Mathematics - Pattern Relationships

An expression is shown. 5/6 + 3/12 Which expressions have like denominators that could be used as a next step to add the two fractions?

• 10/12 + 3/12

• 20/24 + 6/24

• 5/12 + 6/12

• 5/6 + 1/4

• 5/6 + 3/6

What is the equation that represents the area of Shannon’s rectangular garden, and what is the value of the area if the garden is 18 feet wide and 27 feet long?

• g = 18 + 27; g = 45 square feet

• g = 18 × 27; g = 486 square feet

• g = 18 - 27; g = -9 square feet

• g = 18 ÷ 27; g ≈ 0.67 square feet

Shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide. One foot of the fence costs $43. The cost of the gate is $128. Which of the following expressions represents the total cost of the fence and the gate, if the total length of the fence needed (excluding the gate) is x feet?

• 43x + 128

• 43(x + 3) + 128

• 43(x - 3) + 128

• 43x + 3 + 128

Use your expression from Part B to find the total cost, in dollars, of the fence and the gate.

• $1200

• $1500

• $1800

• $2000

Which statement correctly compares two values?

• The value of the 6 in 26.495 is 1/10 the value of the 6 in 17.64.

• The value of the 6 in 26.495 is 10 times the value of the 6 in 17.64.

• The value of the 6 in 26.495 is 1/100 the value of the 6 in 17.64.

• The value of the 6 in 26.495 is 100 times the value of the 6 in 17.64.

What is the volume of the rectangular prism in cubic units? (Refer to the diagram where 1 unit cube is shown.) Enter your answer in the box.

In this right rectangular prism, each small cube measures 1 unit on each side. What is the volume of the prism?

What is the volume of a right rectangular prism if each small cube measures 1 unit on each side and the prism contains 24 small cubes?

• 12 cubic units

• 18 cubic units

• 24 cubic units

• 36 cubic units

In this right rectangular prism, each small cube measures 1 unit on each side. What would be the dimensions of a new right rectangular prism that has 20 fewer unit cubes than the original prism?

• 2 units × 3 units × 4 units

• 3 units × 4 units × 5 units

• 2 units × 2 units × 5 units

• 2 units × 5 units × 5 units

The right rectangular prism is made up of small cubes, each measuring 1 unit on each side. What are the dimensions of the new right rectangular prism?

• 2 units × 3 units × 4 units

• 1 unit × 2 units × 3 units

• 3 units × 3 units × 3 units

• 2 units × 2 units × 2 units