Equations in Geometry (Determining Value of Variable-x)

Multiple Choice

BELL-RINGER QUESTION

Emily sells greeting cards.  The graph models the linear relationship between the number of boxes of cards she sells and her profit.  Which of these best describes the profit Emily makes from selling these cards?

• $7.50 per box

• $10.00 per box

• $4.00 per 30 boxes

• $3.00 per 4 boxes

Multiple Choice

PARTNER PRACTICE

1. Displayed is the student work for solving an equation of angle pairs. It was solved correctly algebraically, but it has the wrong solution. Determine the correct statement for solving the problem.

• The angle pairs should be equal to each other because they form vertical angles.

• The angle pairs are supplementary and should equal 90°.

• The angle pairs are complementary and should equal 180°.

• The angle pairs should be equal to each other because they form right angles.

Multiple Choice

PARTNER PRACTICE

2. Displayed is the student work for solving an equation of angle pairs. It was solved correctly algebraically, but it has the wrong solution. Determine the correct statement for solving the problem.

• The angle pairs are vertical angles and should be equal.

• The angle pairs are supplementary and should equal 180°.

• The angle pairs are complementary and should equal 90°.

• The angle pairs are linear and should equal 90°.

Multiple Choice

PARTNER PRACTICE

3. Displayed is the student work for solving an equation of angle pairs. Determine which statement is NOT correct for solving the problem.

• Like terms were multiplied together instead of added together.

• The angle pairs form a complementary angles and should equal 90°.

• The constant was not moved by inverse operation.

• The angle pairs form supplementary angles and should equal 180°.

Math Response

PARTNER PRACTICE

4. Write an equation for determining the value of variable-x for the given problem as the angle measures are displayed, in simplest form.

Type answer here

Correct Answer: 25x+30=180

Deg^°

Rad

Math Response

PARTNER PRACTICE

5. Determine the value of variable-x for the given triangle displayed.

Type answer here

Correct Answer: 25.5

Deg^°

Rad

Math Response

PARTNER PRACTICE

6. Determine the smallest angle measure for the quadrilateral displayed by solving for the value of variable-x.

Type answer here

Correct Answer: 79

Deg^°

Rad

Math Response

PARTNER PRACTICE

7. If the perimeter of the square displayed is 112 inches, determine the value of variable-x.

Type answer here

Correct Answer: 25

Deg^°

Rad

Math Response

PARTNER PRACTICE

8. If the perimeter of both rectangles are equal, determine the value of variable-x.

Type answer here

Correct Answer: 0.2

Deg^°

Rad

Multiple Choice

Exit Ticket - 01/28 TEK: 8.8C

The perimeter of the triangle shown is 17x units.  The dimensions of the triangle are given in units.

Which equation can be used to find the value of x?

• 17x = 30 + 7x

• 17x = 15 + 22x

• 17x = 7 + 30x

• 17x = 22 + 15x