Lesson 3: Practice Problems

Problem 1 From Unit 5 Lesson 15

Solve each equation mentally.

$2 x = 10$
$- 3 x = 21$
$\frac{1}{3} x = 6$
$- \frac{1}{2} x = - 7$

Problem 2 From Unit 5 Lesson 3

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

Three square grids, each with three columns and three rows. Square grid 1 is populated as follows: Row 1: 0, 7, 2. Row 2: blank, 3, blank. Row 3: blank, blank, blank. Square grid 2 is populated as follows: Row 1: 1, blank, blank. Row 2: blank, 3, negative 2. Row 3: blank, blank, five. Square grid 3 is populated as follows: Row 1: Blank, blank, blank. Row 2: 4, 2, 0. Row 3: negative 1, blank, blank.

Problem 3

Draw a tape diagram to match each equation.

$5 (x + 1) = 20$
$5 x + 1 = 20$

Problem 4

Select all the equations that match the tape diagram.

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

$35 = 8 + x + x + x + x + x + x$
$35 = 8 + 6 x$
$6 + 8 x = 35$
$6 x + 8 = 35$
$6 x + 8 x = 35 x$
$35 - 8 = 6 x$

Problem 5 From Unit 4 Lesson 2

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

135 miles in 3 hours
22 miles in $\frac{1}{2}$ hour
7.5 miles in $\frac{1}{4}$ hour
$\frac{100}{3}$ miles in $\frac{2}{3}$ hour
$97 \frac{1}{2}$ miles in $\frac{3}{2}$ hour