EOC Review (Properties for Solving & Solving Quadratics)

Which property was incorrectly used when going from Step 2 to Step 3?

• Addition Property

• Distributive Property

• Substitution Property

• Transitive Property

Tags

CCSS.HSA.REI.A.1

Hannah is solving the equation $4\left(x-3\right)=16$ . Her first step shows  $4x-12=16$ .

Which step could be the next step. Select all that apply.

•  $4x-12+12=16+12$  

•  $4x-12-\left(-12\right)=16-\left(-12\right)$  

•  $4\left(4x-12\right)=4\left(16\right)$  

•  $\frac{4x}{4}-12=\frac{16}{4}$  

•  $4\cdot\left(4x-12\right)=16\cdot4$  

Tags

CCSS.HSA.REI.A.1

Use the properties to justify the reason for "Drop Down 1" in the chart.

• Addition Property of Equality

• Distributive Property

• Multiplication Property of Equality

Tags

CCSS.HSA.REI.A.1

Use the properties to justify the reason for "Drop Down 2" in the chart.

• Multiplication Property of Equality

• Transitive Property

• Subtraction Property of Equality

Tags

CCSS.HSA.REI.A.1

Use the properties to justify the reason for "Drop Down 3" in the chart.

• Division Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality

Tags

CCSS.HSA.REI.A.1

There are two solutions to the quadratic equation $2x^2-3x-5=0$ . One solution is x = 2.5. Find the other solution.

Tags

CCSS.HSA-REI.B.4B

Which of the following statements is true about the equation below? Select all that apply.
 $x^2+24x+144=0$  

• There is one solution.

• The solution is positive.

• The solutions are infinite.

• The solution is  $x=-12$ .

• The factored expression is  $\left(x+12\right)\left(x-12\right)$  

Tags

CCSS.HSA-REI.B.4B

 $x^2-12x=-10$  

What number needs to be added to both sides of the equation below in order to solve by completing the square?

• 6

• 10

• 36

• 144

Tags

CCSS.HSA-REI.B.4B

Determine which of the following are solutions for the following quadratic equation:
 $x^2-8x-20=0$ 

•  $x=10,\ x\ =\ 2$  

•  $x=-10,\ x=2$  

•  $x=10,\ x=-2$  

•  $x=-10,\ x=-2$  

Tags

CCSS.HSA-REI.B.4B

Determine which of the following are solutions for quadratic equation below. Select all that apply.
 $x^2+4x-12=0$ 

• -2

• -6

• 2

• 6

• 12

Tags

CCSS.HSA-REI.B.4B