Lesson 15: Solving Equations with Rational Numbers | Unit 5: Rational Number Arithmetic

Multiple Choice

What is the value of $$t$$ in the equation $$\frac{2}{5}t=6$$ ?

• 5
• 15
• 20
• 10

Multiple Choice

What is the value of a in the equation $$-4.5 = a-8$$ ?

• -12.5
• 0
• 3.5
• 5.5

Multiple Choice

What is the value of $$p$$ in the equation $$\frac{1}{2}+p= -3$$ ?

• -\frac{7}{2}
• -rac{1}{2}
• -rac{3}{2}
• -rac{5}{2}

Multiple Choice

What is the value of x in the equation 12 = x * 3?

• 2
• 6
• 4
• 8

Multiple Choice

Solve the equation $$-12 = -3y$$ .

• 0
• 4
• -3
• -4

Multiple Choice

Which of the following equations represents a number added to a variable resulting in -8?

• x + 8 = -8
• x - 8 = -8
• x + 8 = 0
• x - 8 = 0

Multiple Choice

What is the solution to the equation where a number is multiplied by a variable and the result is $$\frac {\text{-}4}{5}$$ ?

• x = -\frac{4}{5 \cdot number}
• x = \frac{4}{5 \cdot number}
• x = -\frac{5}{4 \cdot number}
• x = \frac{-4}{number}

Multiple Choice

Jada and Priya are trying to solve the equation $$\frac23+x=4$$ . Jada says, “I think we should multiply each side by $$\frac32$$ because that is the reciprocal of $$\frac23$$ .” Priya says, “I think we should add $$-\frac23$$ to each side because that is the opposite of $$\frac23$$ .” Which person’s strategy is correct? Why?

• Priya's strategy is correct.
• Neither strategy is correct.
• Both strategies are correct.
• Jada's strategy is correct.

Multiple Choice

Jada and Priya are trying to solve the equation $$\frac23+x=4$$ . Which of the following equations can be solved using the other person’s strategy?

• 3x - 2 = 10
• x - 4 = -rac{2}{3}
• 2 + 3x = 12
• rac{1}{2} + x = 5

Multiple Choice

Solve the equation: $$(8.5) \cdot (-3) = a$$ . What is the value of $$a$$ ?

• -25.5
• -28.5
• 0
• 25.5