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# Common Core Standard HSA-REI.B.4b Questions

Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

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Find the a, b, and c for this quadratic equation: $49-121x^2-170x=0$.
1. a = -170, b = -121. and c = 49
2. a = 49, b = -121, and c = -170
3. a = -121, b = 49, and c = -170
4. a = -121, b = -170, and c = 49
What is a, b, and c for this quadratic equation: $x^2+15x-61=0$?
1. a = 1, b = 15, and c = -61
2. a = -61, b = 15, and c = 1
3. a = 15, b = 1, and c = -61
4. a = -61, b = 1, and c = 15
Solve the quadratic equation: $(x-5)^2=-100$. What are the two solutions for the quadratic equation?
1. $x=5 or x=-5$
2. $x=10i or x=-10i$
3. $x=-5+10i or x=-5-10i$
4. $x=5+10i or x=5-10i$
What is the a, b, and c for this quadratic equation $0 = -100x+250+300x^2$ ?
1. a = -100, b = 300, c = 250
2. a = 300, b = 250, c = -100
3. a = 300, b = -100, c = 250
4. a = 250, b = -100, c = 300
Solve the quadratic equation $x^2+4=104$.
1. $x=10$
2. $x=+-10$
3. $x=-10$
4. None of the above
Solve the quadratic equation using the square root method $-5x^2+100=0$.
1. $x=2sqrt 5$
2. $x=+-2sqrt5$
3. $x = -2sqrt5$
4. None of the above
Solve the quadratic equation using the square root method: $-6x^2=-600$. What are the two solutions for the quadratic equation?
1. $x=10 or x=10$
2. $x=-10 or x=-10$
3. $x=10i or x=-10i$
4. $x=10 or x=-10$
Solve the quadratic equation: $x^2 - 324 =0$. What are the two solutions for the quadratic equation?
1. $x =18 or x =-18$
2. $x =18 or x =18$
3. $x =18i or x =-18i$
4. $x =-18 or x=-18$
Solve the quadratic equation: $x^2=-1225$. What are the two solutions for the quadratic equation?
1. $x=-35i or x=-35i$
2. $x=35i or x=-35i$
3. $x=35 or x=-35$
4. $x=35i or x=35i$
Solve the quadratic equation using the square root method: $4x^2 +100=0$. What are the two solutions for the quadratic equation?
1. $x=5 or x=-5$
2. $x=5i or x=-5i$
3. $x=5i or x=5i$
4. $x=-5 or x=-5$
Solve the quadratic equation: $7x^2+1=29$. What are the two solutions for the quadratic equation?
1. $x=2 or x=-2$
2. $x=2i or x=-2i$
3. $x=-2 or x=-2$
4. $x=2i or x=2i$
Solve the quadratic equation $x^2-256=0$.
1. $x=+-16$
2. $x=16$
3. $x=-16$
4. None of the above
Solve the quadratic equation using the square root method $x^2=1225$.
1. $x=35$
2. $x = +-35$
3. $x=-35$
4. None of the above
Solve the quadratic equation $x^2+4=104$.
1. $x=10$
2. $x=-10$
3. $x=+-10$
4. None of the above
What are the x-intercepts of the graph of $-x^2 +3x - 2 = y ?$
1. x = -1, x = -2
2. x = 1, x = 2
3. x = 1, x = -2
4. x = -1, x = 2
Solve the equation.
$m^2 - 25=0$
1. $x = 5$
2. $x = -5$
3. $x = +- 5$
4. $x = +- 12.5$
Solve the quadratic equation: $x^2 - 324 =0$. What are the two solutions for the quadratic equation?
1. $x =18 or x =-18$
2. $x =18 or x =18$
3. $x =18i or x =-18i$
4. $x =-18 or x=-18$
Solve the quadratic equation using the square root method:$x^2+1600=0$. What are the two solutions for the quadratic equation?
1. $x=40 or x=-40$
2. $x=40i or x=40i$
3. $x=40i or x=-40i$
4. $x=-40 or x=-40$
Solve the quadratic equation $x^2-256=0$.
1. $x=-16$
2. $x=16$
3. $x=+-16$