Beginning Algebra, 11th Edition

CHAPTER 2 Review Exercises^167

Step 3 Write an equation.

Combine like terms.

t= 2 Divide by 105.

105 t= 210

45 t+ 60 t= 210

CONCEPTS EXAMPLES

Rate Time Distance

One Car 45 t 45 t

Other Car 60 t 60 t

The sum of the

distances is 210 mi.

Step 4 Solve the equation.

Steps 5 State the answer and check the solution.
and 6

It will take them 2 hr to be 210 mi apart.

4.5 Solving Systems of Linear Inequalities

Step 1 Simplify each side separately.

Step 2 Isolate the variable term on one side.

Step 3 Isolate the variable.

Be sure to reverse the direction of the inequality symbol
when multiplying or dividing by a negative number.

To solve a three-part inequality such as

work with all three expressions at the same time.

462 x+ 66 8,

Solve the inequality, and graph the solution set.

Clear parentheses.

Combine like terms.

Subtract 8.

Combine like terms.

Divide by

Change to.

Solution set:

Solve.

Subtract 6.

Divide by 2.

Solution set: 1 - 1, 1 2

• 16 x 61

- 2

2

6

2 x

2

6

2

2

• 26 2 x 62

4 - 662 x+ 6 - 668 - 6

46 2 x+ 6 68

–2 –1 0 1 2

1 - q, 1 2

x 61

7 6

• 
  
  
  
  5. 
     
  
  
  
  


• 5 x


• 5

6

- 5

- 5

• 5 x7- 5

8 - 5 x- 873 - 8

8 - 5 x 73

3 - 3 x+ 5 - 2 x 79 - 6

311 - x 2 + 5 - 2 x 79 - 6

REVIEW EXERCISES

CHAPTER 2

2.1–2.3 Solve each equation.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 
    
    
    
    11. 
        
        
        
        12. 12 m+ 11 = 59
        
        
        
        
    
    
    
    

5

8

q= 8

x

12

=- 1

7 x= 35 12 r=- 48 2 p- 7 p+ 8 p= 15

5 z= 4 z+ 14 r- 22 - 13 r+ 12 = 8 312 x- 52 = 2 + 5 x

2

3

x- 5 = 1 x+ 8 =- 4 3 t+ 1 = 2 t+ 8