Linear Equations Quiz

Harper, Lily, and Rohan are on a hiking adventure and they come across a steep hill. They wonder how steep the hill is. Rohan remembers the equation y = mx + b from his math class. Can you help them figure out what 'm' indicates in this equation?

• The artistic design of the hill

• The plus sign in the equation

• The steepness or slope of the hill

• The fee they need to pay for calculating the slope

Answer explanation

In the equation y = mx + b, 'm' represents the slope of the hill. It indicates the steepness or incline of the hill.

Luna, Sophia, and Daniel are part of their school's drama club. They are excited about designing custom shirts for their upcoming play. Each shirt costs $9.50 and there is a one-time design fee of $22.50. They are trying to calculate the total cost for ordering x number of shirts. Can you help them figure out the correct equation?

• y = 9.5 + 22.5

• y = 9.50x + 2.25

• y = 9.50x + 22.50

• y = 9.5 + 2.25x

Answer explanation

The correct equation to calculate the total cost for ordering x number of shirts is y = 9.50x + 22.50. This equation includes the cost per shirt ($9.50) multiplied by the number of shirts (x) and the one-time design fee ($22.50).

James, Arjun, and Isla are on a thrilling adventure in a bustling city. They decide to take a taxicab to their next destination. The taxicab company has a unique pricing policy - an initial fare of $2.50 and an additional $0.3 per mile. If the total fare for their ride is represented by the equation y = 0.3x + 2.5, what does the slope in this equation represent in their adventurous journey?

• The initial fare of $2.50

• The additional charge per mile of $0.03

• The total fare for the ride

• The additional charge per mile of $0.3

Answer explanation

The slope in the equation represents the additional charge per mile of $0.3.

Evelyn, Maya, and Lily chipped in to give Sophia a $25 gift card for her favorite coffee cafe. Each time Sophia buys a medium coffee, it costs her $2.50. The equation y = 25 - 2.50x represents the amount left on the gift card after each coffee purchase. Can you help Sophia figure out the y-intercept in this equation?

• 0.25

• 0

• 2.50

• 25

Answer explanation

The y-intercept is the value of y when x is 0. In the equation y = 25 - 2.50x, when x is 0, y is 25. Therefore, the y-intercept is 25.

Imagine Ava, Henry, and Kai are on a thrilling adventure, exploring a hill in their neighborhood. They come across a steep slope and decide to calculate its steepness. They remember the equation y = mx + b from their math class. In this equation, what does 'm' represent?

• The steepness of the hill

• The fee they have to pay to climb the hill

• The plus sign in the equation

• The design of the hill

Answer explanation

The 'm' in the equation y = mx + b indicates the steepness of the hill.

William, Ethan, and Mia are on a mission to create some cool custom shirts for their school's charity event. Each shirt has a price tag of $9.50 and there's a one-time design fee of $22.50. Can you help them figure out the equation to calculate the total cost for buying x number of shirts?

• y = 9.50x + 22.50

• y = 9.50x + 2.25

• y = 9.5 + 2.25x

• y = 9.5 + 22.5

Answer explanation

The equation y = 9.50x + 22.50 can be used to find the total cost for Abigail to buy x shirts. This equation includes the cost per shirt ($9.50) multiplied by the number of shirts (x), plus the one-time design fee ($22.50).

Arjun, Nora, and Daniel decided to share a taxicab ride after a fun day at the amusement park. The taxicab had an initial charge of $2.50, which made them think about their math class. They also noticed an additional charge of $0.3 per mile. If they were to represent the total fare with the equation y = 0.3x + 2.5, what would the slope in this equation represent?

• $0.3 per mile

• $2.5 initial charge

• $0.03 per mile

• $25 per mile

Answer explanation

The slope in the equation represents the additional charge per mile, which is $0.3.

Imagine this, Ava, Hannah, and Benjamin chipped in to give Nora a $25 gift card for her favorite coffee shop. Each time she buys a medium coffee, it costs her $2.50. The equation y = 25 - 2.50x represents the amount left on Nora's gift card after x number of coffees. Can you tell what the y-intercept represents in this coffee-filled scenario?

• The cost of each coffee

• The amount Nora initially had on her gift card

• The number of coffees Nora can buy

• The amount Nora has left after buying one coffee

Answer explanation

The y-intercept represents the amount Nora initially had on her gift card.

During a fun math game, Aiden, Anika, and Oliver are trying to solve a puzzle. They come across the equation y = mx + b, which represents a line. Can you help them figure out what the 'm' in the equation stands for in real-world terms?

• The artistic design of the line

• The fee to calculate the line

• The slope or steepness of the line

• The number of each point on the line

Answer explanation

The 'm' in the equation represents the slope of the line.

Imagine this! Liam, Olivia, and James are part of the school's event planning committee. They've decided to create custom shirts for everyone. Each shirt costs $9.50 and there's a one-time design fee of $22.50. If each of them wants to buy x shirts, which equation can be used to calculate the total cost?

• y = 9.5 + 22.5

• y = 9.50x + 2.25

• y = 9.5 + 2.25x

• y = 9.50x + 22.50

Answer explanation

The correct equation to find the total cost is y = 9.50x + 22.50. This equation accounts for the cost of each shirt ($9.50) multiplied by the number of shirts (x), and the one-time design fee ($22.50).