Solving Equations and Word Problems

The video tutorial covers lesson 12.1 on writing equations to represent situations. It begins with an introduction to equations and related vocabulary, explaining that equations have an equal sign and solutions involve finding the value of variables. The tutorial provides examples of solving equations, including addition, division, and multiplication. It also demonstrates how to check solutions and write equations from real-life scenarios, such as calculating points in a game or dividing beads for necklaces.

What is a key feature of an equation?

• It has a number.

• It has an equal sign.

• It has a letter.

• It has a variable.

What does a solution to an equation represent?

• The balance of the equation.

• The value of the variable.

• The number of variables.

• The total sum.

In the equation x + 9 = 15, what is the value of x?

• 5

• 6

• 7

• 8

If y divided by 4 equals -32, what is y?

• -8

• -128

• 128

• 8

In the equation 8x = 72, what does x equal?

• 11

• 9

• 8

• 10

What equation represents the situation where Mark scored 17 points and his team scored p points, totaling 46?

• p - 17 = 46

• 17 - p = 46

• 17 + p = 46

• p + 17 = 46

How would you write an equation for a fish tank with 38 fish, 9 of which are goldfish?

• 38 = f - 9

• 38 = 9 + f

• 9 = 38 + f

• f = 38 - 9

Juanita has 102 beads to make n necklaces, each with 17 beads. What equation represents this?

• 102 = n + 17

• 102 = 17n

• 17 = 102n

• n = 102 - 17

Craig is c years old, and his sister Becky is 3 years younger. What equation represents this?

• c - 3 = 12

• c + 3 = 12

• c = 3 + 12

• c = 12 - 3

Sonia rented ice skates for h hours at $2 per hour, paying a total of $8. What equation represents this?

• h = 8 - 2

• 8 = 2 + h

• h + 2 = 8

• 2h = 8