Extended Distributive Property: Solving an equation using the extended distributive law

Solving the problem Using a rectangle Distributive property in geometry Using additional geometric shapes Ascertain whether the law of distributive property is applicable Is the equality correct?Using variables Matching expressions equal in value Complete the missing number Applying the formula

Question 1

Solve the following equation using the distributive property:

$\( (5-x)(6+2x)=-2+4x \)$

Question 2

Solve the equation using the distributive property:

$\( (3x+4)(x+2)=3x^2+2 \)$

Question 3

Solve the equation using the distributive property:

$\( (8x+9)(5-x)=31x+94 \)$

Question 4

Solve the equation using the extended distributive law. Find the relationship between a and x.

$\( (2x+a)(a-4)=2ax+a^2-5 \)$

Question 5

Solve the equation using the extended distributive law. Express a in terms of x.

$(2x+a)(5-x)=(\frac{1}{2}x+5)(-4+2x)-3x^2+2x$

Examples with solutions for Extended Distributive Property: Solving an equation using the extended distributive law

Exercise #1

Solve the following equation using the distributive property:

$(5-x)(6+2x)=-2+4x$

Video Solution

Answer

$x=±4$

Exercise #2

Solve the equation using the distributive property:

$(3x+4)(x+2)=3x^2+2$

Video Solution

Answer

$-0.6$

Exercise #3

Solve the equation using the distributive property:

$(8x+9)(5-x)=31x+94$

Video Solution

Answer

There is no solution to the equation.

Exercise #4

Solve the equation using the extended distributive law. Find the relationship between a and x.

$(2x+a)(a-4)=2ax+a^2-5$

Video Solution

Answer

$a=1\frac{1}{4}-2x$

Exercise #5

Solve the equation using the extended distributive law. Express a in terms of x.

$(2x+a)(5-x)=(\frac{1}{2}x+5)(-4+2x)-3x^2+2x$

Video Solution

Answer

$a=\frac{20}{x-5}$