Lesson 3: Practice Problems

Problem 1

Draw a tape diagram to match each equation.

Problem 2

Select all the equations that match the tape diagram.

A tape diagram labeled 35 with 6 segments, x and one segment, 8

Problem 3 From Unit 1 Lesson 5

Point has coordinates . After a translation 4 units down, a reflection across the -axis, and a translation 6 units up, what are the coordinates of the image?

Problem 4

Figure 2 is a scaled copy of Figure 1.

  1. Identify the points in Figure 2 that correspond to the points and in Figure 1. Label them and . What is the distance between and ?

    Two 4-sided figures in a coordinate plane labeled Figure 1 and Figure 2. Figure 1 has four points. Point A is 3 units to the left and 2 units up from the bottom-right point. The top-right point is 1 unit up and 3 units to the right of point A. Point C is 1 unit down and 1 unit to the left of the top-right point. The bottom-right point is 1 unit to the right and 2 units down from point C. The bottom-right point is directly below the top-right point. Lines are drawn connecting point A to the top-right point, the top-right to C, C to the bottom-right point, and the bottom-right to A. Figure 2 also has four points. The left-most point is 9 units to the left and 6 units up from point S. Point Q is 3 units up and 9 units to the right of the left-most point. A fourth point is 3 units down and 3 units to the left of point Q. Point S is 3 units to the right and 6 units down from the fourth point. Point S is directly below point Q. Lines are drawn connecting the left-most point to Q, Q to the fourth point, the fourth point to S, and S to the left-most point.

  2. Identify the points in Figure 1 that correspond to the points and in Figure 2. Label them and . What is the distance between and ?

  3. What is the scale factor that takes Figure 1 to Figure 2?

  4. and are two points on Figure 1, but they are not shown. The distance between and is 1. What is the distance between the corresponding points on Figure 2?