Assess Yourself
How well do you understand the ideas in this lesson?
Goal:
Goal:
Show What You Know!
Are you ready to take this lesson's quiz? These questions will help you find out. Go back to the lesson if you do not know an answer.
Find the area:
A 10 column and 10 row grid. The first section is 5 columns in length and 5 rows in width and colored orange. The second section is 5 columns in lenght and 5 rows in width and colored blue.
- 50 sq. units
- 25 sq. units
- 30 sq. units
- 15 sq. units
This is correct! \({5 \times (5 + 5) = (5 \times 5) + (5 \times 5) = 50}\) square units.
This is incorrect. Remember the formula for area, and to use the distributive property to add the products of both areas to get the total area. \({5 \times (5 + 5) = (5 \times 5) + (5 \times 5) = 25 + 25 = 50}\) square units.
This is incorrect. Remember to add the products of both areas to get the total area. \({5 \times (5 + 5) = (5 \times 5) + (5 \times 5) = 25 + 25 = 50}\) square units.
This is incorrect. Remember you need to add the products of both areas to get the total area. \({5 \times (5 + 5) = (5 \times 5) + (5 \times 5) = 25 + 25 = 50}\) square units.
Find the area:
- 15 sq. units
- 8 sq. units
- 11 sq. units
- 9 sq. units
Great job! \({3 \times (3 + 2) = (3 \times 3) + (3 \times 2) = 15}\) square units.
This is incorrect. Remember to add the products of both areas to get the total area. \({3 \times (3 + 2) = (3 \times 3) + (3 \times 2) = 9 + 6 = 15}\) square units.
This is incorrect. Remember to add the products of both areas to get the total area. \({3 \times (3 + 2) = (3 \times 3) + (3 \times 2) = 9 + 6 = 15}\) square units.
This incorrect. Remember to add the products of both areas to get the total area. \({3 \times (3 + 2) = (3 \times 3) + (3 \times 2) = 9 + 6 = 15}\) square units.
Which multiplication sentence matches the image?
- A \({= 6 \times (7 + 6) = (6 \times 7) + (6 \times 6)}\)
- A \({= 6 \times (7 \times 6) = (6 \times 7) \times (6 \times 6)}\)
- A \({= 6 \times (7 \times 6) = 6 \times 7 + 6}\)
- A \({= 6 + (7 \times 6) = (6 + 7) \times (6 + 6)}\)
This is correct! Multiplying the sum of the lengths by the width is the same as multiplying the width by each length and then adding.
This is incorrect. Multiplying the sum of the lengths by the width is the same as multiplying the width by each length and then adding. This sentence multiplies all of the numbers.
This is incorrect. Multiplying the sum of the lengths by the width is the same as multiplying the width by each length and then adding. This sentence does not multiply the width by the length of 6.
This is incorrect. Multiplying the sum of the lengths by the width is the same as multiplying the width by each length and then adding. This sentence adds the width to the product of the lengths.
Find the area:
- 16 sq. units
- 8 sq. units
- 13 sq. units
- 12 sq. units
That is correct! \({4 \times (3 + 1) = (4 \times 3) + (4 \times 1) = 16}\) square units.
Try again. Remember to add the products of both areas to get the total area. \({4 \times (3 + 1) = (4 \times 3) + (4 \times 1) = 12 + 4 = 16}\) square units.
Try again. Remember the area formula with the distributive property, and to add the products of both areas to get the total area. \({4 \times (3 + 1) = (4 \times 3) + (4 \times 1) = 12 + 4 = 16}\) square units.
Try again. Remember to add the products of both areas to get the total area. \({4 \times (3 + 1) = (4 \times 3) + (4 \times 1) = 12 + 4 = 16}\) square units.
In which line did the first mistake occur?
An area with two sections. the first section is colored in red and the length is 4 and the width is 5. The second section length is 2 and the width is not marked is colored in blue. There are 4 lines of equations Line 1: A\({=5 \times (4 + 2)}\) Line 2: A\({=(5\times 4) + (5 \times 2)}\) Line 3: A\({=20 \times 10}\) Line 4: A\({=200}\)
- Line 1
- Line 2
- Line 3
- Line 4
This is incorrect. This is the correct placement of the values based on the formula area\({= w \times (l_{1} + l_{2})}\)
This is incorrect. This is the correct placement of the values based on the formula area\({= w \times (l_{1} + l_{2})}\)
This is correct! In this line, 20 and 10 should be added, not multiplied.
This is incorrect. While this is not the correct answer, it is the product of \({20 \times 10}\).
Joseph is making a cake for his family. He has one pan that is 8 inches by 8 inches and another that is 9 inches by 8 inches. If he wants to make one long cake, how big of an area will the cake cover?
- 52 in\({^2}\)
- 136 in\({^2}\)
- 72 in\({^2}\)
- 100 in\({^2}\)
Try again. Remember to use the area formula. Remember to use the distributive property and add the products. \({(8 \times 8) + (8 \times 9) = 64 + 72 = 136}\).
This is correct! \({(8 \times 8) + (8 \times 9) = 64 + 72 = 136}\).
Try again. Remember that \({8 \times 8 = 64}\) and \({9 \times 8 = 72}\) . Remember to use the formula that is used to solve for area. \({(8 \times 8) + (8 \times 9) = 64 + 72 = 136}\).
Try again. Remember to use the distributive property and the formula for area, and that \({8 \times 8 = 64}\) and \({9 \times 8 = 72. (8 \times 8) + (8 \times 9) = 64 + 72 = 136}\).
Find the area:
A grid with two sections the first with 4 columns and 4 rows colored blue. The second section with 6 columns and 4 rows colored red.
- 40 sq. units
- 44 sq. units
- 16 sq. units
- 24 sq. units
That is correct! \({(4 \times 4) + (4 \times 6) = 40}\) sq. units.
Try again. Remember the formula for area, and to add the products of both areas to get the total area. \({4 \times (4 + 6) = (4 \times 4) + (4 \times 6) = 16 + 24 = 40}\).
Try again. Remember to add the products of both areas to get the total area. \({4 \times (4 + 6) = (4 \times 4) + (4 \times 6) = 16 + 24 = 40}\)
Try again. Remember to add the products of both areas to get the total area. \({4 \times (4 + 6) = (4 \times 4) + (4 \times 6) = 16 + 24 = 40}\).
Lindsay is going on a camping trip and needs to bring a tarp to cover the ground under her tent. Her tent is 100 sq. units. She has two tarps that measure 7 units by 3 units and 7 units by 7 units. Will they cover the entire area under the tent?
- Yes
- No, she has only 49 sq. units.
- No, she only has 70 sq. units.
- No, she has only 80 sq. units.
This is incorrect. Remember the formula for area and to use the distributive property if needed. This is not enough to cover the area under the tent.
This is incorrect. Remember to add the products of both areas to get the total area. \({7 \times (3 + 7) = (7 \times 3) + (7 \times 7) = 21 + 49 = 70}\). This is not enough to cover the area under the tent.
This is correct! Remember to add the products of both areas to get the total area. \({7 \times (3 + 7) = (7 \times 3) + (7 \times 7) = 21 + 49 = 70}\).
This is incorrect. Remember to add the products of both areas to get the total area. \({7 \times (3 + 7) = (7 \times 3) + (7 \times 7) = 21 + 49 = 70}\). This is not enough to cover the area under the tent.
Find the area:
An area with two sections. The first section length is 4 and width is 2. It is colored pink. The second sections length is 1. Its width is not labelled it is colored orange.
- 10 square units
- 9 square units
- 7 square units
- 8 square units
That is correct! \({(2 \times 4) + (2 \times 1) = 10}\).
This is incorrect. Remember to add the products of both areas to get the total area. \({2 \times (4 + 1) = (2 \times 4) + (2 \times 1) =}\)
That is incorrect. Remember to you are finding the area of two separate shapes, so you need to add the products of both areas to get the total area.
This is incorrect. Remember the formula for area, and add the products of both areas to get the total area. \({2 \times (4 + 1) = (2 \times 4) + (2 \times 1) =}\)
Find the area:
An Area with two sections the first section has a length of 5, a width of 9 and is colored yellow . The second section has a length of 4 and is colored green .
- 81 square units
- 18 square units
- 99 square units
- 91 square units.
This is correct! \({(9 \times 5) + (9 \times 4) = 81}\).
This is incorrect. Remember to add the products of both areas to get the total area. \({9 \times (5 + 4) = (9 \times 5) + (9 \times 4) = 45 + 36 = 81}\).
This is incorrect. Remember the formula for area and what the distributive property tells you to do, and to add the products of both areas to get the total area. \({9 \times (5 + 4) = (9 \times 5) + (9 \times 4) = 45 + 36 = 81}\).
Try again. Check your numbers again. \({(9 \times 5) + (9 \times 4) = ?}\).
Summary
Questions answered correctly:
Questions answered incorrectly: