Lesson 3

Solve each equation mentally.

1. \(2x = 10\)
2. \(\text-3x = 21\)
3. \(\frac13 x = 6\)
4. \(\text-\frac12x = \text-7\)

Complete the magic squares so that the sum of each row, each column, and each diagonal in a grid are all equal.​

Draw a tape diagram to match each equation.

1. \(5(x+1)=20\)

2. \(5x+1=20\)

Select all the equations that match the tape diagram.

\(35=8+x+x+x+x+x+x\)

\(35=8+6x\)

\(6+8x=35\)

\(6x+8=35\)

\(6x+8x=35x\)

\(35-8=6x\)

Each car is traveling at a constant speed. Find the number of miles each car travels in 1 hour at the given rate.

1. 135 miles in 3 hours

2. 22 miles in \(\frac12\) hour

3. 7.5 miles in \(\frac14\) hour

4. \(\frac{100}{3}\) miles in \(\frac23\) hour

5. \(97\frac12\) miles in \(\frac32\) hour