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ACT Math Algebra: linear equations, systems, quadratics, factoring, exponentials and the coordinate plane quiz quiz

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

  1. Solve for xx: 4(xβˆ’1)=2x+64(x - 1) = 2x + 6.

  2. What is the solution set of βˆ’3x+2<11-3x + 2 < 11?

  3. What is the solution (x,y)(x, y) to x+y=9x + y = 9 and xβˆ’y=1x - y = 1?

  4. How many solutions does the system y=3x+2y = 3x + 2 and y=3xβˆ’5y = 3x - 5 have?

  5. What are the solutions to x2βˆ’7x+10=0x^{2} - 7x + 10 = 0?

  6. How many real solutions does x2+2x+6=0x^{2} + 2x + 6 = 0 have?

  7. Which expression is equivalent to (3xβˆ’2)(x+5)(3x - 2)(x + 5)?

  8. Factor completely: x2βˆ’36x^{2} - 36.

  9. Solve for xx: 3x=813^{x} = 81.

  10. Solve for xx: xβˆ’2=4\sqrt{x - 2} = 4.

  11. What is the slope of the line through (2,1)(2, 1) and (6,13)(6, 13)?

  12. A line perpendicular to y=2x+3y = 2x + 3 has what slope?