Leslie cleans the barns for the horses. Her time spent cleaning can be modeled by the equation y = 15 x + 30, where x represents the number of stalls that contains horses. What is the meaning of the y-intercept?

the time it takes to clean an empty barn

The time it takes to clean one horse

the time it takes to clean one stall

the times it takes to clean each of the stalls with a horse

David bought an industrial mixer for his dessert business. The machine cost $ 2,000,000. They informed him that in case he wanted to sell it and buy a new one, the machine was depreciating $ 16,000 per month. Write the function that represents the situations of the value of the machine V and the numbers of months m.

V ( m ) = − 16 , 000 m + 2 , 000 , 000 V\left(m\right)=-16,000m\ +\ 2,000,000 V ( m ) = − 1 6 , 0 0 0 m + 2 , 0 0 0 , 0 0 0

V ( m ) = − 16 , 000 m − 2 , 000 , 000 V\left(m\right)=-16,000m\ -\ 2,000,000 V ( m ) = − 1 6 , 0 0 0 m − 2 , 0 0 0 , 0 0 0

V ( m ) = − 2 , 000 , 000 m + 16 , 000 V\left(m\right)=-2,000,000m\ +\ 16,000 V ( m ) = − 2 , 0 0 0 , 0 0 0 m + 1 6 , 0 0 0

V ( m ) = 16 , 000 m − 2 , 000 , 000 V\left(m\right)=16,000m\ -\ 2,000,000 V ( m ) = 1 6 , 0 0 0 m − 2 , 0 0 0 , 0 0 0

David bought an industrial mixer for his dessert business. The machine cost $ 2,000,000. They informed him that in case he wanted to sell it and buy a new one, the machine was depreciating $ 16,000 per month. If the seller tells David that he receives the machine for $ 1,255,000 in 4 years, as credit for a new one. Is David getting a good offer? Explain.

Yes, In four year the cost of the machine will be $1,232,000. So this is a good offer.

No, In four year the cost of the machine will be $1,432,000. So this isn't a good offer.

Yes, he is going to receive 25% more of the the real value of the machine after four years of use.

No, He is going to receive 10% less of the real value of the machine after four years of use.

The total cost function is the variable cost times the number of unit produce plus the fixed cost. Ale & Vale's Brownies Company has a fixed cost of $80,000 and a variable cost of $700. Write the function and find how many brownies would they have to sell to have a total cost of $185,000?

C(x)=700x+80,000; They would have to sell 150 brownies.

C(x)=700x-80,000; They would have to sell 100 brownies.

C(x)=80,000x+700; They would have to sell 150 brownies.

C(x)=-700x+80,000; They would have to sell 250 brownies.

Kevin's car needed repairs. At Keinner's Luxury Cars charged him $640 for the parts and an additional $148 for each hour for labor. Write an equation that models this situation and tell How much money did Kevin have to pay if the mechanic worked 6 hours in his car?

y = 148x + 640; Kevin paid $1,528

y = 640x + 148; Kevin paid $3,988

y = 148x - 640; Kevin paid $248

Find the equation of a line parallel to 4x - y = 2, that goes through (-2,-5).

4 x − y = − 3 4x-y=-3 4 x − y = − 3

4 x + y = − 3 4x+y=-3 4 x + y = − 3

4 x − y = 3 4x-y=3 4 x − y = 3

Find the equation to the line perpendicular to y = − 2 3 x + 4 y=-\frac{2}{3}x+4 y = − 3 2 x + 4 that goes through (8, 1).

y = 3 2 x − 11 y=\frac{3}{2}x-11 y = 2 3 x − 1 1

y = 3 2 x + 11 y=\frac{3}{2}x+11 y = 2 3 x + 1 1

y = − 3 2 x − 11 y=-\frac{3}{2}x-11 y = − 2 3 x − 1 1

y = − 3 2 x + 11 y=-\frac{3}{2}x+11 y = − 2 3 x + 1 1

PRACTICE TEST LINEAR FUNCTIONS

Authored by Francisco Artuz

Mathematics

8th - 9th Grade

CCSS covered

Used 7+ times

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39 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

c = 2.75b + 4

c = 2.75b

c = 4b- 2.75

c = 2.75b - 4

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation.

y = 140x +48

y = -48x +140

y = 48x +140

y = 48x

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

h = 2C + 15

C = 15h + 2

h = 15C + 2

C = 2h + 15

Tags

CCSS.6.EE.C.9

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A music club membership costs $35 to start and $14 per cd. Write an equation.

C = 35 + 14

C = 35x +14

C = 14x + 35

none of these

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

4x=472

9x=472

4+9x=472

4+x=472

Tags

CCSS.HSA.CED.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which equation is being represented by this line?

y = -1x + 2

y = 1/2x + 2

y = 3x -4

y = -3x +2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write equation of the line containing (3,2) and (4,4)

y = 1/2x + 2

y = 2x - 4

y = 1/2x + 4 1/2

y = -2x + 12

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

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PRACTICE TEST LINEAR FUNCTIONS

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

A music club membership costs $35 to start and $14 per cd. Write an equation.

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

Which equation is being represented by this line?

Write equation of the line containing (3,2) and (4,4)

Write the equation of the line through the points (8, -7) and (-2, 8).

Write the equation of the line through the points (7, 8) and (-12, -11).

Write the equation of the line with slope -2 through the point (7, -1).

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