Unit 4 Topics/Concepts Review

2nd Period - Unit 4 Quiz Part 2 Data

3rd Period - Unit 4 Quiz Part 2 Data

4th Period - Unit 4 Quiz Part 2 Data

5th Period - Unit 4 Quiz Part 2 Data

7th Period - Unit 4 Quiz Part 2 Data

Multiple Choice

Unit 4 Quiz Part 2 - #1 52% Correct

1. The graph models the linear relationship between the charge for a trip and the number of miles driven for two taxis.

 
Based on the graph, which statement appears to be true?

• The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.

• The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

Drag and Drop

Unit 4 Quiz Part 2 - #2 61% Correct

2. Helen had $330 in her savings account when Vicente opened a checking account with $900 dollars.



• Helen deposited $30 into her account each week for x weeks from her new job.

• Vicente withdrawals $50 from his account each week for x weeks for his meals.

• The accounts did not earn interest.



Write an inequality to represent the situation when the amount of money in Helen’s account (on left) was at least (middle inequality) the amount of money in Vicente account (on right)?

​ ​

Placeholder

​

Placeholder

​​

Placeholder

​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

$330

+ $30x

$900

- $50x

- $30x

+ $50x

Multiple Choice

Unit 4 Quiz Part 2 - #3 57% Correct

3. Which situation can be represented by the inequality 2x + 18 < 3x + 11?

• Tori is on the 18th step from the bottom of a staircase and goes up 3 steps every second.  Natalie is on the 11th step from the bottom and goes up 2 steps every second.  After how many seconds, x, will Natalie pass Tori?

• Ana has made 18 bracelets and continues to make 2 bracelets each day.  Eli was helping his little sister make bracelets.  She has already made 11 bracelets and continues to make 3 bracelets each day.  After how many days, x, will Eli's little sister have more bracelets than Ana?

• Gina has $2 in her savings account and adds $18 each week.  Henry has $3 in his savings account and adds $11 each week.  After how many weeks, x, will Gina have more money in his savings account than Henry?

• Doreen has eaten 18 french fries and continues to eat 2 with each bite she takes.  Kendrick has eaten 11 french fries and continues to eat 3 with each bite he takes.  After how many bites, x, will Doreen have eaten more french fries than Kendrick?

Multiple Choice

Unit 4 Quiz Part 2 - #4 63% Correct

4. Julie started with 20 pieces of gum and gave away x  pieces. Carlos started with 35 pieces of gum and gave away twice as many pieces as Julie did.

How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

• 18

• 5

• 15

• 8

Math Response

Unit 4 Quiz Part 2 - #5 28% Correct

5. The side lengths in yards of a triangle and a square are shown in the diagram.

The perimeter of the triangle is equal to the perimeter of the square. What is the value of variable-x?

variable-x = _

Type answer here

Correct Answer: 6

Deg^°

Rad

Multiple Choice

PARTNER PRACTICE

6. Javier and his brother Antonio are selling bags of popcorn to raise money for their baseball team to travel to Florida for a tournament.

• Javier is selling his bags of popcorn for $7.50 each and has already raised $120.00.

• Antonio is selling his bags of popcorn for $6.00 each and has already raised $162.00.

Which equation can be used to determine x, the number of bags of popcorn Javier and Antonio must each sell, so that the total amount of money they raise is the same?

• 120 − 7.50x = 162 − 6x

• 7.50x − 120 = 6x − 162

• 120x + 7.50 = 162x + 6

• 7.50x + 120 = 6x + 162

Multiple Choice

PARTNER PRACTICE

7. Which scenario could be modeled by the equation 2x + 12 = 8 + 4x?

• Jodie is wanting to join an online streaming service. She found two options online. The first option, Streaming R Us, costs $12 to activate and $2 per month for the service. The second option, Loads of Shows, costs $8 to activate the service and an additional $4 per month. At how many months will the 2 streaming options cost Jodie the same amount?

• Karl saves $2 a week of his allowance but must repay his mom $12 out of his savings for money she loaned him. Karl’s sister Tamara saves $4 a week of her allowance but must repay her mom $8 she borrowed from her out of the money she saves. After how many weeks of saving will Karl and Tamara have the same amount of money saved?

• Currently the temperature in Syracuse, NY, is −12 degrees Fahrenheit and it is 8 degrees Fahrenheit in Chicago, IL. If the temperature in Syracuse rises 4 degrees per hour and it rises 8 degrees per hour in Chicago, after how many hours will Syracuse and Chicago have the same temperature?

• Jackson swam 12 miles at a rate of 2 miles per hour and 8 miles at a rate of 4 miles per hour. How many hours does it take Jackson to swim 20 miles?

Math Response

PARTNER PRACTICE

8. Paul has a collection of marbles in three sizes: small, medium, and large.

He has two less than five times as many small marbles as medium marbles.

The number of large marbles is four more than three times the number of medium marbles.

Let m represent the number of medium marbles Paul has in his marble collection.

If the sum of the small and medium marbles in Paul's collection is equal to the number of large marbles in his collection, write an equation that can be solved to determine how many of each kind of marble Paul has.

Type answer here

Correct Answer: 5m-2+m=3m+4

Deg^°

Rad

Multiple Choice

PARTNER PRACTICE

9. What value of x makes this equation true?

$$\frac{7(3x−2)}{4}=−14+6x$$

• 14

• 12

• -9

• 11

Math Response

PARTNER PRACTICE

10. Anna and Aisha are playing games at the arcade. Anna started with $15 on her game card, and the game she is playing charges $0.75 per game. Aisha started with $12.75 on her game card, and the game she is playing charges $0.50 per game.

If Anna and Aisha played the same number of games and their game cards now have the same balance, how many games did they play?

Type answer here

Correct Answer: 9

Deg^°

Rad

Math Response

PARTNER PRACTICE

11. The side lengths of a triangle and a rectangle are shown in the diagram. The perimeter of the triangle is equal to the perimeter of the rectangle. What is the value of x?

Type answer here

Correct Answer: 4

Deg^°

Rad

Multiple Choice

PARTNER PRACTICE

12. Molly and Noah are selling bottles of water to raise money for the band. The graph shows the linear relationship between the number of bottles of water each of them has left to sell and the number of days that they have been selling bottles of water.

On which day does it appear that Molly and Noah will have the same number of bottles of water left?

• Day 10

• Day 12

• Day 15

• Day 18

Multiple Choice

PARTNER PRACTICE

13. The equation y = 5x + 180 represents the amount a school club will pay a T-shirt company for custom T-shirts, where x represents the number of T-shirts produced and y represents the total cost in dollars. The equation y = 10x represents the club’s income from selling the T-shirts, where y represents the money earned in dollars and x represents the number of T-shirts sold. The graph represents this situation.

Assuming that the club members sell all the T-shirts they purchase, when will the club make a profit?

• When 36 T-shirts are sold

• When 360 T-shirts are sold

• When more than 36 T-shirts are sold

• When fewer than 36 T-shirts are sold

Math Response

PARTNER PRACTICE

14. Home Gardens makes ceramic planters. It costs $30 plus an additional $2 per planter to produce x number of planters. They plan on selling the planters for $5 each. The table shows the production cost and the income for different numbers of planters.

Determine the number of planters for which Home Gardens makes a profit of $0.

Type answer here

Correct Answer: 10

Deg^°

Rad

Multiple Choice

PARTNER PRACTICE

15. Jessica wants to hire a company to clean her grandma’s house. The cost each company charges for rooms is shown in the graph. Squeaky Cleaners charges $18 per room and a $60 registration fee. Home Helpers charges $6 per room and a $120 registration fee.

Identify and interpret what the point of intersection means in the context of the problem situation.

• The point of intersection is at (5, 150). This means when there are five rooms to clean in the house, the cost of $150 is the same for both companies.

• The point of intersection is at (150, 5). This means when there are five rooms to clean in the house, the cost of $150 is the same for both companies.

• The point of intersection is at (5, 150). This means when there are 150 rooms to clean in the house, the cost of $5 is the same for both companies.

• There is not enough information from the graph and the problem to determine the meaning of the point of intersection and what it would represent.