Examples with solutions for Variables and Algebraic Expressions: Complete the missing numbers

Exercise #1

(a+8)(b+7)=7a+8b (a+8)(b+7)-▭=7a+8b

=? ▭=\text{?}

Video Solution

Answer

ab+56 ab+56

Exercise #2

Fill in the blank:

9a+8b+7c+bc=9a+12b+7c 9a+8b+7c+_—bc=9a+12b+7c

Video Solution

Answer

4c \frac{4}{c}

Exercise #3

+6.1x+7.4y+=4.7x0.4y △+6.1x+7.4y+☐=4.7x-0.4y

What values are possible for ☐ and △ so that the equation can be satisfied?

a. =7y \triangle=-7y
=1.4x ☐=-1.4x

b. =7.8y △=-7.8y

=1.4x ☐=-1.4x

c. =1.4x △=-1.4x

=7.8y ☐=-7.8y

d. =3.4x △=-3.4x

=7.8y+2x ☐=-7.8y+2x

Video Solution

Answer

b, c, d

Exercise #4

Fill in the gap so that the equation is satisfied:

25a+34ab+23b=a+13b+13b \frac{2}{5}a+\frac{3}{4}ab+\frac{2}{3}b=_—a+\frac{1}{3}b+\frac{1}{3}b

Video Solution

Answer

25+34b \frac{2}{5}+\frac{3}{4}b

Exercise #5

2x(23x+47y)+67x(4+)=113x2+337x+2xy 2x(\frac{2}{3}x+\frac{4}{7}y)+\frac{6}{7}x(4+☐)=1\frac{1}{3}x^2+3\frac{3}{7}x+2xy

=? ☐=\text{?}

Video Solution

Answer

y y

Exercise #6

y(?)+23(x+y)=23x+289y+5xy y(?)+\frac{2}{3}(x+y)=\frac{2}{3}x+2\frac{8}{9}y+5xy

Video Solution

Answer

229+5x 2\frac{2}{9}+5x