Solve linear equation for x (ACT) Practice Questions (Grade 8)

Question 1easy

If $4y = 3x + 1$ , which expression is equal to $x$ ?

Subtract $1$ from both sides: $4y - 1 = 3x$ . Divide both sides by $3$ : $x = \dfrac{4y - 1}{3}$ .

Question 2easy

If $y = 4x + 2$ , which expression is equal to $x$ ?

Subtract $2$ from both sides: $y - 2 = 4x$ . Divide both sides by $4$ : $x = \dfrac{y - 2}{4}$ .

Question 3easy

If $4y = x + 8$ , which expression is equal to $x$ ?

Subtract $8$ from both sides: $4y - 8 = x$ . So $x = 4y - 8$ .

Question 4medium

If $2y = 5x - 10$ , which expression is equal to $x$ ?

Add $10$ to both sides: $2y + 10 = 5x$ . Divide both sides by $5$ : $x = \dfrac{2y + 10}{5}$ .

Question 5medium

If $-2y = 4x + 8$ , which expression is equal to $x$ ?

Subtract $8$ from both sides: $-2y - 8 = 4x$ . Divide both sides by $4$ : $x = \dfrac{-2y - 8}{4}$ .

Question 6medium

If $6y = -3x + 9$ , which expression is equal to $x$ ?

Subtract $9$ from both sides: $6y - 9 = -3x$ . Divide both sides by $-3$ : $x = \dfrac{6y - 9}{-3} = -2y + 3$ .

Question 7medium

If $-3y = 2x - 6$ , which expression is equal to $x$ ?

Add $6$ to both sides: $-3y + 6 = 2x$ . Divide both sides by $2$ : $x = \dfrac{-3y + 6}{2}$ .

Question 8medium

If $5y = -2x + 4$ , which expression is equal to $x$ ?

Subtract $4$ from both sides: $5y - 4 = -2x$ . Divide both sides by $-2$ : $x = \dfrac{5y - 4}{-2} = \dfrac{-5y + 4}{2}$ .

Solve linear equation for x (ACT) practice