Chapter End Test Quiz 4

Answer explanation

To factorize 33p + 22, find the greatest common factor (GCF) of the coefficients 33 and 22, which is 11. Thus, we can factor out 11: 11(3p + 2). The factored form is 11(3p + 2).

a(x + c) = b(x + d)

• x = bd - ac / a - b

• x = db + gh / f - f

• x = fd - ac / s - d

• x = ac + br / d - s

• 2p(4pr + 2q + 3s)
• 2p(4pr + 2q - 3s)
• 4p(2pr + q - 3s)
• 2p(8pr + 4q - 6s)

Answer explanation

To factorize 8p^2r + 4pq - 6ps, first find the GCF, which is 2p. Factoring out 2p gives 2p(4pr + 2q - 3s). Thus, the factorized form is 2p(4pr + 2q - 3s).

Mathematical Equivalence

ON

The area of rectangle P is five times the area of rectangle Q. Find x.

Mathematical Equivalence

ON

Mathematical Equivalence

OFF

Mathematical Equivalence

ON

Match up the expressions in brackets with their factorised form

• 3(5x + 2)

• 10x + 25

• 4(x + 4)

• 15x + 6

• 4(2x + 3)

• 6x + 9

• 5(2x + 5)

• 8x + 12

• 3(2x + 3)

• 4x + 16

Make the letter in brackets the subject of the formula
c + 4t + 7a = 3s (c)