CHEM1200 FALL 2026 - MATHS REVIEW ACTIVITY 12

A set of vocabulary and calculation-based flashcards derived from a foundational mathematics review covering algebra, ratios, percentages, averages, and graph interpretation.

PEMDAS

The order of operations used to solve or simplify mathematical expressions.

$$3(9+1)+\frac{36}{2}$$

The result of this PEMDAS simplification is $48$.

$$4+5 \times (6-2)$$

The result of this PEMDAS simplification is $24$.

$$4+10 \times 2-16$$

The result of this PEMDAS simplification is $8$.

$$2x-15=8$$

When rearranged to solve for $x$, the value is $x=11.5$.

$$H=WQX$$

When rearranged to solve for $x$, the equation is $x=\frac{H}{WQ}$.

$$Y=\frac{T+G}{X}$$

When rearranged to solve for $x$, the equation is $x=\frac{T+G}{Y}$.

$$18KRX=\frac{E}{F}$$

When rearranged to solve for $x$, the equation is $x=\frac{E}{18KRF}$.

$$15G-x=W$$

When rearranged to solve for $x$, the equation is $x=15G-W$.

$$(2w)^{3}(2w)$$

The simplification of this expression is $16w^{4}$.

1995 Ratio of Women to Men

Based on $78$ women and $162$ men, the ratio is $13:27$.

1996 Chemistry Women Enrollment

With $193$ men and a ratio of $13:27$, the number of women is $93$.

Ammonia Nitrogen Count

In a $1:3$ ratio of nitrogen to hydrogen with $1425$ hydrogen atoms, there are $475$ nitrogen atoms.

$27\%$ to Decimal

The decimal equivalent is $0.27$.

$0.87$ to Percentage

The percentage equivalent is $87\%$.

$3.55\%$ to Decimal

The decimal equivalent is $0.0355$.

$25\%$ of $32$

The calculated value is $8$.

$80\%$ of $35$

The calculated value is $28$.

Arithmetic Mean Application

The mean of $80, 90, 91, 97, 90, 72, 78, 93$ is $86.375$.

Weighted Mean Application

The mean of $80, 90, 91$ with weights of $55\%$, $22\%$, and $23\%$ is $84.73$.

$$(4.1 \times 10^{23}) \times (8.0 \times 10^{3})$$

The result of this calculation is $3.3 \times 10^{27}$.

$$(3.2 \times 10^{4}) / (6.8 \times 10^{3})$$

The result of this calculation is approximately $4.71$.

X-axis Label and Units

The label is Time and the units are minutes.

Y-axis Label and Units

The label is Temperature and the units are ${}^{\circ}\text{Celsius}$.

Constant Temperature Interval

The temperature remains constant during the interval of $4-7.5\,\text{minutes}$.

Temperature at $4\,\text{minutes}$

According to the graph, the temperature is $90\,{}^{\circ}\text{Celsius}$.