John is trying to save for a new phone case. In his savings jar he has quarters and nickels. He has a total of 38 coins and $6.50. Let q be the number of quarters and n the number of nickels. Which equations best represent the system?

q + n = 38 and 0.25q + 0.05n = 6.50

q + n = 38 and 0.10q + 0.05n = 6.50

q + n = 38 and 0.50q + 0.10n = 6.50

q + n = 38 and 0.05q + 0.25n = 6.50

A math quiz has 25 questions. Some questions are worth 1/4 of a point and others are worth 1/2 of a point. There are a total of 9 points on the quiz. Let x be the number of questions worth 1/4 of a point, and y the questions that are 1/2 of a point. Which equations best represent the system?

x + y = 25 and (1/4)x + (1/2)y = 9

x + y = 9 and (1/4)x + (1/2)y = 25

x + y = 25 and (1/2)x + (1/4)y = 9

x + y = 9 and (1/2)x + (1/4)y = 25

At an amusement park, one customer paid $126.50 for 3 adult tickets and 4 children’s tickets. Another customer paid $120.50 for 2 adult tickets and 5 children’s tickets. Let a be the number of adult tickets and c the number of child tickets. Which equations best represent the system?

3a + 4c = 126.50 and 2a + 5c = 120.50

3a + 5c = 126.50 and 2a + 4c = 120.50

4a + 3c = 126.50 and 5a + 2c = 120.50

5a + 4c = 126.50 and 4a + 3c = 120.50

In a vegetable store, a customer paid $8.80 for 3 pounds of tomatoes and 5 pounds of potatoes. A second customer paid $15.15 for 7 pounds of tomatoes and 6 pounds of potatoes. Let x be the price of tomatoes and y the price of potatoes. Which equations best represent the system?

3x + 5y = 8.80 and 7x + 6y = 15.15

3x + 5y = 15.15 and 7x + 6y = 8.80

5x + 3y = 8.80 and 6x + 7y = 15.15

5x + 3y = 15.15 and 6x + 7y = 8.80

Torri, a vendor at the baseball park in Houston, sells soda and water. The water costs $1.00 and the soda costs $1.50. She sold 230 drinks for a total of $285. Let s be the number of sodas and w the number of waters. Which equations best represent the system?

s + w = 230 and 1.5s + 1w = 285

s + w = 285 and 1.5s + 1w = 230

s + w = 230 and 1s + 1.5w = 285

s + w = 285 and 1s + 1.5w = 230

Hailey and Rose are buying school supplies. Hailey buys 5 notebooks and 6 binders for a total of $25.45. Rose buys 4 notebooks and 8 binders for $30.60. Let x be the price of each notebook and y the price of each binder. Which equations best represent the system?

5x + 6y = 25.45 and 4x + 8y = 30.60

5x + 6y = 30.60 and 4x + 8y = 25.45

6x + 5y = 25.45 and 8x + 4y = 30.60

4x + 5y = 30.60 and 6x + 8y = 25.45

Which equations best represent the system?

y = - $$\frac{2}{3}$$ x + 4 and y = $$\frac{5}{6}$$ x - 5

y = $$\frac{2}{3}$$ x + 3 and y = - $$\frac{4}{3}$$ x - 2

Which equations best represent the system?

y = $$\frac{1}{4}$$ x + 4 and y = - $$\frac{1}{2}$$ x +1

y =- $$\frac{1}{4}$$ x -4 and y = - $$\frac{1}{2}$$ x +1

Which equations best represent the system?

y = 4x - 2, y = $$\frac{3}{2}$$ x -4.5

y = 4x + 2, y = - $$\frac{3}{2}$$ x +4.5

Which equations best represent the system?

y = -x + 3, y = $$\frac{1}{5}$$ x - 3

y = x + 3, y = $$\frac{1}{5}$$ x + 3

Which equations best represent the system?

Equation 1: -1x +2y = 20, Equation 2: 10x+y = 4

Equation 1: x + y = 10, Equation 2: x - y = 2

Equation 1: 2x + 3y = 12, Equation 2: x - y = 4

Equation 1: 3x + y = 9, Equation 2: 2x - 3y = 7

Daniel and Liz are selling cheesecakes for a school fundraiser. Daniel sold 14 pecan cheesecakes and 4 strawberry cheesecakes for a total of $118. Liz sold 7 pecan cheesecakes and 13 strawberry cheesecakes for a total of $191. Find the cost of each pecan cheesecake (x) and each strawberry cheesecake (y). What is the solution to the system?

Pecan cheesecake: $5, Strawberry cheesecake: $12

Pecan cheesecake: $6, Strawberry cheesecake: $8

Pecan cheesecake: $7, Strawberry cheesecake: $10

Pecan cheesecake: $8, Strawberry cheesecake: $7

Mathematics Quiz

Authored by Jarin Olley

Mathematics

9th Grade

CCSS covered

Used 1+ times

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35 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system?

Option A: (2, -3)

Option B: (-3, 4)

Option C: (5, -6)

Option D: (-7, 8)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system?

x = 3, y = 3

x = 1, y = 4

x = 0, y = 5

x = 3, y = 2

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system?

x = 5, y = -2

x = 1, y = -1

x = 0, y = 0

x = -2, y = 4

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system?

Option A: (-1,-6)

Option B: (-1,6)

Option C: (1,-6)

Option D: (1,6)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system?

No Solution

One Solution

Your mom

Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system?

(-4,3)

(3,-4)

(4,-3)

(-3,-4)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system?

(-1,4)

(4,-1)

(6,4)

(2,-1)

Tags

CCSS.8.EE.C.8B

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