Illustrative Mathematics | v.360 Curriculum

Problem 1

Angles \(A\) and \(C\) are supplementary. Find the measure of angle \(C\).

Two angles. Angle A, measure 74 degrees. Angle C, unmarked.

Problem 2

List two pairs of angles in square \(CDFG\) that are complementary.
Name three angles whose measures add up to \(180^\circ\).

Square C D F G. Point M lies on segment D F. Angle D C M, 27 degrees. Angle D M C, 63 degrees. Angle G M F, 64 degrees. Angle M G F, 26 degrees.

Problem 3

ForLesson 21: Combining Like Terms (Part 2)

Complete the equation with a number that makes the expression on the right side of the equal sign equivalent to the expression on the left side.

\(\displaystyle 5x-2.5 +6x-3 = \underline{\hspace{.5in}}(2x-1)\)

Problem 4

ForLesson 21: Combining Like Terms (Part 2)

In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not equivalent, show how to change one expression to make them equivalent.

A

\(3x-2x+0.5x\)
\(3(x+4) - 2(x+4)\)
\(6(x+4)-2(x+5)\)
\(3(x+4) - 2(x+4) +0.5(x+4)\)
\(20\left(\frac25x + \frac34y - \frac12\right)\)

B

\(1.5x\)
\(x+3\)
\(2(2x+7)\)
\(1.5\)
\(\frac12(16x + 30y - 20)\)

Problem 5

ForLesson 4: Proportional Relationships and Equations

Match each table with the equation that represents the same proportional relationship.

\(x\) \(y\)

2 8

3 12

4 16

5 20
\(x\) \(y\)

3 4.5

6 9

7 10.5

10 15
\(x\) \(y\)

2 \(\frac52\)

4 5

6 \(\frac{15}{2}\)

12 15

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