Algebra 2 "Alg II Seeing Structure in Expressions" - Public Release

The expression x cubed minus 3 x squared minus 4 x plus 12 can be written as open parenthesis x squared minus a close parenthesis open parenthesis x minus b close parenthesis, where a and b are constants.

Determine the values of $a$ and $b$ and indicate them on the number line shown.

Select the places on the number line to plot the points.

The half-life of the isotope Francium‑223 is 22 minutes. For a sample that starts with $F$ grams of Francium‑223, the expression $F {(0.5)}^{\frac{m}{22}}$ represents the number of grams remaining after $m$ minutes.

Which expression represents the number of grams of Francium‑223 remaining after $h$ hours?

A.

$F, open parenthesis, 0.151, close parenthesis, raised to the power of h$
B.

$F {(0.5)}^{\frac{h}{60}}$
C.

$F, open parenthesis, 0.5, close parenthesis, raised to the power of 60 h$
D.

$F, open parenthesis, 0.969, close parenthesis, raised to the power of h$

KEYi2

Student uses $\frac{h}{60}$ as the exponent because there are $60$ minutes in an houri3

Student uses $60 h$ as the exponent because there are $60$ minutes in an houri4

Student uses ${0.5}^{\frac{1}{22}}$ as the base

This page shows questions in the Alg II Seeing Structure in Expressions public release module at MSDE. Algebra 2 "Alg II Seeing Structure in Expressions"

Icon representing a test question. 1. Algebra II 2024 Release, Question 8 (A.SSE.A.2.a) - No Calculator.

Icon representing a test question. 2. Algebra II 2024 Release, Question 28 (A.SSE.B.3.c) - Calculator.

This page shows questions in the Alg II Seeing Structure in Expressions public release module at MSDE. Algebra 2
"Alg II Seeing Structure in Expressions"