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Factorising Algebraic Expressions (with negative common factors)

Authored by Murray Langfield

Mathematics

6th - 8th Grade

Used 1+ times

Factorising Algebraic Expressions (with negative common factors)
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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of −2𝑥−6?

(taking out the negative HCF)

−2(x+3)

−6(x+2)

x(−2−6)

−6(2x+1)

Answer explanation

Explanation: The common factor between -2x and -6 is -2. Dividing each term by -2 results in −2(𝑥+3).

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of −4𝑎+12?

−4(a−3)

−12(a−4)

𝑎(−4+12)

−12(4a+1)

Answer explanation

Explanation: The common factor between -4a and 12 is -4. Dividing each term by -4 results in −4(𝑎−3).

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of −6𝑐−18?

−18(6c+1)

c(−6−18)

−18(c+6)

−6(c+3)

Answer explanation

Explanation: The common factor between -6c and -18 is -6. Dividing each term by -6 results in −6(𝑐+3).

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of −8𝑥+24?

−8(x−3)

−24(x−8)

x(−8+24)

−24(8x+1)

Answer explanation

Explanation: The common factor between -8x and 24 is -8. Dividing each term by -8 results in −8(𝑥−3).

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of −10𝑎−30?

−30(a+10)

a(−10−30)

−10(a+3)

−30(10a+1)

Answer explanation

Explanation: The common factor between -10a and -30 is -10. Dividing each term by -10 results in −10(𝑎+3).

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of 4𝑦−12? (take a negative common factor)

−12(y−4)

−4(y−3)

y(4−12)

−12(4y+1)

Answer explanation

Explanation: The common factor between 4y and -12 is -4. Dividing each term by -4 results in −12(𝑦−4).

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of 6𝑏−18? (take a negative common factor)

b(6−18)

−18(6b+1)

−18(b−6)

−6(b−3)

Answer explanation

Explanation: The common factor between 6b and -18 is -6. Dividing each term by -6 results in −6(𝑏−3).

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