Unit 1
Expressions, Equations & Volume
Expressions, Equations & Volume
This term means a mathematical phrase that can contain numbers, operations, and/or variables but does not include an equals sign.
Expression
Add:
2 5/6 +/8
2 20⁄24 + 3⁄24 = 2 23⁄24
234 × 86
20,124
Solve and write it in the simplest term:
21 × 5/7 =
105/7 = 15
Solve:
896 ÷ 32
28
Write a numerical expression to represent each statement below.
To find 27 × 9, I find 27 times 10 and remove 1 group of 27.
(27 × 10) – (1 × 27)
Find the following:
1/3 × 24
8
True or False:
301 × 35 = 7,492 ÷ 4
False
Laura has a toy robot collection. 4 7 of her 28 robots make noise. How many of Laura’s robots make noise?
16 Robots make noise
If it takes 1/3 of a can of frosting to cover a small cake, how many small cakes can you frost with 4 cans of frosting?
You can frost 12 cakes
A box is 3 feet long, 2 feet wide, and 4 feet high. If another box is twice as tall but the same length and width, this is the new volume.
96 cubic feet
Subtract:
1 2/5 − 6/10 = _____
14⁄10 – 6⁄10 = 8⁄10 or 4⁄5
1/4 of 36 is _______, so 25 × 36 = _______
1/4 of 36 is 9, so 25 × 36 = 900
Solve and write it in the simplest term:
72 × 3/8 =
216⁄8, 108⁄4, 54⁄2, or 27
Solve:
0.57 × 102 =
57
Fill in the blanks to make each set of equations true.
_____ × 24 = 18 × 12 = _____
9 x 24 = 18 x 12 = 216
Sasha ran 2/3 of a 27 km race before she stopped to walk. How many kilometers had she run at that point?
Sasha had run 18 km when she stopped to walk.
2,323 ÷ 23 = ________
101
There is/3 of a pan of cornbread left. Four children are going to share it equally. What fraction of the whole pan of cornbread will each child get?
Each child will get 1/12 of the whole pan of cornbread.
Solve:
2.58 ÷ 0.10
25.8
A crate to ship boxes of baseballs can hold 4 boxes that are each (6 × 6) × 2. How many baseballs can be shipped in the crate, if each baseball takes a 1 × 1 × 1 space?
The crate will hold 288 balls.
Connor gathered dry ingredients to make a large pan of brownies. He mixed 1 1 4 cups of sugar, 2 2 3 cups of fl our and 1 1 6 cups of nuts together before adding the other ingredients. How many cups of dry ingredients did he mix?
Connor mixed 5 1⁄12 cups of dry ingredients.
A woven necklace costs $2.40 to make. Fill in the table to show how much it would cost to make 16 woven necklaces.
It would cost $38.40 to make 16 woven necklaces
Jade says that 8 ÷ 1/2 means the same thing as 1/2 of 8, so the answer is 4. Do you agree with her? Why or why not?
Jade is incorrect, 8 ÷ ½ = 16
Solve:
0.8 × 0.01=
0.008