8th Grade Solving Systems of Equations - Worksheet & Printable

Mr. Stevens is 63 years older than his grandson, Tom. In 3 years, Mr. Stevens will be four times as old as Tom. How old is Tom?

A

17 years

B

18 years

C

20 years

D

22 years

Standard: 8.EE.8a

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A sum of money was invested at 15% simple interest per year. Twice that amount was invested at 5% per year. How much money was invested at 15% if the annual return on both investments was $1175 combined?

A

$6000

B

$5000

C

$4700

D

$4000

Standard: 8.EE.8a

Domain: Not available

Theme: Not available

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Which of the following best describes the relationship between the graphs of the equations in this system?

y = 2x - 6

y = -2x + 6

A

The lines intersect at the point (0, -3).

B

The lines intersect at the point (3, 0).

C

The lines do not intersect because their slopes are opposites and their y-intercepts are opposites.

D

They are the same line because their slopes are opposites and their y-intercepts are opposites.

Standard: 8.EE.8a

Domain: Not available

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Solve the system:

-4x + 7y = 26

4x + 7y = 2

A

x = -3, y = 2

B

x = 3, y = -2

C

x = -2, y = 3

D

x = 2, y = -3

Standard: 8.EE.8a

Domain: Not available

Theme: Not available

Description: Not available

Which of the following describes the solution set of this system?

y = 0.5x + 7

y = 0.5x - 1

A

The solution is (-2, -3) because the graphs of the two equations intersect at that point.

B

The solution is (0.5, 3) because the graphs of the two equations intersect at that point.

C

There is no solution because the graphs of the two equations are parallel lines.

D

There are infinitely many solutions because the graphs of the two equations are the same line.

Standard: 8.EE.8a

Domain: Not available

Theme: Not available

Description: Not available


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