2.5 Prime factorization and the least common multiple  (Page 6/8)

$8,8r^2,\text{8}r,3r,r^2,3s$

$15a+9a$

$12y+3y+y$

$4x+7x+3x$

$6+5c+3$

$8n+2+4n+9$

$19p+5+4p-1+3p$

$7y^2+2y+11+3y^2-8$

$13x^2-x+6+5x^2+9x$

the difference of $x$ and $6$

the sum of $10$ and twice $a$

the product of $3n$ and $9$

the quotient of $s$ and $4$

$5$ times the sum of $y$ and $1$

$10$ less than the product of $5$ and $z$

Jack bought a sandwich and a coffee. The cost of the sandwich was $\text{\$3}$ more than the cost of the coffee. Call the cost of the coffee $c.$ Write an expression for the cost of the sandwich.

The number of poetry books on Brianna’s bookshelf is $5$ less than twice the number of novels. Call the number of novels $n.$ Write an expression for the number of poetry books.

$y+16=40$

1. ⓐ $24$
2. ⓑ $56$

$d-6=21$

1. ⓐ $15$
2. ⓑ $27$

$4n+12=36$

1. ⓐ $6$
2. ⓑ $12$

$20q-10=70$

1. ⓐ $3$
2. ⓑ $4$

$15x-5=10x+45$

1. ⓐ $2$
2. ⓑ $10$

$22p-6=18p+86$

1. ⓐ $4$
2. ⓑ $23$

$c+8=14$

$v+8=150$

$23=x+12$

$376=n+265$

$y-7=16$

$k-42=113$

$19=p-15$

$501=u-399$

The sum of $7$ and $33$ is equal to $40.$

The difference of $15$ and $3$ is equal to $12.$

The product of $4$ and $8$ is equal to $32.$

The quotient of $63$ and $9$ is equal to $7.$

Twice the difference of $n$ and $3$ gives $76.$

The sum of five times $y$ and $4$ is $89.$

Eight more than $x$ is equal to $35.$

$21$ less than $a$ is $11.$

The difference of $q$ and $18$ is $57.$

The sum of $m$ and $125$ is $240.$

$h-15=27$

$k-11=34$

$z+52=85$

$x+93=114$

$27=q+19$

$38=p+19$

$31=v-25$

$38=u-16$

$3$

$2$

$8$

$10$

$96$

$250$

$420$

$625$

$30$

$70$

$180$

$378$

$19$

$51$

$121$

$219$

$84$

$165$

$350$

$572$

$9,15$

$12,20$

$25,35$

$18,40$

Describe how you have used two topics from The Language of Algebra chapter in your life outside of your math class during the past month.

$6\cdot 4$

$15-x$

$5\cdot 8+10$

$x+6=9$

$3\cdot 11=33$

1. ⓐ Write $n\cdot n\cdot n\cdot n\cdot n\cdot n$ in exponential form.
2. ⓑ Write $3^5$ in expanded form and then simplify.

$4+3\cdot 5$

$(8+1)\cdot 4$

$1+6(3-1)$

$(8+4)÷3+1$

${(1+4)}^2$

$5[2+7(9-8)]$

$8x-3\text{when}x=4$

$y^3\text{when}y=5$

$6a-2b\text{when}a=5,b=7$

$hw\text{when}h=12,w=3$

Simplify by combining like terms.

1. ⓐ $6x+8x$
2. ⓑ $9m+10+m+3$

$5$ more than $x$

the quotient of $12$ and $y$

three times the difference of $a\text{and}b$

Caroline has $3$ fewer earrings on her left ear than on her right ear. Call the number of earrings on her right ear, $r.$ Write an expression for the number of earrings on her left ear.

$n-6=25$

$x+58=71$

$15$ less than $y$ is $32.$

the sum of $a$ and $129$ is $164.$

List all the multiples of $4,$ that are less than $50.$

Find all the factors of $90.$

Find the prime factorization of $1080.$

Find the LCM (Least Common Multiple) of $24$ and $40.$