Equations and Problem Solving

This video tutorial covers solving equations involving negative numbers, creating equivalent equations, matching equations to diagrams, and solving story problems by matching them to equations. It also includes a problem about theater seating, using diagrams to find unknown quantities. The tutorial is designed for seventh-grade students and emphasizes problem-solving skills in mathematics.

What is the solution for the equation 4x = -28?

• x = 4

• x = -7

• x = 7

• x = -4

If x - (-6) = -2, what is the value of x?

• x = 2

• x = -8

• x = -2

• x = 8

Which of the following is an equivalent equation to 2x + 9 = -15 when all terms are doubled?

• 2x + 18 = -30

• 4x + 9 = -15

• 4x + 18 = -30

• 2x + 9 = -30

What is the solution for the equation 6x + 27 = -45?

• x = -9

• x = 9

• x = -12

• x = 12

Which equation matches a diagram with three groups of (x + 5) equaling 18?

• 3(x + 5) = 18

• x + 5 = 18

• x + 5 = 6

• 3x + 5 = 18

In a diagram with three groups of (x + 5), what does each group equal if the total is 18?

• x + 5 = 9

• x + 5 = 3

• x + 5 = 18

• x + 5 = 6

Which equation represents a stack of cups where the first cup is 4 inches and each additional cup adds 1/4 inch to a total height of 8 inches?

• 1/4x + 4 = 8

• x + 4 = 8

• 4x + 1/4 = 8

• 4 + 1/4x = 8

A baker uses 4 cups of flour, with 1/4 cup for the counter and the rest for 8 muffins. Which equation represents this?

• x + 1/4 = 4

• 8x + 1/4 = 4

• 4x + 1/4 = 8

• 8 + 1/4x = 4

How many blue seats are there if a theater has 88 seats in total, divided into 4 sections with 14 red seats each?

• 14

• 56

• 32

• 88

If each section of a theater has 14 red seats and some blue seats, and there are 4 sections, how many red seats are there in total?

• 56

• 32

• 88

• 14