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Angles
1-Variable Algebra
Systems of Equations
Patterns
Congruency
100
Four different types of angles (defined by measure).
What are acute, obtuse, right, and straight?
100
Solve for x if 5x + 10 = 40.
x = 6
100
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
5 multiple choice problems 15 true/false questions
100
A general conclusion or statement from observations of repeated patterns or specific examples. This may or may not be true.
What is a conjecture?
100
Has the exact same size, value, or measure.
What does it mean to be congruent?
200
Angle MEF = 90 degrees. It is split into two smaller angles, MEC and CEF. Ray EC is shared between angles MEC and CEF. If angle MEC is 43 degrees, what is the measure of angle CEF?
Measure of angle CEF = 47 degrees.
200
Solve for y if: 2y - 4 = 12
y = 8
200
Maggie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Maggie spend on each dog for food and medication?
$20 for each cat $40 for each dog
200
This is used in inductive reasoning to verify whether or not a conjecture is true.
What is a counterexample?
200
How do we distinguish if two angles are congruent?
Arcs, exact measures, congruency statements
300
What are different types of angle pairs, and how are they defined?
Adjacent angles, Vertical angles, Complementary angles , Supplementary angles
300
Rachel bought 10 notebooks and 5 pens. Notebooks cost 4 dollars each, and pens are 1 dollar. How much was Rachel's total bill at checkout? How much was her total cost of notebooks? Of pens?
$45 total. Notebooks = $40 Pens = $5
300
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
1500 children and 700 adults
300
A new cookbook is becoming popular. The local bookstore ordered 4 copies in January, 12 copies in February, 36 copies in March, and 108 copies in April. If this pattern continues, how many copies will the bookstore order in May?
324
300
What conditions must be met to use the Hypotenuse Leg Theorem to show that two right triangles are congruent?
1. The triangles have congruent hypotenuses 2. There is one pair of congruent legs 3. There are two right triangles
400
Angle DEF is a straight angle that is made up of two smaller angles, DEC and CEF. DEC and CEF share ray EC. If the measure of angle DEC = (2x + 7) and the measure of angle CEF = (3x + 3), what is the exact measure of angles DEC and CEF?
Angle DEC = 75 and angle CEF = 105.
400
60 is 20% of what number?
300
400
A local high school's marching band sold gift wrap to earn money for a band trip to Orlando, Florida .The gift wrap in solid colors sold for $4.00 per roll ,and the print gift wrap sold for $6.00 per roll.The total number of rolls sold was 480, and the total amount of money collected was $2340. How many rolls of each of each kind of gift wrap were sold?
Solid = 270 rolls Print = 210 rolls
400
A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 7 cupcakes on the third tray, and 11 cupcakes on the fourth tray. If this pattern continues, how many cupcakes will the baker put on the fifth tray?
16
400
See the image.
x = 2 y = 2 hypotenuse = 7
500
Angle JKM = 170 degrees. It is made up of three angles, JKL, LKS, and SKM. Angles JKL and LKS share ray KL. Angles LKS and SKM share ray KS. If angle JKL = (5x + 10) and angle LKS = (2x - 5) and angle SKM = (3x - 5), what are the exact measures of angles JKL, LKS, and SKM?
Angle JKL = 95 degrees, angle LKS = 29 degrees, and angle SKM = 46 degrees.
500
Find a number which decreased by 18 is 5 times its opposite.
3
500
The sum of two angles' measures is 74 degrees. Angle 2 is 141 degrees smaller than 4 times angle 1. What are the measures of the two angles in degrees?
Angle 1 = 43 Angle 2 = 31
500
The sum of the interior angles of a triangle is 180º, of a quadrilateral is 360º and of a pentagon is 540º. Assuming this pattern continues, find the sum of the interior angles of a dodecagon (12 sides). Hint: Think about the number of terms in the sequence, and number of sides in the figure.
(n-2)180 = 1800
500
If triangle ABC has leg AB = 6 and leg BC = 14, what is the length of its hypotenuse, AC?
232