Equations and inequalities (one step)

Answer key — Equations and inequalities (one step)

1. 1.
   3one-step-equations-inequalities-01

   $x = 10 - 7 = \mathbf{3}$. Check: $3 + 7 = 10$ ✓. (Adding $7$ gives $17$, which does not check.)

2. 2.
   4.7one-step-equations-inequalities-02

   $x = 1.2 + 3.5 = \mathbf{4.7}$. Check: $4.7 - 3.5 = 1.2$ ✓.

3. 3.
   4.5one-step-equations-inequalities-03

   $x = \frac{18}{4} = \frac{9}{2} = \mathbf{4.5}$. Check: $4 \times 4.5 = 18$ ✓.

4. 4.
   (B)

   A closed circle at $2$ with an arrow pointing right

   one-step-equations-inequalities-04

   $x \ge 2$ includes $2$ (closed circle) and everything to its right (arrow right). Answer: closed circle at $2$, arrow right. An open circle would be for the strict inequality $x > 2$.

5. 5.
   (B)

   $h > 48$

   one-step-equations-inequalities-05

   “More than $48$” is $\mathbf{h > 48}$ — strict, so $48$ is excluded. ($h \ge 48$ would be “at least $48$.”)