Lesson Worksheet: Multiplying Binomials Mathematics • 9th Grade

In this worksheet, we will practice multiplying two binomials using different methods such as FOIL or the vertical method.

Q1:

Expand the product (π‘₯+4)(π‘₯+6).

  • Aπ‘₯+24
  • Bπ‘₯+10π‘₯
  • C11π‘₯+24
  • Dπ‘₯+10π‘₯+24
  • Eπ‘₯+34π‘₯

Q2:

Expand the product (2π‘₯+1)(3π‘₯βˆ’2).

  • A6π‘₯+π‘₯βˆ’2
  • B6π‘₯βˆ’π‘₯βˆ’2
  • C7π‘₯βˆ’2
  • D6π‘₯βˆ’π‘₯+2
  • E6π‘₯βˆ’2

Q3:

If (4π‘¦βˆ’3)(5𝑦+6)=20𝑦+π‘˜π‘¦βˆ’18, what is the value of π‘˜?

Q4:

Simplify ο€Ή3π‘Žβˆ’22π‘Ž+4ο…οŠ©οŠ¨.

  • A6π‘Žβˆ’12π‘Žβˆ’4π‘Žβˆ’8
  • B6π‘Žβˆ’12π‘Ž+4π‘Žβˆ’8
  • C6π‘Ž+12π‘Žβˆ’4π‘Ž+8
  • D6π‘Ž+12π‘Žβˆ’4π‘Žβˆ’8
  • E6π‘Ž+12π‘Ž+4π‘Žβˆ’8

Q5:

Find 𝐴𝐡 given that 𝐴=3π‘Ž+5 and 𝐡=2π‘Ž+6.

  • A6π‘Ž+28π‘Ž+30οŠͺ
  • B6π‘Žβˆ’28π‘Ž+30οŠͺ
  • C6π‘Ž+26π‘Ž+30οŠͺ
  • D6π‘Ž+28π‘Žβˆ’30οŠͺ
  • E6π‘Žβˆ’28π‘Žβˆ’30οŠͺ

Q6:

Expand the product (2π‘š+𝑛)(2π‘šβˆ’π‘›).

  • A4π‘šβˆ’2π‘šπ‘›+π‘›οŠ¨οŠ¨
  • B4π‘š+π‘›οŠ¨οŠ¨
  • C4π‘šβˆ’π‘›οŠ¨οŠ¨
  • D4π‘š+2π‘šπ‘›+π‘›οŠ¨οŠ¨
  • E4π‘š+2π‘šπ‘›βˆ’π‘›οŠ¨οŠ¨

Q7:

Expand and simplify (π‘₯+2)(π‘₯+2).

  • Aπ‘₯βˆ’4π‘₯+4
  • Bπ‘₯+4
  • Cπ‘₯+4π‘₯+4
  • Dβˆ’π‘₯+4
  • Eπ‘₯+4π‘₯βˆ’4

Q8:

If π‘₯+9𝑦=15 and π‘₯𝑦=2, what is the value of (π‘₯βˆ’3𝑦)?

Q9:

Find the area of a rectangle that has a width of π‘₯βˆ’5𝑦 cm and a length of π‘₯+4𝑦 cm.

  • Aο€Ήπ‘₯+π‘₯π‘¦βˆ’20π‘¦ο…οŠ¨οŠ¨ cm2
  • Bο€Ήπ‘₯βˆ’9π‘₯π‘¦βˆ’20π‘¦ο…οŠ¨οŠ¨ cm2
  • Cο€Ήπ‘₯βˆ’π‘₯π‘¦βˆ’20π‘¦ο…οŠ¨οŠ¨ cm2
  • Dο€Ήπ‘₯+9π‘₯π‘¦βˆ’20π‘¦ο…οŠ¨οŠ¨ cm2
  • Eο€Ήπ‘₯βˆ’π‘₯𝑦+20π‘¦ο…οŠ¨οŠ¨ cm2

Q10:

If a triangular plot of land has a base of (2π‘₯+2) m and a height of (βˆ’π‘₯+5) m, which of the following expressions represents the area of the plot of land?

  • Aο€Ήβˆ’2π‘₯+8π‘₯+10ο…οŠ¨ m2
  • Bο€Ήβˆ’π‘₯+4π‘₯+5ο…οŠ¨ m2
  • Cο€Ή2π‘₯+12π‘₯+10ο…οŠ¨ m2
  • Dο€Ήβˆ’2π‘₯+12π‘₯+10ο…οŠ¨ m2
  • Eο€Ήπ‘₯+6π‘₯+5ο…οŠ¨ m2

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