Algebra I EOC: Unit 2 Linear Equations & Inequalities

This equation can be used to find h, the number of hours it will take Flo and Bryan to mow their lawn.  $\frac{h}{3}+\frac{h}{6}=1$   How many hours will it take them to mow their lawn?

A ferry boat carries passengers back and forth between two communities on the Peachville River.

 • It takes 30 minutes longer for the ferry to make the trip upstream than downstream. 

• The ferry’s average speed in still water is 15 miles per hour. 

• The river’s current is usually 5 miles per hour. 

This equation can be used to determine how many miles apart the two communities are. 

 $\frac{m}{15-5}=\frac{m}{15+5}+0.5$  

What is m, the distance between the two communities?

 $\frac{2}{3\ }+\frac{x}{3}>1$  

For what values of x is the inequality true? 

Look at the steps used when solving 3(x – 2) = 3 for x.

3(x – 2) = 3 (Write the original equation).

3x – 6 = 3 (Use the Distributive Property).

3x – 6 + 6 = 3 + 6 (Step 1)

3x = 9 (Step 2)

3x ___ 3 = 9__ 3 (Step 3)

x = 3 (Step 4)

Which step is the result of combining like terms?

A wild horse runs at a rate of 8 miles an hour for 6 hours. Let y be the distance, in miles, the horse travels for a given amount of time, x, in hours. This situation can be modeled by a function.

Which of these describes the domain of the function?

 $-2v\ +\ v\ =\ 3$  

 $96=6\left(k+8\right)$  

10(h+1) - 4 = 76