Lesson Worksheet: Multiplying Binomials Mathematics • 9th Grade

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

Q1:

Expand the product (𝑥+4)(𝑥+6).

  • A𝑥+24
  • B𝑥+10𝑥
  • C11𝑥+24
  • D𝑥+10𝑥+24
  • E𝑥+34𝑥

Q2:

Expand the product (2𝑥+1)(3𝑥−2).

  • A6𝑥+𝑥−2
  • B6𝑥−𝑥−2
  • C7𝑥−2
  • D6𝑥−𝑥+2
  • E6𝑥−2

Q3:

If (4𝑦−3)(5𝑦+6)=20𝑦+𝑘𝑦−18, what is the value of 𝑘?

Q4:

Simplify 3𝑎−22𝑎+4.

  • A6𝑎−12𝑎−4𝑎−8
  • B6𝑎−12𝑎+4𝑎−8
  • C6𝑎+12𝑎−4𝑎+8
  • D6𝑎+12𝑎−4𝑎−8
  • E6𝑎+12𝑎+4𝑎−8

Q5:

Find 𝐴𝐵 given that 𝐴=3𝑎+5 and 𝐵=2𝑎+6.

  • A6𝑎+28𝑎+30
  • B6𝑎−28𝑎+30
  • C6𝑎+26𝑎+30
  • D6𝑎+28𝑎−30
  • E6𝑎−28𝑎−30

Q6:

Expand the product (2𝑚+𝑛)(2𝑚−𝑛).

  • A4𝑚−2𝑚𝑛+𝑛
  • B4𝑚+𝑛
  • C4𝑚−𝑛
  • D4𝑚+2𝑚𝑛+𝑛
  • E4𝑚+2𝑚𝑛−𝑛

Q7:

Expand and simplify (𝑥+2)(𝑥+2).

  • A𝑥−4𝑥+4
  • B𝑥+4
  • C𝑥+4𝑥+4
  • D−𝑥+4
  • E𝑥+4𝑥−4

Q8:

If 𝑥+9𝑦=15 and 𝑥𝑦=2, what is the value of (𝑥−3𝑦)?

Q9:

Find the area of a rectangle that has a width of 𝑥−5𝑦 cm and a length of 𝑥+4𝑦 cm.

  • A𝑥+𝑥𝑦−20𝑦 cm2
  • B𝑥−9𝑥𝑦−20𝑦 cm2
  • C𝑥−𝑥𝑦−20𝑦 cm2
  • D𝑥+9𝑥𝑦−20𝑦 cm2
  • E𝑥−𝑥𝑦+20𝑦 cm2

Q10:

If a triangular plot of land has a base of (2𝑥+2) m and a height of (−𝑥+5) m, which of the following expressions represents the area of the plot of land?

  • A−2𝑥+8𝑥+10 m2
  • B−𝑥+4𝑥+5 m2
  • C2𝑥+12𝑥+10 m2
  • D−2𝑥+12𝑥+10 m2
  • E𝑥+6𝑥+5 m2

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