Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. Which equation models Thato's walk uphill away from the base of the trail?

y = 2.5 x y\ =\ 2.5x y = 2 . 5 x

y = 2.5 x + 3.5 x + 6 y\ =\ 2.5x\ +\ 3.5\ x\ +\ 6 y = 2 . 5 x + 3 . 5 x + 6

y = 3.5 x + 6 y\ =\ 3.5x\ +\ 6 y = 3 . 5 x + 6

y = 6 − 3.5 x y\ =\ 6\ -\ 3.5x y = 6 − 3 . 5 x

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. Which equation models Edwin's walk downhill towards the base of the trail?

y = 6 − 3.5 x y\ =\ 6\ -\ 3.5x y = 6 − 3 . 5 x

y = 2.5 x + 3.5 x + 6 y\ =\ 2.5x\ +\ 3.5\ x\ +\ 6 y = 2 . 5 x + 3 . 5 x + 6

y = 2.5 x y\ =\ 2.5x y = 2 . 5 x

y = 3.5 x + 6 y\ =\ 3.5x\ +\ 6 y = 3 . 5 x + 6

Which is the solution to the system of equations? y=-\frac{3}{2}x-\frac{11}{2} y = − 2 3 x − 2 1 1 6 x + y = − 4 6x+y=-4 6 x + y = − 4

( 1 3 , − 6 ) \left(\frac{1}{3},\ -6\right) ( 3 1 , − 6 )

( − 2 3 , 0 ) \left(-\frac{2}{3},0\right) ( − 3 2 , 0 )

( 0 , − 11 2 ) \left(0,\ -\frac{11}{2}\right) ( 0 , − 2 1 1 )

( 2 , − 8 ) \left(2,\ -8\right) ( 2 , − 8 )

Stacy sells art prints for $12 each. Her expenses are $2.50 per print, plus $38 for equipment. Which system of equations represents Stacy's revenues (money earned) and expenses?

Revenue: y = 12x Expense: y = 2.5x + 38

Revenue: y = 12 + 2.5x Expense: y = 38

Revenue: y = 12 + 38x Expense: y = 38

Revenue: y = 12x Expense: y = 2.5 + 38x

Which system has the same solution as the system of equations shown? (which is the equivalent system) 4 x − 3 y = 4 2 x + 4 y = 3

4 x − 3 y = 4 −4 x + 8 y = 6

4 x − 3 y = 4 −4 x − 8 y = 6

16 x − 12 y = 4 6 x + 12 y = 3

Systems of Linear Equations

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Practice Problem

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CCSS

HSA.REI.C.6, HSA.CED.A.2, 8.EE.C.8A

+11

Standards-aligned

Caroline Cockrell

Used 14+ times

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21 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Lines that intersect once have __________.

no solutions

infinitely many solutions

one solution

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Lines that are parallel have __________.

no solutions

infinitely many solutions

one solution

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two equations that create the same line have _________.

no solutions

infinitely many solutions

one solution

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An ordered pair is in the form:

x, y

y, x

(x, y)

(y, x)

Tags

CCSS.5.G.A.1

CCSS.5.G.A.2

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Solve the system by graphing. Write the solution as an ordered pair.

$y=-3x+3$
$y=\frac{1}{2}x-4$

Write your answer in the form (x, y) or it will not score correct.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Choose the correct words from the drop-down menu to make a true statement about the system of equations.

$y=\frac{1}{3}x+2$
$x-3y=6$

infinitely many solutions

no solution

one solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which answer shows 8.7428 rounded to the nearest tenth?

8.7

8.74

8.743

Tags

CCSS.5.NBT.A.4

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Lines that intersect once have __________.

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Solve the system by graphing. Write the solution as an ordered pair. y=−3x+3y=-3x+3y=−3x+3 y=\frac{1}{2}x-4y=21​x−4 Write your answer in the form (x, y) or it will not score correct.

Choose the correct words from the drop-down menu to make a true statement about the system of equations. y=\frac{1}{3}x+2y=31​x+2 x−3y=6x-3y=6x−3y=6

Which answer shows 8.7428 rounded to the nearest tenth?

Write your answer in the form (x, y) or it will not be scored correct. Round to the nearest tenth if necessary.

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. Which equation models Thato's walk uphill away from the base of the trail?

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. Which equation models Edwin's walk downhill towards the base of the trail?

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Discover more resources for Mathematics

Solve the system by graphing. Write the solution as an ordered pair.

$y=-3x+3$
$y=\frac{1}{2}x-4$

Write your answer in the form (x, y) or it will not score correct.

Choose the correct words from the drop-down menu to make a true statement about the system of equations.

$y=\frac{1}{3}x+2$
$x-3y=6$

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail.

Which equation models Thato's walk uphill away from the base of the trail?

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail.

Which equation models Edwin's walk downhill towards the base of the trail?