Order of Operations
Simplify Expressions
Pythagorean Theorem
Triangles
Equations
100
Simplify the following expression
3 x 4 + 7 - 2 x 2
15
100
Simplify the following expression
4y + 6 + 3y - 4 - 6y + 2
y + 4
100
c = 15m
100
Can the side lengths of a triangle be 3, 6 and 9? Justify your answer.
No, because the two shorter lengths are not longer than the third length.
100
2. What is the solution of the equation below?
17 = 3π₯ β 4
x = 7
200
Simplify the following expression
(7 + 4 x 2) - 2 + 3 x 3
22
200
Simplify the following expression
6w -12 -9w + 3w -3 + 8
-7
200
a = 6.6cm
200
The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle to be able to use it in his design.
Option 1: Side lengths: 3, 3, 6
Option 2: Side lengths: 6, 8, 10
Option 3: Side lengths: 4, 6, 13
Option 2
200
What is the solution of the equation below?
4m + 2 = -3m +16
m = 2
300
Simplify the expression
(10 - 6 + 8 % 2) x 3
24
300
Simplify the following expression
6r + 6w - 4w - 4r - 5 + 7r - w + 16
9r + w + 11
300
The bottom of a ladder must be placed 2 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? Round to the nearest tenth.
11.8 feet
300
Which of the following are triangles?
a. 4 cm, 9 cm, 15 cm
b. 2 in, 2 in, 4 in
c. 14 m, 9.4 m, 8.3 m
C
300
What is the solution of the equation below?
4π€ + 2 β π€ = 7 β 2π€
w = 1
400
7 % (4 x 2 + 9 - 10)
1
400
(-4y - 1) + (-9y - 2)
-13y - 3
400
The bases on a baseball diamond are 90 feet apart on a standard baseball field.
What is the distance, in feet, for the catcher to throw from home plate to second base? Round to the nearest tenth.
127.3 ft.
400
A triangle has two sides that are 6 feet and 17 feet. Find the values the third side must be between.
between 11 and 23
400
What is the solution of the equation below?
y/4 + 10 = β14
y = -96
500
(4 + 8 % 2 - 6) x 10
20
500
(2c + 1) + 8(-5c + 2)
-38c + 17
500
You are wrapping a gift for your teacherβs birthday. It is a very long and skinny pencil. You want to wrap it in a box so that your teacher cannot tell what shape it is. Your friend has a shoe box that measures 10 inches by 7 inches by 5 inches.
If the pencil measures 14 inches long, will it fit in the shoe box with the lid closed? Explain your answer.
No, the longest it can be is 13.2 in
500
Which of the following are Right Triangles?
a. 5, 10, 15
b. 3. 4. 5
c. 6, 8, 10
d. 7, 12, 13
b and c
500
What is the solution of the equation below?
β3(2π β 3) + 1 = β20
a = 5