Simplify the expression. − 144 \sqrt{-144} − 1 4 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

i 12 i\sqrt{12} i 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Simplify the expression. 5 24 5\sqrt{24} 5 2 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

10 6 10\sqrt{6} 1 0 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

7 4 7\sqrt{4} 7 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 6 2\sqrt{6} 2 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

15 2 15\sqrt{2} 1 5 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Simplify the expression. ( 4 − 5 i ) ( − 1 − 7 i ) \left(4-5i\right)\left(-1-7i\right) ( 4 − 5 i ) ( − 1 − 7 i )

− 39 − 23 i -39-23i − 3 9 − 2 3 i

31 − 23 i 31-23i 3 1 − 2 3 i

− 4 + 35 i -4+35i − 4 + 3 5 i

Simplify the expression. ( − 7 + 3 i ) + ( − 2 + 8 i ) \left(-7+3i\right)+\left(-2+8i\right) ( − 7 + 3 i ) + ( − 2 + 8 i )

− 9 + 11 i -9+11i − 9 + 1 1 i

− 5 − 5 i -5-5i − 5 − 5 i

Simplify the expression. − 9 + 5 i 3 − i \frac{-9+5i}{3-i} 3 − i − 9 + 5 i

− 33 + 6 i 10 \frac{-33+6i}{10} 1 0 − 3 3 + 6 i

− 33 + 24 i 8 \frac{-33+24i}{8} 8 − 3 3 + 2 4 i

− 22 + 6 i 8 \frac{-22+6i}{8} 8 − 2 2 + 6 i

− 33 + 24 i 10 \frac{-33+24i}{10} 1 0 − 3 3 + 2 4 i

Simplify the expression. 4 + 3 i 2 i \frac{4+3i}{2i} 2 i 4 + 3 i

4 i − 3 − 2 \frac{4i-3}{-2} − 2 4 i − 3

4 i + 3 2 \frac{4i+3}{2} 2 4 i + 3

4 i + 9 − 2 \frac{4i+9}{-2} − 2 4 i + 9

4 i − 9 2 \frac{4i-9}{2} 2 4 i − 9

Simplify the expression. ( 2 − 3 i ) ( 4 + 2 i ) + ( 5 − 7 i ) \left(2-3i\right)\left(4+2i\right)+\left(5-7i\right) ( 2 − 3 i ) ( 4 + 2 i ) + ( 5 − 7 i )

19 − 15 i 19-15i 1 9 − 1 5 i

Algebra 2 - Unit Test - Complex Numbers and Quadratics

Authored by Andrew Whitman

Mathematics

10th - 11th Grade

16 Questions

CCSS covered

Used 12+ times

Algebra 2 - Unit Test - Complex Numbers and Quadratics

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$\sqrt{-144}$

$-12i$

$i\sqrt{12}$

$12i$

$72i$

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$5\sqrt{24}$

$10\sqrt{6}$

$7\sqrt{4}$

$2\sqrt{6}$

$15\sqrt{2}$

Tags

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$\left(7+i\right)-\left(6-4i\right)$

$1+3i$

$1+5i$

$13-3i$

$13-5i$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$\left(4-5i\right)\left(-1-7i\right)$

$31-23i$

$-4+35i$

$-39-23i$

$15+8i$

Tags

CCSS.HSN.CN.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$\left(-7+3i\right)+\left(-2+8i\right)$

$14+24i$

$-9+11i$

$-5-5i$

$6+2i$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$\frac{-9+5i}{3-i}$

$\frac{-33+24i}{8}$

$\frac{-22+6i}{8}$

$\frac{-33+6i}{10}$

$\frac{-33+24i}{10}$

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$\frac{4+3i}{2i}$

$\frac{4i-3}{-2}$

$\frac{4i+3}{2}$

$\frac{4i+9}{-2}$

$\frac{4i-9}{2}$

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression.

$\left(2-3i\right)\left(4+2i\right)+\left(5-7i\right)$

$22+13i$

$24+3i$

$19-15i$

$13-7i$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve using the square root.

$2x^2-11=151$

$\pm9$

$\pm81$

$\pm3$

$\pm16$

Tags

CCSS.8.EE.A.2

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve using the square root.

$4x^2-10=-90$

$\pm2i\sqrt{5}$

$\pm2\sqrt{5}$

$\pm4i\sqrt{5}$

$\pm4\sqrt{5}$

Tags

CCSS.HSA-REI.B.4B

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Algebra 2 - Unit Test - Complex Numbers and Quadratics

Simplify the expression. −144\sqrt{-144}−144​

Simplify the expression. 5245\sqrt{24}524​

Simplify the expression. (7+i)−(6−4i)\left(7+i\right)-\left(6-4i\right)(7+i)−(6−4i)

Simplify the expression. (4−5i)(−1−7i)\left(4-5i\right)\left(-1-7i\right)(4−5i)(−1−7i)

Simplify the expression. (−7+3i)+(−2+8i)\left(-7+3i\right)+\left(-2+8i\right)(−7+3i)+(−2+8i)

Simplify the expression. −9+5i3−i\frac{-9+5i}{3-i}3−i−9+5i​

Simplify the expression. 4+3i2i\frac{4+3i}{2i}2i4+3i​

Simplify the expression. (2−3i)(4+2i)+(5−7i)\left(2-3i\right)\left(4+2i\right)+\left(5-7i\right)(2−3i)(4+2i)+(5−7i)

Solve using the square root. 2x2−11=1512x^2-11=1512x2−11=151

Solve using the square root. 4x2−10=−904x^2-10=-904x2−10=−90

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Simplify the expression.

$\sqrt{-144}$

Simplify the expression.

$5\sqrt{24}$

Simplify the expression.

$\left(7+i\right)-\left(6-4i\right)$

Simplify the expression.

$\left(4-5i\right)\left(-1-7i\right)$

Simplify the expression.

$\left(-7+3i\right)+\left(-2+8i\right)$

Simplify the expression.

$\frac{-9+5i}{3-i}$

Simplify the expression.

$\frac{4+3i}{2i}$

Simplify the expression.

$\left(2-3i\right)\left(4+2i\right)+\left(5-7i\right)$

Solve using the square root.

$2x^2-11=151$

Solve using the square root.

$4x^2-10=-90$