LINEAR EQUATIONS

Anika, Zoe, and Nora are on a treasure hunt. They found a map with a line equation and a clue that says 'Find the equation of the line that is parallel to this one and goes through the origin (0,0)'. Can you help them solve this clue?

• A. y=13x+4

• B. y=-3x+4

• C. y=-3x

• D. y=13x

Sophia, Ethan, and Maya are planning a surprise party and they need a plumber for some work. The plumber charges $25 for a service call in addition to $50 per hour for service. Can you help them figure out the cost? Write an equation for the cost of service using c for cost and h for hours.

• A. h = 50c+25

• B. c=50 + 25h

• C. c=25+50h

• D. h = 50 + 25c

Tags

CCSS.6.EE.C.9

Grace and Harper are on a treasure hunt. They found a map with a line that passes through two points: (-2, -3) and (4,3). Michael, being a math whiz, needs to write the equation of this line in slope-intercept form to help them find the treasure. Can you help Michael?

• A. y = x +1

• B. y = -x + 1

• C. y = x - 1

• D. y = -x - 1

Avery, Priya, and Charlotte are having a race up a hill. If you were to graph their progress, what type of slope would the graph have?

• A. Positive

• B. Negative

• C. Zero slope

• D. Undefined

Tags

CCSS.8.EE.B.5

Grace, Benjamin, and Abigail are running a toy factory. They found out that the cost c, in dollars, to produce n toys can be modeled by the linear equation c=6.5n+1500. Can you help them figure out the c-intercept and what it means in this context?

• A. The c-intercept is 6.5. This means the cost increases by $6.50 for each toy they produce.

• B. The c-intercept is 6.5. This means the number of toys they can produce increases by about 6.5 for each $1 increase in cost.

• C. The c-intercept is 1500. This means it costs $1500 to run the factory even if no toys are produced.

• D. The c-intercept is 1500. This means the factory can produce 1500 toys at no cost.

Tags

CCSS.HSF.LE.B.5

The linear equation p=2,376t + 73,219 estimates the number of college seniors p who graduated with a bachelor's degree in psychology t years after 2000. The linear equation b=2,376t + 56,545 models the number of college seniors b who graduated with a bachelor's degree in biology t years after 2000. Indicate by putting a checkmark in the appropriate column of the table whether each statement is true or false according to the given model.

Tags

CCSS.HSF.LE.B.5

Liam and Grace are having a friendly debate. Liam says the equations y=3x+2 and y=3x-3 represent the same line, while Grace thinks otherwise. Evelyn, their math whiz friend, says these lines are _________. Can you help them figure it out?

• perpendicular

• the same line

• parallel

• neither

Tags

CCSS.8.EE.C.8B

Scarlett, Daniel, and Priya are on a treasure hunt. They found a map with a clue that says 'Find the line that passes through the point (-3,4) and is perpendicular to y=32x+6'. Which of the following lines could be the one they are looking for?

• A. y=32x +6

• B. y=-23x-2

• C. y=23x+3

• D. y=-23x+2

 Nora, Arjun, and Jackson are on a treasure hunt. They found a map with a graph and a riddle. The riddle says: 'The treasure is hidden at the y-intercept  ________ ( Responses: (-3 , 0), (0, -3), (0, 4), (4,0) ) and to get there, you need to follow the slope  _________ ( Responses: -4/3, -3/4, 3/4, 4/3) . Can you help them find the treasure?

Henry and Abigail are on a treasure hunt. They found a map with a clue that says 'Find the equation of the line when the slope (m) is 2 and it passes through the point (-1,5)'. Can you help them solve this clue?