8th Grade Math CBA Review

Vocabulary practice flashcards covering real number classifications, scientific notation, solving linear equations, geometric tile and balance scale models, inequalities, and scatterplot interpretations from the 8th Grade CBA Review.

Exoplanet Mass Ordering (Greatest to Least)

The correct sequence ordering the four mass estimates from greatest to least: $\frac{4}{9}$ ($\approx 0.444$), $\frac{\pi}{15}$ ($\approx 0.209$), $\frac{\sqrt{5}}{13}$ ($\approx 0.172$), and $\frac{11}{200}$ ($= 0.055$).

Classification of the Set $\{-\frac{28}{7}, 18, \sqrt{64}, -95\}$

Because the set simplifies to the integers $\{-4, 18, 8, -95\}$, the correct subset classifications that apply to all members are Integers (II), Rational numbers (III), and Real numbers (IV).

Scientific Notation of $0.000964$

The representation of the decimal $0.000964$ expressed in scientific notation: $9.64 \times 10^{-4}$.

Standard Form of $4.2 \times 10^6$

The standard integer equivalent to the scientific notation $4.2 \times 10^6$: $4,200,000$.

Ordering Real Numbers: Pop Quiz Set

The numbers in the set $\{\frac{5}{12}, -1.15, \sqrt{14}, \frac{9}{2}, -\sqrt{8}\}$ arranged from least to greatest: $-\sqrt{8}$, $-1.15$, $\frac{5}{12}$, $\sqrt{14}$, $\frac{9}{2}$.

Solution to $\frac{1}{2}x + 6 = \frac{5}{6}x + 4$

The value of $x$ that satisfies the equation by subtracting $\frac{1}{2}x$ and $4$: $x = 6$.

Solution to $3(x + 4) = 2x + 15$

The value of $x$ obtained after expanding using the distributive property ($3x + 12 = 2x + 15$): $x = 3$.

Algebra Tile Model Equation (Problem 8)

The linear equation modeled by $4$ positive $x$ triangles and $8$ negative unit squares equal to $3$ negative $x$ triangles and $13$ positive unit squares: $4x - 8 = -3x + 13$, which simplifies to $x = 3$.

Balance Scale Model Equation (Problem 9)

The linear equation represented by the balanced scale with $3$ positive $y$ triangles and $4$ positive $1$ circles balancing $1$ negative $y$ triangle and $6$ negative $1$ circles: $3y + 4 = -y - 6$, which solves to $y = -2.5$ (or $-\frac{5}{2}$).

Absences vs. Exam Scores Prediction

According to the trend line in Mrs. Collins' scatterplot, the predicted final exam score for a student having $6$ absences is approximately $76$.

Iced Tea Sales Prediction

Based on the linear pattern in the 7-day scatterplot, the best prediction for servings of iced tea sold when the food trailer serves $80$ customers is $53$.

Values Greater than $\pi$

The two numbers whose values exceed $\pi$ ($\approx 3.14159$): $\frac{23}{7}$ ($\approx 3.286$) and $\sqrt{10}$ ($\approx 3.162$).

Solution Values for $x > \frac{28}{5}$

The three values that satisfy the inequality $x > 5.6$: $\sqrt{34}$ ($\approx 5.83$), $\frac{19}{3}$ ($\approx 6.33$), and $2\sqrt{11}$ ($\approx 6.63$).