MO MAP Algebra II Number and Quantity. Practice it free.

Deepens work with complex numbers and advanced expressions. This Algebra II reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Algebra II8 mapped skills
What the test measures

Number and Quantity skills

  1. Extend the properties of exponents to rational exponents

  2. Use properties of rational and irrational numbers

  3. Perform arithmetic operations with complex numbers

Standards basis

Missouri Learning Standards (Mathematics K-5 and Mathematics 6-12; revised standards approved April 19, 2016) — Missouri

How the MO MAP reports it

Missouri’s MAP math is built from the Missouri Learning Standards and the state’s item specifications, not from a separate national testing framework. The standards are closely CCSS-aligned in structure, with grade-level and course-level domains used as the native reporting/coverage structure.

Blueprint & weighting

Missouri publishes grade-level and EOC blueprints, but the accessible official pages in this pass did not expose the domain-by-domain percentage tables. The assessment page states that item specifications organize expectations by domains/strands and that blueprints are available for grade-level and EOC assessments.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 54+24\sqrt{54}+\sqrt{24}?

54=96=36\sqrt{54}=\sqrt{9 \cdot 6}=3\sqrt{6} and 24=46=26\sqrt{24}=\sqrt{4 \cdot 6}=2\sqrt{6}. Adding like radical terms gives 36+26=563\sqrt{6}+2\sqrt{6}=5\sqrt{6}.

Practice playmedium

If p\Large p and q\Large q are positive, which expression is equivalent to p18q126\Large \sqrt[6]{p^{18} q^{12}}?

Divide each exponent by 6\Large 6: p186q126=p3q2\Large p^{\tfrac{18}{6}} q^{\tfrac{12}{6}} = p^3 q^2.

Practice playmedium

The safe descent speed, in miles per hour, on a certain ramp can be estimated by multiplying the height of the ramp, in feet, by 5050 and then taking the square root of the product. According to this method, what is the estimated safe descent speed, in miles per hour, on a ramp that is 2828 feet high?

The product is 2850=140028 \cdot 50 = 1400. Factor 1400=100141400 = 100 \cdot 14, where 100100 is the largest perfect-square factor. So 1400=10014=1014\sqrt{1400} = \sqrt{100 \cdot 14} = 10\sqrt{14}, and 14=2714 = 2 \cdot 7 is square-free.

Practice playeasy

Simplify: 272/327^{2/3}.

272/3=(273)2=32=927^{2/3} = (\sqrt[3]{27})^2 = 3^2 = 9.

Practice playmedium

Which expression is equivalent to 4050\sqrt{4050}?

4050=45224050 = 45^2 \cdot 2, so 4050=452\sqrt{4050} = 45\sqrt{2}.

Practice playhard

Multiply: (53i)(2+i)(5-3i)(-2+i).

Expand: (53i)(2+i)=10+5i+6i3i2(5-3i)(-2+i)=-10+5i+6i-3i^{2}. Since i2=1i^{2}=-1, this is 10+11i+3=7+11i.-10+11i+3=-7+11i\textsf{.}

Practice playeasy

What is (4i)2(4i)^2?

(4i)2=16i2=16(1)=16(4i)^2 = 16i^2 = 16(-1) = -16.

Practice playeasy

Given i=1i = \sqrt{-1}, what is 4+16\sqrt{4} + \sqrt{-16}?

4=2\sqrt{4} = 2 and 16=4i\sqrt{-16} = 4i. So 4+16=2+4i\sqrt{4} + \sqrt{-16} = 2 + 4i.

Keep practicing

Turn number and quantity into game time.

The MO MAP placement starts with this test's real coverage map and finds the right difficulty.