2.7 Solve linear inequalities

$8p+7=47$

$10w-5=65$

$3x+19=\mathrm{-47}$

$32=\mathrm{-4}-9n$

$7y=6y-13$

$5a+21=2a$

$k=\mathrm{-6}k-35$

$4x-\frac{3}{8}=3x$

$12x-9=3x+45$

$5n-20=\mathrm{-7}n-80$

$4u+16=\mathrm{-19}-u$

$\frac{5}{8}c-4=\frac{3}{8}c+4$

$\frac{2}{5}n-\frac{1}{10}=\frac{7}{10}$

$\frac{1}{3}x+\frac{1}{5}x=8$

$\frac{3}{4}a-\frac{1}{3}=\frac{1}{2}a-\frac{5}{6}$

$\frac{1}{2}(k-3)=\frac{1}{3}(k+16)$

$\frac{3x-2}{5}=\frac{3x+4}{8}$

$\frac{5y-1}{3}+4=\frac{\mathrm{-8}y+4}{6}$

$0.8x-0.3=0.7x+0.2$

$0.36u+2.55=0.41u+6.8$

$0.6p-1.9=0.78p+1.7$

$0.6p-1.9=0.78p+1.7$

Natalie drove for $7\frac{1}{2}$ hours at 60 miles per hour. How much distance did she travel?

Mallory is taking the bus from St. Louis to Chicago. The distance is 300 miles and the bus travels at a steady rate of 60 miles per hour. How long will the bus ride be?

Aaron’s friend drove him from Buffalo to Cleveland. The distance is 187 miles and the trip took 2.75 hours. How fast was Aaron’s friend driving?

Link rode his bike at a steady rate of 15 miles per hour for $2\frac{1}{2}$ hours. How much distance did he travel?

Use the formula. $d=rt$ to solve for t
ⓐ when $d=510$ and $r=60$
ⓑ in general

Use the formula. $d=rt$ to solve for $r$
ⓐ when when $d=451$ and $t=5.5$
ⓑ in general

Use the formula $A=\frac{1}{2}bh$ to solve for $b$
ⓐ when $A=390$ and $h=26$
ⓑ in general

Use the formula $A=\frac{1}{2}bh$ to solve for $h$
ⓐ when $A=153$ and $b=18$
ⓑ in general

Use the formula $I=Prt$ to solve for the principal, P for
ⓐ $I=\text{\$}2,501,r=4.1\%,$
$t=5\text{years}$
ⓑ in general

Solve the formula $4x+3y=6$ for y
ⓐ when $x=\mathrm{-2}$
ⓑ in general

Solve $180=a+b+c$ for $c$ .

Solve the formula $V=LWH$ for $H$ .

ⓐ $x\le 4$
ⓑ $x>-2$
ⓒ $x<1$

ⓐ $x>0$
ⓑ $x<-3$
ⓒ $x\ge \mathrm{-1}$

ⓐ $x<-1$
ⓑ $x\ge \mathrm{-2.5}$
ⓒ $x\le \frac{5}{4}$

ⓐ $x>2$
ⓑ $x\le -1.5$
ⓒ $x\ge \frac{5}{3}$

$n-12\le 23$

$m+14\le 56$

$a+\frac{2}{3}\ge \frac{7}{12}$

$b-\frac{7}{8}\ge -\frac{1}{2}$

$9x>54$

$\mathrm{-12}d\le 108$

$\frac{5}{2}j<-60$

$\frac{q}{-2}\ge -24$

$6p>15p-30$

$9h-7(h-1)\le 4h-23$

$5n-15(4-n)<10(n-6)+10n$

$\frac{3}{8}a-\frac{1}{12}a>\frac{5}{12}a+\frac{3}{4}$

Five more than z is at most 19.

Three less than c is at least 360.

Nine times n exceeds 42.

Negative two times a is no more than 8.

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

Determine whether each number is a solution to the equation $6x-3=x+20$ .

ⓐ 5
ⓑ $\frac{23}{5}$

$n-\frac{2}{3}=\frac{1}{4}$

$\frac{9}{2}c=144$

$4y-8=16$

$\mathrm{-8}x-15+9x-1=\mathrm{-21}$

$\mathrm{-15}a=120$

$\frac{2}{3}x=6$

$x-3.8=8.2$

$10y=\mathrm{-5}y-60$

$8n-2=6n-12$

$9m-2-4m-m=42-8$

$\mathrm{-5}(2x-1)=45$

$\text{−}(d-9)=23$

$\frac{1}{4}(12m-28)=6-2(3m-1)$

$2(6x-5)-8=\mathrm{-22}$

$8(3a-5)-7(4a-3)=20-3a$

$\frac{1}{4}p-\frac{1}{3}=\frac{1}{2}$

$0.1d+0.25(d+8)=4.1$

$14n-3(4n+5)=\mathrm{-9}+2(n-8)$

$9(3u-2)-4[6-8(u-1)]$ $=3(u-2)$

Solve the formula $x-2y=5$ for y
ⓐ when $x=\mathrm{-3}$
ⓑ in general

$x\ge \mathrm{-3.5}$

$x<\frac{11}{4}$

$8k\ge 5k-120$

$3c-10(c-2)<5c+16$

4 less than twice x is 16.

Fifteen more than n is at least 48.

Samuel paid $25.82 for gas this week, which was $3.47 less than he paid last week. How much had he paid last week?

Jenna bought a coat on sale for $120, which was $\frac{2}{3}$ of the original price. What was the original price of the coat?

Sean took the bus from Seattle to Boise, a distance of 506 miles. If the trip took $7\frac{2}{3}$ hours, what was the speed of the bus?