Eureka Algebra

Determine whether the equation is true or false:

3² + 4² = 7²

• True

• False

• True

• False

Determine if x = 4 is a solution to the equation.
12 + 5x - 8 = 12x - 10

• True
• False

Determine if x = 6 is a solution to the equation.
2(3x - 4) = 3x + 1

• True
• False

What property of equality justifies why the equations (x-1)(x+3)=17+x and (x-1)(x+3)=x+17 have the same solution set?

• Distributive
• Associative
• Commutative
• None of the above, they are not equal

9y+8=9y-8

• No Solution

• One Solution

• Infinite Solution

3(x-8)=3x-24

• No Solution

• One Solution

• Infinite Solutions

6(m+3)=2(m+5)

• No solution

• One Solution

• Infinite Solutions

Identify the property used to simplify.

• Addition Property of Equality

• Subtraction Property of Equality

• Distributive Property

• Multiplication Property of Equality

• Division Property of Equality

Write the following solution in set builder notation:

y > 10

• { y > 10 }

• { y is real | y > 10 }

• { y is real | y < 10 }

• ( -0, 10 )