Using Equations to Solve Word Problems: One & Two Step

​Open to page 9. You will be completing problems on pages 9 & 10 along with the quizizz slides after the warm-up.

Using Equations to Solve Word Problems

Warm-Up: Translate Sentences to Equations

Multiple Choice

Choose the BEST way to represent the product of a number and negative 5 is 18.

• $$\left(-5\right)n=18$$

• $$-5n=18$$

• $$n\times-5=18$$

Multiple Choice

The difference of 3 and a number is 6.

• $$3+n=6$$

• $$\frac{n}{3}=6$$

• $$3-n=6$$

Multiple Choice

12 fewer than a number is 1.

• $$y-12=1$$

• $$12-y=1$$

• $$-12y=1$$

Multiple Choice

The sum of two-thirds of a number and 3 is 10.

• $$\frac{2}{3}n+3=10$$

• $$3-\frac{2}{3}n=10$$

• $$\frac{2}{3}n-3=10$$

Multiple Choice

4 more than the quotient of a number and 2 is 8.

• $$2b+4=8$$

• $$4-\frac{b}{2}=8$$

• $$\frac{b}{2}+4=8$$

Using Equations to Solve Word Problems
pages 9 & 10

​Using Equations to Solve Word Problems

​#1) Connor deposited $84 into his checking account. If his new balance is $451, what was his balance before the deposit?

​We will do this together on page 9 in your notes.

​Using Equations to Solve Word Problems

​#5) Ms. Karen has 7 children in her preschool class. She would like to give each student an equal number of M&M's. If each child got 23 M&M's, how many did she start with?

​You will answer 3 multiple choice questions to guide you through this problem. Write down the correct answer for each problem on your paper in the box for problem #5. (Show your work when solving.)

Multiple Choice

#5) Define a variable

Ms. Karen has 7 children in her preschool class. She would like to give each student an equal number of M&M's. If each child got 23 M&M's, how many did she start with?

• m = # of M&M's she started with

• m = # of children in the class

• m = # of M&M's each child got

Math Response

#5) Set up an equation, Let m = # of m&m's she started with

Ms. Karen has 7 children in her preschool class. She would like to give each student an equal number of M&M's. If each child got 23 M&M's, how many did she start with?

Type answer here

Correct Answer: \frac{m}{7}=23

Deg^°

Rad

Multiple Choice

#5) Solve and answer it.

Ms. Karen has 7 children in her preschool class. She would like to give each student an equal number of M&M's. If each child got 23 M&M's, how many did she start with?

• $$x=30$$

  She started with 30 M&M's.

• $$x=161$$

  She started with 161 M&M's.

• $$x=3.3$$

  Each child received 3.3 M&M's.

​Using Equations to Solve Word Problems

​#7) Pocket folders are $0.39 each at the store. If Carolyn paid a total of $7.02, how many did she buy?

​You will answer 3 multiple choice questions to guide you through this problem. Write down the correct answer for each problem on your paper in the box for problem #7. (Show your work when solving.)

Multiple Choice

#7) Define a variable for the problem

Pocket folders are $0.39 each at the store. If Carolyn paid a total of $7.02, how many did she buy?

• f

• f = cost of the pocket folders she bought

• f = # of pocket folders she bought

Multiple Choice

#7) Write an equation

Pocket folders are $0.39 each at the store. If Carolyn paid a total of $7.02, how many did she buy?

• $$f+0.39=7.02$$

• $$0.39f\ =\ 7.02$$

• $$7.02-0.39=f$$

Multiple Choice

#7) Solve the equation and answer it.

Pocket folders are $0.39 each at the store. If Carolyn paid a total of $7.02, how many did she buy?  
$$0.39f=7.02$$  

• f = 3

  3 pocket folders

• f = 18

  18 pocket folders

• f = 6.63

  7 pocket folders

Multiple Choice

#13) Define a variable

A plant is 14 inches tall. If it grows 3 inches per year, how many years will it take to reach a height of 38 inches?

• y = # of years

• y = # of inches

• y = 3 years

Multiple Choice

#13) Write an equation (Let y = # of years)

A plant is 14 inches tall. If it grows 3 inches per year, how many years will it take to reach a height of 38 inches?

• $$14+\frac{x}{3}=38$$

• $$14+3x=38$$

• $$3x-14=38$$

​#13) A plant is 14 inches tall. If it grows 3 inches per year, how many years will it take to reach a height of 38 inches?

​You will complete this problem after the lesson.

Multiple Choice

#15) Define a variable

One-Third of the students in the marching band signed up for the pep band. Then, five students changed their mind. If there are 31 students in the pep band, how many students are in the marching band?

• m = # of students in the marching band

• m = # of students in the school

• m = # of ninth graders

Multiple Choice

#15) Write an equation

One-Third of the students in the marching band signed up for the pep band. Then, five students changed their mind. If there are 31 students in the pep band, how many students are in the marching band?

• $$\frac{1}{3}m-5=31$$

• $$\frac{1}{3}m=31$$

• $$\frac{1}{3}m+5=31$$

​#15) One-Third of the students in the marching band signed up for the pep band. Then, five students changed their mind. If there are 31 students in the pep band, how many students are in the marching band?

​You will complete this problem after the lesson.