Back to Exercise: Solve linear equations with rational number coefficients

Solving Linear Equations with Rational Number Coefficients

Work through each section in order. Solve each equation completely and, where asked, check your solution by substituting it back into the original equation. Show your work.

Grade 8·21 problems·~30 min·Common Core Math - Grade 8·standard·8-ee-c-7b
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A

Recall / Warm-Up

1.

To check whether x=4x = 4 is a solution of 2x+3=112x + 3 = 11, what should you do?

2.

Solve 23x=6\frac{2}{3}x = 6.

3.

Solve 4(x3)=204(x - 3) = 20. Enter the value of xx.

B

Fluency Practice

1.

Solve 13x+4=10\frac{1}{3}x + 4 = 10. Enter the value of xx.

2.

Solve 25x12=310\frac{2}{5}x - \frac{1}{2} = \frac{3}{10} by clearing fractions. Enter the value of xx.

3.

Solve 0.6x+2.4=7.20.6x + 2.4 = 7.2.

4.

Solve 3(2x4)+5=2(x+3)3(2x - 4) + 5 = 2(x + 3).

5.

Solve 5x+32x=7x95x + 3 - 2x = 7x - 9.

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