Equations and inequalities (Math 1)

High School Math 1 · Unit 4 · multi-step-equations-literals

multi-step-equations-literals

Name ______________________________Date ______________

1.
Solve $5x - 7 = 3x + 9$ .
Answer: ______________
2.
The area of a triangle is $A = \dfrac{1}{2}bh$ . Solve for $h$ . Enter your answer as an equation beginning with $h =$ .
Answer: ______________
3.
How many solutions does $3(2x - 1) + 4 = 6x + 1$ have?
1. (A)
  no solution
2. (B)
  exactly one solution, $x = 0$
3. (C)
  exactly one solution, $x = 1$
4. (D)
  infinitely many solutions
4.
Which describes all solutions of $-3 < 2x + 1 \le 7$ ?
1. (A)
  $x < -2$ or $x \ge 3$
2. (B)
  $-2 < x \le 3$
3. (C)
  $-1 < x \le 4$
4. (D)
  $-2 \le x < 3$
5.
The equation $a(x - 2) = 3x + b$ has infinitely many solutions. What is $a + b$ ?
1. (A)
  $-9$
2. (B)
  $-6$
3. (C)
  $-3$
4. (D)
  $3$
5. (E)
  $9$