Solving Linear Equations Practice

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NJ.MATH.9-12.A.REI.B.3

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NJ.MATH.9-12.A.REI.B.3

• Which of the following equations is a linear equation?

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NJ.MATH.9-12.A.REI.B.3

Match the following terms to their correct definitions.

• Solution

• A mathematical relationship showing that two expressions are not equal.

• Coefficient

• A mathematical statement asserting the equality of two expressions.

• Inequality

• A number or variable that multiplies a term in an expression.

• Variable

• A symbol used to represent an unknown quantity.

• Equation

• A value that satisfies an equation.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Complete the blank to create an equation to represent how many miles a customer drove if their total cost was $80. Then, solve for the number of miles driven.

​ (a)   ​ (b)   + (c)   = ​ (d)  

x = ​ (e)   miles

• 0.20
• x
• 50
• 80
• 150
• 0.02
• 30
• 130

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NJ.MATH.9-12.A.REI.B.3

NJ.MATH.9-12.A.REI.A.1

NJ.MATH.9-12.A.CED.A.1

• Subtract 5 from both sides to isolate the term with x.

• Divide both sides by 3 to solve for x.

• Add 20 to both sides and then divide by 3.

• Rewrite the equation as 3x=20−5

• Factor the equation to find the roots of x.

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NJ.MATH.9-12.A.REI.B.3

NJ.MATH.9-12.A.REI.A.1

Eleanor incorrectly solved the equation. Select the first step in which Eleanor makes an error.

• Step 1

• Step 2

• Step 3

• Step 4

• Step 5

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NJ.MATH.9-12.A.REI.B.3

NJ.MATH.9-12.A.REI.A.1

Use the choices to complete the steps in solving the linear equation.

a

b

c

d

1

21

30

6

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NJ.MATH.9-12.A.REI.B.3

NJ.MATH.9-12.A.REI.A.1

• 3
• -2
• -3
• 2
• -8
• 8