Algebra 1A Final Exam (Fall 2021) : Good Luck!

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Solve for a:

-3a + 8 = 14

• a = -2

• a = -7.5

• a = 2

• a = 6

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Solve for x:

7(2x - 4) = 42

• x = 5

• x = 8

• x = 2

• x = 9

Solve for b:
-11 + 3(b + 5) = 7

• b = 1
• b = -1
• b = 3
• b = -3

x/12 = - 2

• 6
• - 6
• 24
• - 24

2x + 3(5x - 7) = 47

• 1
• 2
• 3
• 4

What is the goal when solving algebraic equations?

• to get the answer

• to isolate the variable (get the variable by itself)

• to get rid of the equal sign

• to divide

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Solve for x.

• x = 21
• x = 7
• x = −21
• x = 4