Lesson 2
Truth and Equations
Problem 1
Select all the true equations.
\(5 + 0 = 0\)
\(15 \boldcdot 0 = 0\)
\(1.4 + 2.7 = 4.1\)
\(\frac{2}{3} \boldcdot \frac{5}{9} = \frac{7}{12}\)
\(4 \frac{2}{3}=5 - \frac{1}{3}\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
Mai's water bottle had 24 ounces in it. After she drank \(x\) ounces of water, there were 10 ounces left. Select all the equations that represent this situation.
\(24 \div 10 = x\)
\(24 +10 = x\)
\(24 - 10 = x\)
\(x + 10 = 24\)
\(10x = 24\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
Priya has 5 pencils, each \(x\) inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.
\(5 + x = 34.5\)
\(5x = 34.5\)
\(34.5 \div 5 = x\)
\(34.5 - 5 = x\)
\(x = (34.5) \boldcdot 5\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
Match each equation with a solution from the list of values.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 5
The daily recommended allowance of vitamin C for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowance of vitamin C. How many milligrams are in 1 orange? If you get stuck, consider using the double number line.
![Double number line. Vitamin C in mg. Percentage.](https://cms-im.s3.amazonaws.com/tbCB4RhjVuXmrDsr7DrCn9R5?response-content-disposition=inline%3B%20filename%3D%226-6.3.D2.PP.Image.Rev.0101.png%22%3B%20filename%2A%3DUTF-8%27%276-6.3.D2.PP.Image.Rev.0101.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T182023Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=ade1403ea695b1bf4bb3401cb547fabd4ad9ed28e318ab306544e5909dc34a8a)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 2, Lesson 20.)Problem 6
There are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them.
- How many kids own their own instruments?
- How many kids rent instruments?
- What percentage of kids rent their instruments?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 2, Lesson 21.)Problem 7
Find each product.
- \((0.25) \boldcdot (1.4)\)
- \((0.061) \boldcdot (0.43)\)
- \((1.017) \boldcdot (0.072)\)
- \((5.226) \boldcdot (0.037)\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 3, Lesson 17.)