OA.2 Interpret numerical expression
Evaluate: 18 − 3 × 4.
6
Pattern A starts at 0 and adds 2. Pattern B starts at 0 and adds 5. Give the next three numbers in each pattern after 0.
A: 2, 4, 6. B: 5, 10, 15.
What ordered pair names the origin?
(0, 0)
Find 32 × 12.
384
A rectangular prism has 12 unit cubes in each layer and 4 layers. What is its volume?
48 cubic units
Evaluate: (18 − 3) × 4.
60
Pattern A is 0, 3, 6, 9, 12. Pattern B is 0, 6, 12, 18, 24. How are corresponding terms related
?Each term in B is twice the corresponding term in A.
Starting at the origin, you move 4 units right and 7 units up. What point do you reach?
(4,7)
Find 124 × 13.
1,612
A rectangular prism is 6 cm long, 3 cm wide, and 4 cm high. What is its volume?72 cm³
72 cm³
Write an expression for “Add 8 and 7, then multiply the sum by 3.”
(8+7)x3 or 3 × (8 + 7)
Pattern A is 2, 4, 6, 8. Pattern B is 3, 6, 9, 12. Write the ordered pairs using A as x and B as y
.(2, 3), (4, 6), (6, 9), (8, 12)
A point is at (3, 8). How far is it from the y-axis? How far is it from the x-axis?
3 units from the y-axis; 8 units from the x-axis.
When solving 243 × 26, what partial product comes from multiplying 243 by the 2 tens?
4,860, because 243 × 20 = 4,860.
A prism has a base area of 20 square inches and a height of 7 inches. What is its volume?
140 in³
Without calculating, explain how 4 × (12 + 6) relates to 12 + 6.
It is 4 times as much
Two patterns start at 0. A adds 4 each time, and B adds 12 each time. When A reaches 20, what is the corresponding value in B?
60
The school is at (7, 4). The library is at (5, 7). Describe a path from the school to the library using horizontal and vertical moves.
Move 2 units left and 3 units up, in either order.
Find 306 × 24.
7,344
A prism has a volume of 120 cm³. Its length is 5 cm and its width is 4 cm. What is its height?
6 cm
There are 5 bags. Each bag contains 6 red marbles and 4 blue marbles. Write and evaluate an expression for the total number of marbles.
5x(6+4)=50
Mia saves $3 each week, starting with $0. Write the points for weeks 0, 1, 2, and 3 using (week, total saved).
(0, 0), (1, 3), (2, 6), (3, 9)
A rectangle has consecutive vertices A(2, 2), B(8, 2), C(8, 6), and D. What are D’s coordinates?
(2, 6)
A school orders 18 boxes of pencils. Each box contains 125 pencils. How many pencils are ordered?
2,250 pencils
Prism A measures 6 × 4 × 3 units. Prism B measures 8 × 3 × 3 units. Which has the greater volume? Explain.
They have equal volumes: 72 cubic units each.
Which expression equals 7 × (20 + 3): 7 × 20 + 3 or 7 × 20 + 7 × 3? Name the property.
7 × 20 + 7 × 3? Distributive property
Both patterns start at 0. A adds 2 each time, and B adds 6 each time. Plot the first four corresponding pairs, including (0, 0). Describe their arrangement.
(0, 0), (2, 6), (4, 12), (6, 18). They lie on a straight line rising to the right.
Plot A(1, 1), B(5, 1), C(5, 5), and D(1, 5). Connect them in order and return to A. What figure forms? Explain.
A square: four equal sides and four right angles.
A student solves 214 × 32 by adding 428 + 642 and gets 1,070. Explain the mistake and give the correct product.
The 3 represents 30, so the second partial product should be 6,420. The correct product is 6,848.
Two rectangular prisms join without overlapping. One measures 4 × 3 × 2 cm. The other measures 2 × 3 × 5 cm. What is their combined volume?
54 cm³: 24 + 30.
Place parentheses in 24 ÷ 4 + 2 to make its value 4.
24 ÷ (4 + 2) = 4
Ava saves $4 weekly and Ben saves $6 weekly. Both start with $0. After how many weeks will Ben have saved $10 more than Ava?
5 weeks: Ava has $20 and Ben has $30.
A student says that (2, 7) and (7, 2) name the same location. Explain the error.
The coordinate order matters. (2, 7) means right 2, up 7; (7, 2) means right 7, up 2.
Find 487 × 36.
17,532
A step-shaped solid consists of a bottom prism measuring 8 × 3 × 2 ft and an upper prism measuring 3 × 3 × 4 ft. They touch without overlapping. What is the total volume?
84 ft³: 48 + 36.
A student says 36 − 12 ÷ 3 equals 8. Explain the mistake and give the correct answer.
The student subtracted first. Divide first: 12 ÷ 3 = 4; 36 − 4 = 32.
Leo starts with 12 points and earns 3 points each round. Maya starts with 0 and earns 5 points each round. What is the first whole-number round when Maya has more points?
Round 7: Leo has 33 points and Maya has 35. At round 6, both have 30.
A parallelogram has consecutive vertices A(1, 1), B(5, 1), C(7, 4), and D. What are D’s coordinates?
(3, 4). From B to C is right 2 and up 3; the same move takes A to D.
A theater has 48 rows with 236 seats in each row. How many seats are there?
11,328 seats
Prism A has a base area of 24 square units and a height of 3 units. Prism B has half that base area. What whole-number heights less than 10 would make Prism B’s volume greater than Prism A’s?
7, 8, or 9 units. Prism A’s volume is 72; Prism B’s base area is 12, so its height must exceed 6.