Foundations of Algebra Solving Equations

4(k + 7)

• 4k + 28

• 4k - 28

• -4k + 28

• 4k - 28

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Which equation has w = 8 as the solution?

• 8w= 64

• 16w = 240

• 16 - w = 9

• 4 + w = 10

Solve the equation:
x - 4 = -3

• x = -7

• x = 1

• x = 12

• x = -12

how would you solve this equation: 9x=153?

• multiply

• divide

• add

• subtract

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

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of infinite solutions or All Real Numbers?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only ONE solution will make the equation true

Simplify by combining like terms: 7v + 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 14