Equation review

A solution is...

• a variable that results in a true sentence.

• numbers expressed using exponents.

• a mathematical sentence showing two expressions are equal.

• the value for the variable in an equation.

Solve for x.

 $6\left(x+2\right)=-36$  

•  $x=-8$  

•  $x=5$  

•  $x=-4$  

•  $x=8$  

Solve for x.

 $2x-8=-8$  

•  $x=8$  

•  $x=-12$  

•  $x=-8$  

•  $x=0$  

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.

What is the solution of 3w = 30

• 6

• 9

• 10

• 12

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.

Solve  3x - 7 = 32

• 13
• -13
• 12
• -12

Solve    2x -7 = -23

• -8
• 8
• -7

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

  a(b + c ) = a(c + b)

How can 4(3 +9) be expressed using the distributive property?

• 4(3) + 4(4 + 9)

• 4(3) + 4(9)

• 4 + 9 = 9 + 4

• (4 + 3) x (4 + 9)