________.

a)

Opposite signs

b)

Both negative signs

c)

Both positive signs

d)

Both negative or both positive signs

10.

Given the expression below, what is the sum and product of m and n?

𝑥² − 7𝑥 + 12

a)

Sum: +12

Product: -7

b)

Sum: -12

Product: +12

c)

Sum: -7

Product: +12

d)

Sum: +7

Product: -12

11.

Factor the following expression:

𝑥² − 3𝑥 − 18

a)

(𝑥 + 6)(𝑥 − 3)

b)

(𝑥 − 6)(𝑥 + 3)

c)

(𝑥 − 6)(𝑥 − 3)

d)

(𝑥 + 6)(𝑥 − 4)

12.

What is the factored form of 𝑥² − 49?

a)

(𝑥 − 7)(𝑥 − 7)

b)

(𝑥 − 49)(𝑥 + 49)

c)

(𝑥 − 7)(𝑥 + 7)

d)

(𝑥 − 49)(𝑥 − 49)

13.

Factor the following expression: 𝑥2 - 25?

a)

(𝑥 − 5)(𝑥 − 5)

b)

(𝑥 + 25)(𝑥 + 25)

c)

(𝑥 + 5)(𝑥 − 5)

d)

(𝑥 − 25)(𝑥 − 25)

14.

What is the factored form of 𝑥² − 6𝑥 + 8?

a)

(𝑥 − 2)(𝑥 + 4)

b)

(𝑥 − 8)(𝑥 + 1)

c)

(𝑥 − 2)(𝑥 − 4)

d)

(𝑥 − 8)(𝑥 − 1)

15.

Factor the following expression:

𝑥² + 8𝑥 + 12

a)

(𝑥 − 6)(𝑥 − 2)

b)

(𝑥 + 6)(𝑥 + 2)

c)

(𝑥 + 4)(𝑥 − 3)

d)

(𝑥 − 4)(𝑥 − 3)