Illustrative Mathematics | v.360 Curriculum

Problem 1

Select all the true equations.

\(5 + 0 = 0\)
\(15 \boldcdot 0 = 0\)
\(1.4 + 2.7 = 4.1\)
\(\frac{2}{3} \boldcdot \frac{5}{9} = \frac{7}{12}\)
\(4 \frac{2}{3}=5 - \frac{1}{3}\)

Problem 2

Select all the equations that are true when the value of the variable is 4.

\(9 \boldcdot x=32\)
\(31-x=17\)
\(1 = \frac{1}{4}x\)
\(x+18=22\)
\(10x=14\)

Problem 3

Which equation shows that \(\frac{1}{5}\) is a solution to the equation \(30x=6\)?

\(30 + \frac{1}{5} = 30\frac{1}{5}\)
\(30 \boldcdot \frac{1}{5} = 6\)
\(30 \div \frac{1}{5} = 6\)
\(30 \div 6 = \frac{1}{5}\)

Problem 4

Match each equation with a solution from the list of values.

\(2a = 4.6\)
\(b + 2 = 4.6\)
\(c \div 2 = 4.6\)
\(d - 2 = 4.6\)
\(x+\frac{3}{8} = 2\)
\(\frac{1}{8}f = 3\)
\(g \div \frac{8}{5} = 1\)

\(\frac{8}{5}\)
\(1 \frac{5}{8}\)
2.3
2.6
6.6
9.2
24

Problem 5

ForLesson 11: Representing Percentages with Double Number Line Diagrams

The daily recommended allowance of vitamin C for a teenager is 70 mg. One orange has about 75% of that recommended daily allowance of vitamin C. How many milligrams of vitamin C are in 1 orange? If you get stuck, consider using the double number line diagram.

Double number line. Vitamin C in mg. Percentage.

Problem 6

ForLesson 12: Representing Percentages in Different Ways

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?

Problem 7

ForLesson 8: Calculating Products of Decimals

Find each product.

\((0.25) \boldcdot (1.4)\)
\((0.061) \boldcdot (0.43)\)
\((1.017) \boldcdot (0.072)\)
\((5.226) \boldcdot (0.037)\)

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