A movie theater sold a total of 50 tickets for an evening showing. The tickets were sold as adult tickets (a) and child tickets (c). The total revenue from ticket sales was $500, with each adult ticket costing $10 and each child ticket costing $5. The system of equations representing this situation is: a+c=50 10a+5c=500 After solving, the theater finds that a=50 and c=0 Which of the following explanations of the solution is correct?

The theater sold 50 adult tickets and 0 child tickets, making a total of $500 from 50 tickets sold.

The theater sold 0 adult tickets and 50 child tickets, making a total of $500 from 50 tickets sold.

The theater sold 25 adult tickets and 25 child tickets, making a total of $500 from 50 tickets sold.

Use the system of inequalities. $$y\ge-x+3$$ $$y\ge-x+6$$ Which statement about the solution set is true?

Every solution of $$y\ge-x+6$$ is a solution to the system.

Every solution of $$y\ge-x+3$$ is a solution to the system.

Kona wants to bake banana bread and pumpkin bread for a bake sale. Each loaf of banana bread sells for $2, and each loaf of pumpkin bread sells for $4. Kona wants to make at least $44. Let x represent the number of loaves of banana bread and let y represent the number of loaves of pumpkin bread Kona can bake. How would you classify all of the possible solutions?

Whole number combinations either on or above the boundary line.

Whole number combinations either on or below the boundary line.

Positive number combinations either on or above the boundary line.

Real number combinations either on or above the boundary line.

Kona wants to bake banana bread and pumpkin bread for a bake sale. Each loaf of banana bread sells for $2, and each loaf of pumpkin bread sells for $4. Kona wants to make at least $44. Let x represent the number of loaves of banana bread and let y represent the number of loaves of pumpkin bread Kona can bake. If Kona sells 15 loaves of banana bread and 4 loaves of pumpkin bread, then would he make enough money to reach his goal? Explain your answer.

Yes, he will reach his goal because 15 loaves of banana bread and 4 loaves of pumpkin bread makes more than $44.

No, he will not reach his goal because 15 loaves of banana bread and 4 loaves of pumpkin break makes more than $44.

Yes, he will reach his goal because 15 loaves of banana bread and 4 loaves of pumpkin bread makes less than $44.

No, he will not reach his goal because 15 loaves of banana bread and 4 loaves of pumpkin bread makes less than $44.

Determine which situation COULD BE represented by the system of linear equations given below. x+y=75 4x+2y=250

An art teacher bought paintbrushes in packs of 4 and packs of 2. She bought a total of 75 packs and now has 250 paintbrushes.

A candy store sells boxes of chocolates for $4 each and boxes of caramels for $2 each. In one afternoon, the store sold 250 boxes of candy and made a profit of $75.

An audience contains 250 people. Student tickets cost $2 each and adult tickets cost $4 each. At one performance, there are 75 more adults than students.

Madeline is selling sketches for $2 and color prints for $5 at a fall festival. Madeline leaves the table and asks her friend Chris to run the table for her. She returns to find Chris has made $93. Chris doesn’t know how many of each item he sold, but he remembers that he sold a total of 30 sketches and colored prints. Below is Madeline’s work in determining how many of each item was sold. As Madeline was writing “p = 8.25”, she realized she had made a mistake. How did she know?

0.25 of a colored print cannot be purchased.

0.25 of a sketch cannot be purchased.

8 whole sketches cannot be purchased.

8 whole colored prints cannot be purchased.

Topic 4 TEST REMEDIATION

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

8.EE.C.8B, 8.EE.C.8C, HSA.REI.D.12

+3

Standards-aligned

Tiffany Coleman

Used 2+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

When solving this system of equations by elimination, which number would you multiply the second equation by to eliminate x?
10x+2y=30
2x+5y=60

1

10

5

2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Choose a system of inequalities for the graph.

Tags

CCSS.HSA.REI.D.12

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A school club is selling t-shirts. The function p(n)=150−3n represents the profit in dollars when n t-shirts are sold. If the club has 75
t-shirts to sell, what is the domain of this function?

All real numbers 0 to 75

All integers from 0 to 75

All real numbers

All multiples of 3 from 0 to 75

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Substitution would be the best method to solve which system of equations?

x+y=5

x-y=10

x-2y=6

y=3x+18

2x+4y=-8

6x-3y=18

10x+3y=30

-10x+y=10

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

SOLVE. x+4y=2
2x+5y=-2

(-6, 2)

(2, 3)

(0, 4)

(4, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The equations 2x+5y=45 and 2x+y=25 represent the money collected from ticket sales for a school play. Let x represent the cost of each adult ticket and y represent the cost for each student ticket.
How much would it cost to have a family of 4 adults and 2 students attend?

$45

$35

$25

$50

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

SOLVE. y=x+4
-2x+4y=20

(6, 2)

(2, 6)

(-2, -6)

(-6, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Topic 4 TEST REMEDIATION

20 questions

When solving this system of equations by elimination, which number would you multiply the second equation by to eliminate x?10x+2y=302x+5y=60

Choose a system of inequalities for the graph.

A school club is selling t-shirts. The function p(n)=150−3n represents the profit in dollars when n t-shirts are sold. If the club has 75t-shirts to sell, what is the domain of this function?

Substitution would be the best method to solve which system of equations?

SOLVE. x+4y=2 2x+5y=-2

The equations 2x+5y=45 and 2x+y=25 represent the money collected from ticket sales for a school play. Let x represent the cost of each adult ticket and y represent the cost for each student ticket. How much would it cost to have a family of 4 adults and 2 students attend?

SOLVE. y=x+4 -2x+4y=20

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Discover more resources for Mathematics

When solving this system of equations by elimination, which number would you multiply the second equation by to eliminate x?
10x+2y=30
2x+5y=60

A school club is selling t-shirts. The function p(n)=150−3n represents the profit in dollars when n t-shirts are sold. If the club has 75
t-shirts to sell, what is the domain of this function?

SOLVE. x+4y=2
2x+5y=-2

The equations 2x+5y=45 and 2x+y=25 represent the money collected from ticket sales for a school play. Let x represent the cost of each adult ticket and y represent the cost for each student ticket.
How much would it cost to have a family of 4 adults and 2 students attend?

SOLVE. y=x+4
-2x+4y=20