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?

• 6

• 3

• 2

• 1

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?

• 0.5 miles
  

• 5 miles

• 10 miles 

• 15 miles 

 $\frac{2}{3\ }+\frac{x}{3}>1$  

For what values of x is the inequality true? 

• x<1

• x>1

• x<5

• x>5

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?

• Step 1

• Step 2

• Step 3

• Step 4

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?

• 0 ≤ x ≤ 6

• 0 ≤ y ≤ 6

• 0 ≤ x ≤ 48

• 0 ≤ y ≤ 48

 $-2v\ +\ v\ =\ 3$  

• 4

• $-5$

• $-3$

• 5

Tags

CCSS.7.EE.B.4A

 $96=6\left(k+8\right)$  

•  $12$  

•  $8$  

•  $-4$  

•  $9$  

Tags

CCSS.7.EE.B.4A

10(h+1) - 4 = 76

• h=10

• h=4

• h=7

• h=76

Tags

CCSS.7.EE.B.4A

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Tags

CCSS.7.EE.B.4A

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

Tags

CCSS.7.EE.B.4A