Order of Operations
What is the first step in solving the expression 8+2×(3+4)8+2×(3+4)?
The first step is to evaluate the expression inside the parentheses: (3 + 4 = 7).
What is volume?
Volume is the amount of space a solid figure occupies.
What operations can you use to find the volume of a rectangular prism?
You can use multiplication and addition to find the volume of a rectangular prism.
What is a composite rectangular prism?
A composite rectangular prism is made up of two or more rectangular prisms combined.
What are the coordinates of the point that is 3 units right and 2 units up from the origin?
The coordinates are (3, 2).
Solve: 5×(2+3)−45×(2+3)−4.
21
How many cubic centimeters are in a cube with side length 3 cm?
Volume of a cube with side length 3 cm: (3 \times 3 \times 3 = 27cm cubed
If a rectangular prism has dimensions of 2, 3, and 4, what is its volume?
Volume: 24
If you have a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm, what is its volume?
Volume: (2 \times 3 \times 4 = 24 \text{ cm}^3).
Plot the point (4, 5) on the coordinate plane. What are the x and y coordinates?
The x-coordinate is 4, and the y-coordinate is 5.
Evaluate the expression 2+3×(4+2)2+3×(4+2) using the order of operations.
20
Measure the volume of a rectangular prism that has a length of 5 cm, a width of 4 cm, and a height of 3 cm using unit cubes.
Volume: 60 cm^3
Explain how you can find the volume of a solid figure by packing it with unit cubes.
You can find the volume by counting how many unit cubes fit inside the solid.
How would you find the volume of a composite prism made of two prisms with dimensions 2x3x4 and 1x2x3?
To find the volume, calculate each prism's volume separately: (2 \times 3 \times 4 + 1 \times 2 \times 3 = 24 + 6 = 30 \text{ cm}^3).
If you move 2 units left and 3 units up from the point (1, 1), what are the new coordinates?
New coordinates are (-1, 4).
Solve 3×(4+5)3×(4+5).
27
If you have a box that is 2 ft long, 3 ft wide, and 1 ft high, what is its volume in cubic feet?
Volume: 6 ft^3
How is the volume formula for rectangular prisms derived from multiplication?
The volume formula (V = l times w times h) uses multiplication to find the total space inside the prism.
If a composite prism has one part with a volume of 24 cm³ and another part with a volume of 10 cm³, what is the total volume?
Total volume: 24 cm^3 + 10 cm^3 = 34 cm^3
Explain how you would identify the x-coordinate from the point (6, 2).
The x-coordinate from (6, 2) is 6.
If x=3x=3, evaluate the expression 5×(x+2)−45×(x+2)−4.
If (x = 3), evaluate: 21
Describe how you would find the volume of a solid figure made up of two non-overlapping rectangular prisms.
To find the volume of two non-overlapping rectangular prisms, calculate the volume of each prism separately and then add them together.
If you have two rectangular prisms with dimensions 2x2x2 and 3x3x3, what is the total volume when they are combined?
Total volume: (2^3 + 3^3 = 8 + 27 = 35).
Explain how to calculate the volume of a composite rectangular prism with dimensions 3 cm, 4 cm, and 5 cm on one side and 2 cm, 2 cm, and 3 cm on the other.
To calculate the volume: (3 \times 4 \times 5 + 2 \times 2 \times 3 = 60 + 12 = 72 \text{ cm}^3).
Graph the points (2, 3), (3, 4), and (4, 5) on the coordinate plane. What pattern do you notice?
The points (2, 3), (3, 4), and (4, 5) form a straight line.