Equivalent Expressions Review Day 1

Equivalent Expressions Assessment Review

Writing Equations with Variables on Both Sides

Write an equation from the real-world scenario or algebra tiles.

Writing Equations with Algebra Tiles
Question #2 on Checkpoint

When given algebra tiles:

1. Create the equation demonstrated by the algebra tiles.

2. Once you have your equation, solve for the variable.

Math Response

Write an equation in the order that is shown that represents the algebra tiles.

[NO SPACES]

Type answer here

Correct Answer: -5x+12=3x-8

Deg^°

Rad

Math Response

We determined the equation that corresponds with the algebra tiles is:

-5x + 12 = 3x - 8

What is the value of x? [ONLY THE NUMBER]

Type answer here

Correct Answer: 2.5

Deg^°

Rad

Math Response

Write an equation that represents the algebra tiles.

[NO SPACES]

Type answer here

Correct Answer: 3x+2=4x-3

Deg^°

Rad

Math Response

We determined the equation that corresponds with the algebra tiles is:

3x + 2 = 4x - 3

What is the value of x? [ONLY THE NUMBER]

Type answer here

Correct Answer: 5

Deg^°

Rad

Writing Equations from Word Problems

Write an equation from the real-world scenario or algebra tiles.

Question # 5 on Checkpoint

Writing Equations from Word Problems

When given a word problem:

1. Identify the two things being compared.

   1. The two things being compared goes on opposite sides of the equal sign.

2. Identify keywords that represents operations to create the equation.

3. Once you have the equation, solve for the variable.

Multiple Choice

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did they both give away if they had the same number of pieces of gum left?

What is being compared?

• Gum and Julie

• Julie and Conrad

• Gum and Conrad

Multiple Choice

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did they both give away if they had the same number of pieces of gum left?

Which equation matches the scenario?

• 20 + x = 35 + 2x

• $$20-x=35-\frac{x}{2}$$

• 20 - x = 35 - 2x

• $$20-x=35+\frac{x}{2}$$

Multiple Choice

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did they both give away if they had the same number of pieces of gum left?

We determine the equation that corresponds with the scenario is

20 - x = 35 - 2x

Solve for the variable.

• 18

• 5

• 15

• 8

Multiple Choice

Sammy has 15 pencils and gave away x pieces. Leah started with 10 pencils and gave away half as many pencils as Sammy did. How many pencils did they both give away if they had the same number of pencils left?

What is being compared?

• Sammy and Leah

• Pencils and Sammy

• Leah and Pencils

Multiple Choice

Sammy has 15 pencils and gave away x pieces. Leah started with 10 pencils and gave away half as many pencils as Sammy did. How many pencils did they both give away if they had the same number of pencils left?

Which equation matches the scenario?

• 15 + x = 10 + 2x

• $$15-x=10+\frac{x}{2}$$

• 15 - x = 10 - 2x

• $$15-x=10-\frac{x}{2}$$

Multiple Choice

Sammy has 15 pencils and gave away x pieces. Leah started with 10 pencils and gave away half as many pencils as Sammy did. How many pencils did they both give away if they had the same number of pencils left?

We determine the equation that corresponds with the scenario is

$$15-x=10-\frac{x}{2}$$

Solve for the variable.

• 10

• 5

• 15

• 8

Inequalities that corresponds with Word Problems
Question #6 on Checkpoint

Inequalities that corresponds with Word Problems

When given an inequality:

1. Make note of what is on both sides of the equal sign.

   1. Each scenario has to be on its' own side of the equation.

2. Read the word problems and match the keyword to the equation.

   1. Ask yourself, what is the word problem comparing.

3. Check the sign

   1. Less than, Greater than, or Equal to

Multiple Choice

Which of the following word problems can be solved by this inequality?

25 + 18h > 35 + 12h

• Edgar and Mike are both plumbers. Edgar charges $18 per hour plus a service fee of $25. Mike charges $12 per hour plus a service fee of $35. What is the least number of hours, h, it will take for the total cost of hiring Edgar to be less than hiring Mike?

• Edgar and Mike are both plumbers. Edgar charges $18 per hour plus a service fee of $25. Mike charges $12 per hour plus a service fee of $35. What is the least number of hours, h, it will take for the total cost of hiring Edgar to be greater than hiring Mike?

• Edgar and Mike are both plumbers. Edgar charges $12 per hour plus a service fee of $25. Mike charges $18 per hour plus a service fee of $35. What is the least number of hours, h, it will take for the total cost of hiring Edgar to be greater than hiring Mike?

Multiple Choice

Which of the following word problems can be solved by this inequality?

250 + 180d < 200 + 120d

• Relaxing Cruises offers a cruise package for $120 per day plus a one-time fee of $200. EZ Cruises offers a cruise package for $180 per day plus a one-time fee of $250. What is the least number of days, d, it will take for the total cost of the cruise in Relaxing Cruises to be less than EZ Cruises?

• Relaxing Cruises offers a cruise package for $120 per day plus a one-time fee of $250. EZ Cruises offers a cruise package for $180 per day plus a one-time fee of $200. What is the least number of days, d, it will take for the total cost of the cruise in Relaxing Cruises to be greater than EZ Cruises?

• Relaxing Cruises offers a cruise package for $120 per day plus a one-time fee of $200. EZ Cruises offers a cruise package for $180 per day plus a one-time fee of $250. What is the least number of days, d, it will take for the total cost of the cruise in Relaxing Cruises to be greater than EZ Cruises?