Open Up - Grade 7 - Mathematics - Unit 6 - Lesson 9

Solve each equation.

4x = -28

Solve each equation.

x - -6= -2

Solve each equation.

-x + 4= -9

Solve each equation.

-3x + 7= 1

Solve each equation.

25x + -11 = -86

Here is an equation 2x + 9 = -15.

Write three different equations that have the same solution as 2x + 9 = -15. Show or explain how you found them.

Select all the equations that match the diagram.

Match each story to an equation.

A stack of nested paper cups is 8 inches tall. The first cup is 4 inches tall and each of the rest of the cups in the stack adds \frac{1}{4} inch to the height of the stack.

Match each story to an equation.

A baker uses 4 cups of flour. She uses \frac{1}{4} cup to flour the counters and the rest to make 8 identical muffins.

Match each story to an equation.

Elena has an 8-foot piece of ribbon. She cuts off a piece that is \frac{1}{4} of a foot long and cuts the remainder into four pieces of equal length.

There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats.

Draw a tape diagram to represent the situation.(show your work)

What unknown amounts can be found by by using the diagram or reasoning about the situation?(short answer)