Year 7 Mathematics - Quiz 4 Review

Vocabulary flashcards covering Year 7 Mathematics concepts including probability, integers, Cartesian coordinates, and algebraic expressions.

Probability of landing on 3 on a spinner

$\frac{1}{6}$, because the spinner has 6 equal sectors and 3 occupies 1 sector.

Evaluating $5a - 2$ when $a = 1$

$3$, calculated as $5(1) - 2 = 3$.

Temperature rise from $-2\,^\circ\text{C}$ to $24\,^\circ\text{C}$

$26\,^\circ\text{C}$, calculated as $24 - (-2) = 26$.

Adding a negative number

Equivalent to subtracting a positive number, such that $a + (-b) = a - b$.

Probability description for $P = \frac{1}{10}$

Unlikely, since a probability of $\frac{1}{10}$ indicates a low chance of occurring.

Coefficient of $x$ in $6y - 3 + 4x$

$4$, which is the numerical multiplier of the variable $x$.

Constant term in $6y - 3 + 4x$

$-3$, which is the term without any variables.

Number of terms in $6y - 3 + 4x$

$3$, consisting of the algebraic terms $6y$, $-3$, and $4x$.

Expression vs Equation

An expression (such as $6y - 3 + 4x$) does not contain an equals sign, whereas an equation equates two expressions.

Integer representation of debt and altitude

Altitude above sea level is represented by a positive integer (e.g., $+23000$), while debt is represented by a negative integer (e.g., $-7$).

Expression for the product of $m$ and $n$

$$mn$$

Expression for 4 less than $p$

$$p - 4$$

Probability of picking a king from a standard deck of cards

$\frac{1}{13}$, calculated as $\frac{4}{52}$ in simplest form.

Coordinates of point J on the Cartesian plane

$$(6, -6)$$

Location of the point $(-2, 4)$ on the Cartesian plane

Quadrant II (Second Quadrant), where the x-coordinate is negative and the y-coordinate is positive.

Simplifying $8ab - 3a + 3ba + 6a$ by collecting like terms

$11ab + 3a$, obtained by adding $8ab + 3ba = 11ab$ and $-3a + 6a = 3a$.

Simplifying $3x \times 2xy \times (-2y)$

$$-12x^2y^2$$

Experimental probability of Heads from coin tosses

$\frac{14}{25}$ (or $0.56$), calculated as $\frac{84}{150}$.

Simplified perimeter expression of a trapezium

$2x + 15$, calculated by summing $(x + 5) + 4 + (x + 2) + 4$.

Simplified perimeter expression of an arrow shape

$13.5x - 2$, calculated by summing $1.5x + (3x - 1) + x + 2x + 2x + x + (3x - 1)$.

Evaluating $6 \div 2(1 + 2)$ using order of operations

$9$, since brackets are evaluated first to give $6 \div 2 \times 3$, followed by left-to-right division and multiplication.