Original Round 1 Math Competition

Jenny is solving a linear equation

12 + 3x - 5 = 8x + 8 - 5x

Her two final steps are:

7 + 3x = 3x + 8

7 = 8

Select the statement that correctly interprets Jenny's solution.

• The solution is the ordered pair (7, 8).

• The solution is x = 0.

• There are infinitely many solutions since 7 = 8 is a false statement.

• There is no solution since 7 = 8 is a false statement.

Martin knows that the relationship between the number of gallons of gasoline his car uses, g, and the number of miles he travels, m, is proportional.

Which equation could represent this relationship?

• ^{m = 26.5 + g}

• ^{m = 28g}

• ^{m = 31.5/g}

• mg = 36

Select the statement that correctly describes the solution to the system of equations.

4x + y = 8

2x - 3y = 4

• There are infinitely many solutions.

• There is exactly one solution at (0, 2).

• There is no solution.

• There is exactly one solution at (2, 0).

All 8th grade students at a school answered Yes or No to the two survey questions shown.

-Have you ridden on a city bus in the last year? YES NO

-Have you taken a taxi in the last year? YES NO

The same students respond to both questions.

Complete the two-way frequency table to show the correct totals for the given data.

What would be the total where the "?" Question mark is located?

• 400

• 95

• 120

• 275

The graph represents a linear function.

Select the equation represented by the graph.

• 
• 
• 
• 

Jeremy writes the equation y = 1+ 1/2x

Why is Jeremy equation incorrect?

What is the correct equation?

• 
• 
• 
• 

• 7

• 8

• 26

• 25

• between 18.4 and 18.6

• between 6.0 and 6.2

• between 2.1 and 2.3

• between 6.9 and 7.1

What is the value of x. Round your answer to the nearest hundredth.

• 3.04

• 3.03

• 3.4

• 3.35

Select all that are true.

Select all the apply.

• Triangle LMN is reflected across the y-axis.

• Triangle LMN is reflected across the x-axis.

• Triangle LMN is translated 12 units left.

• Triangle LMN and Triangle L'M'N' are congruent.