Unit 5 Equations and Inequalities Study Guide 25-26 DUE 2/24

Last updated 4 days ago

22 questions

Unit 5 Equations and Inequalities Study Guide 25-26 DUE 2/24

Last updated 4 days ago

22 questions

What is the first inverse operation to solve the following equation: -7+x=8__________
What is the first inverse operation to solve the following equation: -x/7=8__________
What is the first inverse operation to solve the following equation: -7-x=8__________
What is the first inverse operation to solve the following equation: -7x=56 __________
What is the first inverse operation to solve the following equation: 7+x=8__________

Solve for the variable:

Match each equation with the correct solution

Draggable item		Corresponding Item
16-x=8		x = 2
x+16=8		x = 8
8x=16		x= -8
		x =128

Solve the following equation

Kiana's brother is 18, which is two-thirds as old as Kiana. 

Write an equation that can be used to find Kianna’s age.  _______ 
Solve the equation to find Kiana’s age._______ 

Which of the following equations have x = 8 as a solution? Select all that apply.

Jordan has scored 18 goals this season.  This is 3 times the number of goals as Michael.  

Write an equation that represents the scenario using the variable x. _______  

Solve the equation to find the number of goals, x, Michael scored _______ 

Cole has 25 TikTok videos.  This is 5 videos less than Melanie.

Write an equation that shows the relationship between the number of videos Cole and Melanie have where x represents Melanie's videos _______ 

Use your equation to find x. _______ 

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00

Which equation represents the situation of the bill, x, being shared between Rae and her friends?

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00

Using your equation from #9, how much was the total bill? (do not add any dollar signs)

Emily added $6 to her savings account, x.  The new balance in her account is $16

Which equation represents the impact Emily made on her savings account, x? _______

What was original amount of savings Emily had in her account? _______

Use the information to answer the following questions

75% of x is 67.5

Write an equation that shows the relationship of 75%, x, and 67.5 _______ 
Use your equation to find x _______ 

For every day that Michael Scott works, he receives x dollars plus a $12 tip for travel.  Michael Scott worked 5 days last week and made a total of $150

Which equation could be used to find x? __________

Use your equation to solve for x. __________

Without solving, determine if you will need to flip the sign for each problem

Flip the Sign
Sign Remains the Same

Solve the inequality below. Show your work.

Type your answer using x first

Write the inequality for the graph below. (use x as your variable)

An elevator can only hold under 1500 pounds. Currently there is 945 pounds of equiptment on the elevator.   

Write an inequality that describes how much weight is available on the elevator.  Use x as your variable  _______ 

Solve your inequality _______ 

Zach saved $55 towards the purchase of an iPod. The cost of the iPods is starting at $145.

Write an inequality that represents at least how much money Zach will need to save to purchase an iPod. Don't solve

Solve the following equation.

Marty went to the movies. He spent a total of $17.25. He spent $12 on the ticket. He wants to buy snacks. If each snack costs $1.75, write an equation for how many snacks he can buy. Use x for your unknown number of snacks. (No $ in equation!) You don't have to solve!

Solve the following equation.

Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile with a $5 flat rate fee. The equation is given below:

t = 2.1m + 5

If Tammy spent a total 't' of $49.10, what is the distance (in miles) between Tammy’s home and the airport?

Unit 5 Equations and Inequalities Study Guide 25-26 DUE 2/24

Unit 5 Equations and Inequalities Study Guide 25-26 DUE 2/24

Solve for the variable:

Match each equation with the correct solution

Solve the following equation

Which of the following equations have x = 8 as a solution? Select all that apply.

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00 Which equation represents the situation of the bill, x, being shared between Rae and her friends?

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00 Using your equation from #9, how much was the total bill? (do not add any dollar signs)

Without solving, determine if you will need to flip the sign for each problem

Solve the inequality below. Show your work.Type your answer using x first

Write the inequality for the graph below. (use x as your variable)

Zach saved $55 towards the purchase of an iPod. The cost of the iPods is starting at $145. Write an inequality that represents at least how much money Zach will need to save to purchase an iPod. Don't solve

Solve the following equation.

Marty went to the movies. He spent a total of $17.25. He spent $12 on the ticket. He wants to buy snacks. If each snack costs $1.75, write an equation for how many snacks he can buy. Use x for your unknown number of snacks. (No $ in equation!) You don't have to solve!

Solve the following equation.

Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile with a $5 flat rate fee. The equation is given below:t = 2.1m + 5If Tammy spent a total 't' of $49.10, what is the distance (in miles) between Tammy’s home and the airport?

Solve for the variable:

Match each equation with the correct solution

Solve the following equation

Which of the following equations have x = 8 as a solution? Select all that apply.

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00 Which equation represents the situation of the bill, x, being shared between Rae and her friends?

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00 Using your equation from #9, how much was the total bill? (do not add any dollar signs)

Without solving, determine if you will need to flip the sign for each problem

Solve the inequality below. Show your work.Type your answer using x first

Write the inequality for the graph below. (use x as your variable)

Zach saved $55 towards the purchase of an iPod. The cost of the iPods is starting at $145. Write an inequality that represents at least how much money Zach will need to save to purchase an iPod. Don't solve

Solve the following equation.

Marty went to the movies. He spent a total of $17.25. He spent $12 on the ticket. He wants to buy snacks. If each snack costs $1.75, write an equation for how many snacks he can buy. Use x for your unknown number of snacks. (No $ in equation!) You don't have to solve!

Solve the following equation.

Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile with a $5 flat rate fee. The equation is given below:t = 2.1m + 5If Tammy spent a total 't' of $49.10, what is the distance (in miles) between Tammy’s home and the airport?

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00

Which equation represents the situation of the bill, x, being shared between Rae and her friends?

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00

Using your equation from #9, how much was the total bill? (do not add any dollar signs)

Solve the inequality below. Show your work.

Type your answer using x first

Zach saved $55 towards the purchase of an iPod. The cost of the iPods is starting at $145.

Write an inequality that represents at least how much money Zach will need to save to purchase an iPod. Don't solve

Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile with a $5 flat rate fee. The equation is given below:

t = 2.1m + 5

If Tammy spent a total 't' of $49.10, what is the distance (in miles) between Tammy’s home and the airport?

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00

Which equation represents the situation of the bill, x, being shared between Rae and her friends?

Rae and her three friends went out for lunch and they decided to split the final bill evenly between the four of them. They each paid a total of $8.00

Using your equation from #9, how much was the total bill? (do not add any dollar signs)

Solve the inequality below. Show your work.

Type your answer using x first

Zach saved $55 towards the purchase of an iPod. The cost of the iPods is starting at $145.

Write an inequality that represents at least how much money Zach will need to save to purchase an iPod. Don't solve

Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile with a $5 flat rate fee. The equation is given below:

t = 2.1m + 5

If Tammy spent a total 't' of $49.10, what is the distance (in miles) between Tammy’s home and the airport?