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In this lesson, we will learn how to solve equations involving rational numbers by finding the solution set of a given linear equation.

Q1:

Determine the value of π₯ , given that π₯ β 1 1 7 = 5 1 7 .

Q2:

Determine the value of π₯ , given that π₯ β 1 5 = 3 5 .

Q3:

A truck traveled 220 miles in 7 1 3 hours. On average, how many miles per hour did it travel?

Q4:

1 5 1 9 Γ· = 1 4 1 9 .

Q5:

1 4 2 7 Γ· = 1 5 6 .

Q6:

1 6 Γ· 4 β― = 1 2 .

Q7:

1 4 2 3 Γ = 1 .

Q8:

Γ 3 2 7 = 1 .

Q9:

Bassem drove for 5 1 5 hours at 79 miles per hour. About how many miles did he drive?

Q10:

Solve the following equation: 1 . 5 π₯ = β 4 7 .

Q11:

Fill in the blanks.

Q12:

2 4 4 4 Γ· 8 β― = 1 1 2 .

Q13:

Solve β 5 7 π₯ = 1 7 .

Q14:

Solve 5 7 π₯ = 4 7 .

Q15:

Solve 3 5 π₯ = β 4 5 .

Q16:

Solve 1 2 π₯ = β 5 6 .

Q17:

Solve β 3 4 π₯ = β 1 8 .

Q18:

Two students tried to solve the equation π₯ + 1 2 = β 7 8 . The first student added 1 2 to both sides, while the second subtracted 1 2 from both sides. Determine which student was correct, and then solve for the variable.

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