Alex and Samantha are saving money for a house project. Alex starts with ₱ 5000 and saves ₱ 750 each week. Samantha starts with ₱ 2500 and saves ₱ 1000 each week. However, Samantha also spends ₱ 250 every week on miscellaneous items. Which of the following statements is true about their savings over time?

Alex will always have more savings than Samantha.

Samantha will eventually have more savings than Alex because her savings rate is higher.

Samantha will have more savings than Alex after a certain number of weeks, regardless of her weekly spending.

Samantha will have more savings than Alex after a certain number of weeks, but only if she stops spending Php 250 weekly.

A local artisan in the Aeta Mag-Indi community makes traditional baskets and sells them at the town market. He charges a fixed transport fee to get to the market, and an amount for each basket he sells. Let 'b' represent the number of baskets the artisan sells. If his total earnings are represented by the expression 50b + 20, which of the following verbal phrases correctly describes how his earnings are calculated?

Fifty pesos for each basket, plus twenty pesos for transport.

Twenty pesos total, plus fifty pesos for transport.

Fifty pesos for transport, plus twenty pesos total.

Twenty pesos for each basket, plus fifty pesos for transport.

Two students, Maria and Jose, are translating the following phrase into an algebraic expression: 'Three times a number, decreased by the sum of that number and five.' Maria writes '3x - x + 5,' while Jose writes '3x - (x + 5).' Which of the following statements correctly analyzes the two students' translations?

Jose's expression is correct because the parentheses ensure the entire sum is subtracted from three times the number.

Maria's expression is correct because she correctly represents three times a number decreased by that number and five.

Both Maria's and Jose's expressions are correct because they both result in the same value, no matter what number you use in the expression.

Neither Maria nor Jose is correct.

Which of the following statements BEST describes the Addition Property of Equality?

If a = b, then a – c = b – c.

If a = b, then a ÷ c = b ÷ c (where c ≠ 0).

NOTEBOOKS AND PENS Liam is planning to buy 3 notebooks and 2 pens for ₱ 80, represented by the equation 3n + 2p = 80. He wants to double the quantities to buy 6 notebooks and 4 pens. Which property justifies the new equation 6n + 4p = 160?

Multiplication Property of Equality

Substitution Property of Equality

NOTEBOOKS AND PENS Liam is planning to buy 3 notebooks and 2 pens for ₱ 80, represented by the equation 3n + 2p = 80. He wants to double the quantities to buy 6 notebooks and 4 pens. Liam notices that when he buys more notebooks and pens, the total cost increases proportionally. He wonders if there is a mathematical principle that explains why doubling or tripling the quantities results in a new equation where both sides are multiplied by the same factor. Which of the following principles supports this observation?

Multiplication Property of Equality

Distributive Property of Equality

Associative Property of Equality

Commutative Property of Equality

BREAD AND PASTRIES A local bakery sells a combination of bread and pastries. The total cost C of the items is given by the formula: C = 2b + 3p, where b is the number of bread loaves and p is the number of pastries. The bakery wants to express the cost of pastries in terms of the total cost and the number of bread loaves. 6.Evaluate the impact of increasing the cost of pastries by ₱ 1 and the cost of bread by ₱ 2 on the total cost, C, when buying 5 bread loaves and 3 pastries.

The total cost increases by ₱ 17.

The total cost increases by ₱ 11.

The total cost increases by ₱ 13.

The total cost increases by ₱ 19.

ALLOWANCE CHALLENGE Lina wants to buy a book costing ₱ 1,120. She saves 40% of her daily allowance and receives exactly ₱ 28 from this savings each day. She needs to determine how many days she must save to afford the book. If Lina decided to save 45% instead, how would this change the equation?

Equation structure would remain unchanged.

ALLOWANCE CHALLENGE Lina wants to buy a book costing ₱ 1,120. She saves 40% of her daily allowance and receives exactly ₱ 28 from this savings each day. She needs to determine how many days she must save to afford the book. Lina decides to use her savings to buy a different book costing ₱ 840. How does this change affect her goal in terms of the number of days she needs to save?

She will need fewer days to save.

She will need more days to save.

The number of days remains unchanged.

It depends on her original allowance amount.

STUDY TECHNIQUES Students in Math 7 are investigating the effectiveness of different study techniques in preparing for quizzes. They decide to conduct experiments to collect data on their performance under different conditions. Which of the following describes the FIRST STEP in collecting data on the number of correct answers you get on a quiz after using a particular study technique?

Pick the study technique you like best, and study that way.

Do no study and guess on the quiz, to get the baseline scores.

STUDY TECHNIQUES Students in Math 7 are investigating the effectiveness of different study techniques in preparing for quizzes. They decide to conduct experiments to collect data on their performance under different conditions. The students collected data on how many minutes they studied and their scores on a quiz. Which of the following graphs would be most helpful in determining if there is a relationship between study time and quiz scores?

A scatter plot showing each student's study time versus their quiz score.

A table listing the students' names and their study times.

A bar graph showing the average quiz score for each student.

A pie chart showing the percentage of students of 1 class who passed the quiz.

STUDY TECHNIQUES Students in Math 7 are investigating the effectiveness of different study techniques in preparing for quizzes. They decide to conduct experiments to collect data on their performance under different conditions. After collecting data, the students find that, on average, students who use a specific study method for 30 minutes get 8 out of 10 questions correct on the quiz. Which of the following is the most reasonable conclusion the students could make based on this data?

This data shows that the specific study method for 30 minutes likely increased quiz scores, but they can't be sure unless they do another experiment and account for the differences in the students.

The data shows nothing because it only looks at the scores from one particular study method.

The specific study method for 30 minutes is the perfect amount of study time; if used, everyone will do well on the quiz.

It is impossible to conclude anything about the effect of using the particular study method for 30 minutes because these experiments depend on many factors.

HOUSEHOLD CHORES TRACKER In the Rodriguez household, family members keep track of who does which chores each day. They use a table to record the chores, marking them with a "✓" for completed tasks and an "X" for incomplete ones. The family wants to ensure fairness and efficiency in dividing the chores, which include daily tasks like dishwashing, laundry, and cleaning. What is a "table" most useful for when tracking chores in the Rodriguez household?

Quickly seeing who did what chore on a specific day.

Finding the most difficult chore.

Storing the names of all the family members.

Deciding who should do the chores each day for one week.

HOUSEHOLD CHORES TRACKER In the Rodriguez household, family members keep track of who does which chores each day. They use a table to record the chores, marking them with a "✓" for completed tasks and an "X" for incomplete ones. The family wants to ensure fairness and efficiency in dividing the chores, which include daily tasks like dishwashing, laundry, and cleaning. Maria has been assigned to do the dishes. A week's worth of data shows that Maria has a '✓' for 'Dishwashing' on 5 days and an 'X' on 2 days. Which of the following statements is true based on this data?

Maria washed the dishes more often than not.

Maria is the only person who ever washes dishes.

Maria is always responsible for washing dishes every day.

HOUSEHOLD CHORES TRACKER In the Rodriguez household, family members keep track of who does which chores each day. They use a table to record the chores, marking them with a "✓" for completed tasks and an "X" for incomplete ones. The family wants to ensure fairness and efficiency in dividing the chores, which include daily tasks like dishwashing, laundry, and cleaning. The family wants to create a visual display to compare how often each family member does laundry each month. Which type of graph would be MOST useful for easily comparing the number of times each person did laundry?

A bar graph showing the number of times each family member did laundry,

A pie chart showing the chores done by each family member.

A table listing each person's name and the days they did laundry.

A line graph showing the total number of chores completed by everyone.

PLAYING GAMES WITH FRIENDS A group of friends is playing a game using a spinner divided into four equal sections labeled 1, 2, 3, and 4. They spin the spinner several times and record the results to understand the probabilities involved. After spinning the spinner 50 times, the number '2' came up 18 times. Based on this experiment, what is the estimated probability of spinning a '2' on the next spin?

18÷50 (based on the experiment)

32÷50 (based on the experiment)

50÷18 (based on the experiment)

PLAYING GAMES WITH FRIENDS A group of friends is playing a game using a spinner divided into four equal sections labeled 1, 2, 3, and 4. They spin the spinner several times and record the results to understand the probabilities involved. The friends think that spinning the number '4' should be less likely because they want to win more often. So, they make the section for the number '4' smaller. After many spins, they realize that '4' comes up much less often than the other numbers. Which of the following conclusions best explains the experiment?

Reducing the section had a chance to make 4 be spun less often, and did in the experiment

Reducing the section means ‘4’ could not be spun

Reducing the section on the spinner must cause the spinner to get damaged

Reducing the section on the spinner had nothing to do with seeing ‘4’ be spun less often

PLAYING GAMES WITH FRIENDS A group of friends is playing a game using a spinner divided into four equal sections labeled 1, 2, 3, and 4. They spin the spinner several times and record the results to understand the probabilities involved. Two friends, Sarah and Ben, perform the spinner experiment. Sarah spins the spinner 100 times, and Ben spins it 500 times. They both calculate the experimental probability of landing on '1'. Their results are slightly different. Which statement BEST explains why their experimental probabilities might be different, and suggests how to get a more reliable estimate?

Ben's result is likely more reliable because he performed more trials. Doing more trials makes the experimental probability closer to the theoretical probability of 1÷4.

Their results must be wrong, they should use a different spinner.

Their results should be exactly the same because the spinner has equal sections.

Sarah's result is likely more reliable because she had more time to focus on the experiment.

What is the rule for multiplying two numbers in scientific notation?

Add the exponents and multiply the coefficients.

Divide the exponents and subtract the coefficients.

Subtract the exponents and multiply the coefficients.

Multiply the exponents and then add the coefficients.

4TH QUARTER EXAM

Authored by Yolanda Ruiz

Mathematics

7th Grade

Used 3+ times

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50 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which expression represents the bar model on the picture?

$x-7=16$

$x+7=16$

$7\div x=16$

$7x=16$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be the value of the variable x in this bar model?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

BIRTHDAY PARTY
Mark will celebrate his birthday next week, and his budget for tables and decorations is ₱ 2400. Angela offers him ₱ 200 for each table, which includes 8 chairs.
If Mark allots ₱600 for the decoration budget, how many tables can he afford to set up?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

BIRTHDAY PARTY
Mark will celebrate his birthday next week, and his budget for tables and decorations is ₱ 2400. Angela offers him ₱ 200 for each table, which includes 8 chairs.
If Japhet offers Mark ₱ 180 for a table with 6 chairs, which offer is better: his or Angela’s?

Japhet's offer is better.

Angela's offer is better.

Both offerings are better.

Neither of the offers is better.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MEAL DEAL
The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.
What is the constant in the expression x + 50?

$x+50$

None of the above

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MEAL DEAL
The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.
Which of the following explains why x is considered a variable in the expression x + 50?

It is always equal to 50.

It represents a fixed cost.

It is not part of the expression.

It can take different values depending on the day.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MEAL DEAL
The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.
. If the total cost of the meal deal is Php 120, what is the cost of the main course?

₱50

₱60

₱70

₱80

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4TH QUARTER EXAM

Which expression represents the bar model on the picture?

What must be the value of the variable x in this bar model?

BIRTHDAY PARTY Mark will celebrate his birthday next week, and his budget for tables and decorations is ₱ 2400. Angela offers him ₱ 200 for each table, which includes 8 chairs.If Mark allots ₱600 for the decoration budget, how many tables can he afford to set up?

BIRTHDAY PARTY Mark will celebrate his birthday next week, and his budget for tables and decorations is ₱ 2400. Angela offers him ₱ 200 for each table, which includes 8 chairs.If Japhet offers Mark ₱ 180 for a table with 6 chairs, which offer is better: his or Angela’s?

MEAL DEAL The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.What is the constant in the expression x + 50?

MEAL DEAL The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.Which of the following explains why x is considered a variable in the expression x + 50?

MEAL DEALThe canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.. If the total cost of the meal deal is Php 120, what is the cost of the main course?

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Discover more resources for Mathematics

BIRTHDAY PARTY
Mark will celebrate his birthday next week, and his budget for tables and decorations is ₱ 2400. Angela offers him ₱ 200 for each table, which includes 8 chairs.
If Mark allots ₱600 for the decoration budget, how many tables can he afford to set up?

BIRTHDAY PARTY
Mark will celebrate his birthday next week, and his budget for tables and decorations is ₱ 2400. Angela offers him ₱ 200 for each table, which includes 8 chairs.
If Japhet offers Mark ₱ 180 for a table with 6 chairs, which offer is better: his or Angela’s?

MEAL DEAL
The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.
What is the constant in the expression x + 50?

MEAL DEAL
The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.
Which of the following explains why x is considered a variable in the expression x + 50?

MEAL DEAL
The canteen offers a meal deal that includes a main course and a drink. The cost of the main course varies depending on the day (represented by x), while the cost of the drink is fixed at ₱ 50.
. If the total cost of the meal deal is Php 120, what is the cost of the main course?