Question

distributive property
5(2x - 6)
-3(x + 10)
5(-x + 7)
6(-2x + 4)
-(-6x + 15)
4(2x + 7)
-3x - 30
-5(x - 3)
3(-7x + 2)
10x - 30
-4(-5x - 1)
6x - 15
-5x + 35
8(-2x + 5)
-12x + 24
drag and drop the missing parts to match the equivalent expressions
-16x + 40
8x + 28
20x + 4
-5x + 15
-21x + 6

Explanation:

Step1: Apply distributive property to $5(2x - 6)$

$5\times2x-5\times6 = 10x - 30$

Step2: Apply distributive property to $-3(x + 10)$

$-3\times x-3\times10=-3x - 30$

Step3: Apply distributive property to $5(-x + 7)$

$5\times(-x)+5\times7=-5x + 35$

Step4: Apply distributive property to $6(-2x + 4)$

$6\times(-2x)+6\times4=-12x + 24$

Step5: Simplify $-(-6x + 15)$

$6x-15$

Step6: Apply distributive property to $4(2x + 7)$

$4\times2x+4\times7 = 8x + 28$

Step7: Apply distributive property to $-5(x - 3)$

$-5\times x-5\times(-3)=-5x + 15$

Step8: Apply distributive property to $3(-7x + 2)$

$3\times(-7x)+3\times2=-21x + 6$

Step9: Apply distributive property to $-4(-5x - 1)$

$-4\times(-5x)-4\times(-1)=20x + 4$

Step10: Apply distributive property to $8(-2x + 5)$

$8\times(-2x)+8\times5=-16x + 40$

Answer:

$5(2x - 6)$ matches $10x - 30$;
$-3(x + 10)$ matches $-3x - 30$;
$5(-x + 7)$ matches $-5x + 35$;
$6(-2x + 4)$ matches $-12x + 24$;
$-(-6x + 15)$ matches $6x - 15$;
$4(2x + 7)$ matches $8x + 28$;
$-5(x - 3)$ matches $-5x + 15$;
$3(-7x + 2)$ matches $-21x + 6$;
$-4(-5x - 1)$ matches $20x + 4$;
$8(-2x + 5)$ matches $-16x + 40$