Linear Equations Test

Question 0

A pair of congruent angles are described as follows
Measure one angle is three more than twice the number and the other angle measures 54 1/2 less then three times the number determine the size of the angles

Answer 0

3+2x=3x-54.5
X=57.5
118=118

Question 1

The measure of one angle is described as 12 more than four times the number it’s supplement is twice as large find the measure of each angle

Answer 1

12+4x=180
X=12
angle A= 60
Angle B=120

Question 2

A Triangle has angles described as follows
The measure of the first is four more than seven times the number. The second angles four less than the first image of the third angle is twice as large as the first. What is the measure of each angle?

Answer 2

4+7(6)
Angle A=46
2(4+7(6))
Angle C=92
Angle B=42
?
X=6

Question 3

What angle measures nine more than six times number. The sequence a rigid motions maps the angle onto another angle that is described as being three less than nine times the number what is the measure of the angle?

Answer 3

6x+9=9x-30
X=13
Angle A=87
Angle B= 87

Question 4

A right triangle is described as having an angle of measure six less than -2 times a number another angle measures that is three less than one fourth the number in the right angle what are the measures of the angles?

Answer 4

-2x-6 1/4x-3 90 degree
Angle A=82 Angle B=8 Angle C=90
x=-44

Question 5

What angle is the one less than six times measure of another the two angles are complementary angles find the measure of each angle.

Answer 5

Angle A=13
Angle B=77
6x-1=90
x=13

Question 6

The measure of one angle is 13 less than five times measure of another angle the sum of the measures of the two angles is 140 determine the measure of each angle

Answer 6

x+(5x+17)=140
x=25 1/2
Angle A=25.5
Angle B=114.5

Question 7

Angle measures 17 more than three times a number it’s supplement is three more than seven times the number what is the measure of each angle

Answer 7

(3x+17)+(7x+3)=180
x=16
Angle A=65
Angle B=115

Question 8

The angles of a triangle are described as follows angle A is the largest angle it’s measure is twice the measure of angle B the measure of angle C is two less than half of the measure of angle B find the measures of the three girls

Answer 8

x+2x+X/2-2=180
x=52
Angle A=104
Angle B=52 
Angle C=24

Question 9

A pair of corresponding angles are described as follows the measure one angle is five less than seven times a number and a measure of another angle is eight more than seven times the number are the angles congruent why or why not

Answer 9

(7x-5)=(4x+11)

No. Not congruent because if you substitute any number for X you’ll not get the same number on both sides

Question 10

The measure one angles 11 more than four times a number another angle is twice the first singles measure the sum of the angles measures are 195 what is the measure of each angle

Answer 10

4x+11+2(4x+11) 
x=13.5
Angle A=76
Angle B=38
Angle C=75

Question 11

Three angles are described as follows angle B is half the size of Angle A The measure of angle C is equal to one less than two times the measure of Angle B. The sum of Angle A and Angle B is 114. Can the three angles form a triangle? Why or why not?

Answer 11

x+x/2=114 c=2(x/2)

No.