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Georgia Milestones Algebra linear equations, inequalities, and systems quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. Solve for xx: 3(x−2)=2x+73(x - 2) = 2x + 7.

  2. How many solutions does 2(x+3)=2x+52(x + 3) = 2x + 5 have?

  3. Solve the inequality −2x+5≤11-2x + 5 \le 11.

  4. A phrase says 'at most 30.' Which inequality symbol does this represent for a total cost CC?

  5. What is the slope and y-intercept of y=−23x+4y = -\frac{2}{3}x + 4?

  6. Find the x-intercept of 2x+3y=122x + 3y = 12.

  7. Write the slope-intercept equation of the line through (2,3)(2, 3) and (6,11)(6, 11).

  8. A pool has 200 gallons and fills at 15 gallons per minute. Which equation gives the volume VV after tt minutes?

  9. Solve the system y=2x+1y = 2x + 1 and 3x+y=113x + y = 11.

  10. Solve the system 2x+3y=122x + 3y = 12 and 2x−y=42x - y = 4.

  11. How many solutions does {y=3x+1y=3x−4\begin{cases} y = 3x + 1 \\ y = 3x - 4 \end{cases} have?

  12. For the inequality y>2x−3y > 2x - 3, the boundary line is drawn: