Match Equation with Word Problem

TANK SCENARIO

George has a 50 gallon fish tank that he needs to drain so he can clean it. He had to use a small hose so that it won't remove any fish, but that means only 2 gallons will drain each minute.

FIND THE EQUATION THAT MATCHES

• Y = 1/2 X + 50

• Y= -2X + 50

• Y= 3X- 40

• Y = 2X + 50

Answer explanation

Remember, we are DRAINING 2 gallons of water each minute. This means the SLOPE or RATE is -2 because it is the amount of water being subtracted from the total amount in the tank.

y = -2x + 50

DRESS SCENARIO

Jolene has saved $40 to pay for her new dress to wear to the 8th grade dance. She needs $120 total but only makes $3 an hour babysitting.

MATCH the EQUATION

• Y = 40X + 120

• Y = 4X + 5

• Y = 3X - 40

• Y = 3X + 40

Answer explanation

Since Jolene is earning money in order to purchase a dress, we are working with a POSITIVE slope/rate. This means she has $40 as her y-intercept (starting amount saved) and is adding $3 per hour she spends babysitting.

y = 3x + 40

Tags

CCSS.6.EE.C.9

MATCH THE EQUATION

• Y = 35 X + 2

• Y = 2X + 35

• Y = 2X - 35

• 2X + 35Y = 2

Answer explanation

The limousine is charging $35 upfront (y-intercept) with a rate/slope of $2 per mile. This is a positive slope because we are determining total cost.

y = 2x + 35

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MATCH THE EQUATION

• Y = 0.10 X + 75

• Y = 75X + 0.10

• X + 0.10Y = 75

• 0.10X + Y = 75

Answer explanation

Newspaper is earning $75 (y-intercept) along with an additional $0.10 per paper delivered. This RATE/Slope is being added to the total earnings they would receive.

y = 0.1x + 75

Tags

CCSS.6.EE.C.9

MATCH THE EQUATION

• 50X + 6Y = 1

• Y = 6X + 50

• Y = -6X + 50

• Y = 6X - 50

Answer explanation

Morris gets $50 upfront (y-intercept) and removes a rate/slope of $6 per washed car. This is a negative slope subtracted from the $50.

This allows Morris to know how much money is left based on car washes already used.

y = -6x + 50

Tags

CCSS.6.EE.C.9

MATCH THE QUESTION

• 10

• 12

• 14

• 15

Answer explanation

A = 0.5C + 10

A is allowance

C is number of chores completed

Putting $16 in for A would allow you to solve for c, chores completed.

16 = 0.5 c + 10 6/0.5 = c

-10 -10 12 = c

__________

6 = 0.5 c

Tags

CCSS.7.EE.B.4A

Jaime purchased a $20 bus pass. Each time she rides the bus, $1.25 is deducted from the pass. the linear equation y = -1.25x + 20 represents the amount of money on the bus pass after x rides. How much money would be left after 7 rides on the bus? (Write answers as example $17.42)

Tags

CCSS.HSF.LE.B.5