GEOMETRY
Find the perimeter of the square that measures 28m per side.
112 m
For the following right triangle shown on the board, find the side length x.
20
The measure of angle MKL is 30°. The measure of angle JKM is 55°. The measure of angle JKL is x°. Find the value of x where it is shown on the board.
x = 85
Evaluate the expression when m=33 and n=8.
m + 40/n
38
a) Evaluate the following. |7-9| - |-1|
b) Evaluate the following. 2 × 5 − 15 ÷ 3 − 5
a) 1
b) 0
The circumference of a circular field is 295.16 meters. What is the diameter of the field? Use 3.14 for π and do not round your answer.
94 m
For the following right triangle shown on the board, find the side length x. Round your answer to the nearest hundredth.
14.25
Give one pair of vertical angles and one pair of supplementary angles shown in the figure on board.
Vertical angles: ∠1 and ∠3 or ∠2 and ∠4 or ∠5 and ∠7 or ∠6 and ∠8
Supplementary angles: ∠1 and ∠2 or ∠2 and ∠3 or ∠3 and ∠4 or ∠1 and ∠4 or ∠5 and ∠6 or ∠6 and ∠7 or ∠7 and ∠8 or ∠5 and ∠8
Evaluate the expression when x = −6.
76
There are 8 green apples and 9 red apples in a basket.
(a) What is the ratio of green apples to all apples in the basket?
(b) What is the ratio of all apples in the basket to red apples?
(a) 8:17
(b) 17:9
Pedro wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 4 meters. Suppose glass costs $60 for each square meter. How much will the glass cost to replace the window?
A 10-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
9.8 m
Find the value of x in the triangle on the board.
50
There were 26 balloons at the beginning of the party. By the end of the party, m of them had popped. Using m, write an expression for the number of balloons that were left.
26 - m
(a) Write 0.2 as a percentage.
(b) Write 13.8% as a decimal.
(a) 20%
(b) 0.138
A semicircle is cut out of rectangular paperboard 33cm long and 26cm wide, as shown on the board. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)
132.82 cm
Find the area of the right triangle shown on the board.
Be sure to include the correct unit in your answer.
30 m2
In the figure on the board, angle 4 = 36°. Find angle 1, angle 2, and angle 3.
angle 1 = 144°
angle 2 = 36°
angle 3 = 144°
Translate this phrase into an algebraic expression.
55 less than twice Camila's savings.
Use the variable c to represent Camila's savings.
2c - 55
a) Solve: 7/12 - 4/9
b) Solve: 5/6 + 7/9
Write your answer as a fraction in simplest form.
a) 5/36
b) 29/18 or 1 11/18
A rose garden is formed by joining a rectangle and a semicircle, as shown on the board. The rectangle is 30m long and 20m wide. Find the area of the garden. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
757 m2
A square has a diagonal that is 42cm long. What is the area of the square? If necessary, round your answer to the nearest natural number.
882 cm2
(a) An angle measures 46°. What is the measure of its complement?
(b) An angle measures 31°. What is the measure of its supplement?
(a) The complement of 46° is 44°.
(b) The supplement of 31° is 149°.
Translate this phrase into an algebraic expression.
16 + 2n
(a) It takes 24 kilograms of seed to completely plant a 3-hectare field. How many hectares can be planted per kilogram of seed?
(b) Antonia bought 5 kilograms of sugar for $105. How many kilograms of sugar did she get per peso?
If necessary, round your answers to the nearest hundredth.
(a) 0.13 hectares per kilogram
(b) 0.05 kilograms per peso