Unit 5 Review

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you represent the total value of coins in a system of equations?

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You can represent the total value of coins by multiplying the number of each type of coin by its value and setting the sum equal to the total value.

Tags

CCSS.8.EE.C.8C

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Back

Front

What is the significance of the coefficients in a system of equations?

Back

The coefficients represent the rate of change or the value associated with each variable in the equations.

Tags

CCSS.8.EE.C.8B

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How do you solve a system of equations graphically?

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To solve graphically, plot each equation on the same graph and identify the point(s) where the lines intersect, which represent the solution(s).

Tags

CCSS.8.EE.C.8B

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What is the purpose of using variables in equations?

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Variables are used to represent unknown quantities in equations, allowing us to formulate and solve problems.

Tags

CCSS.7.EE.B.4A

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CCSS.8.EE.C.7B

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How can you check if a solution to a system of equations is correct?

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Substitute the solution values back into the original equations to see if they satisfy all equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the meaning of the solution (5, -8) in a system of equations?

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The solution (5, -8) indicates that the value of the first variable is 5 and the value of the second variable is -8.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines in a graph are parallel?

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If two lines are parallel, it means they have no points of intersection and therefore no solution to the system of equations.

Tags

CCSS.8.EE.C.8A