Mathematics - Powers, Roots, Area, Geometry, and Linear Relationships

Fill-in-the-blank practice flashcards covering foundational algebra, index laws, area formulas, geometric definitions, and linear equations.

Writing $3^7$ is called __________ form or index notation.

index

In the expression $3^7$, the number $3$ is called the __________ and the number $7$ is called the index.

base

The final calculated answer of an exponential expression, such as $2187$, is called a __________ numeral.

basic

The plural of the word index is __________.

indices

Any number raised to the power of $1$ equals __________.

itself

Any number raised to the power of $0$ equals __________.

$$1$$

To multiply two expressions that have the same base, the fast way is to __________ the powers.

add

According to Index Law 3, $a^m \times a^n =$ __________.

$$a^{m+n}$$

To divide two expressions that have the same base, the fast way is to __________ the powers.

subtract

According to Index Law 4, $a^m \div a^n =$ __________.

$$a^{m-n}$$

To calculate a power of a power, the fast way is to __________ the powers.

multiply

According to Index Law 5, $(a^m)^n =$ __________.

$$a^{mn}$$

Area is defined as the amount of __________ inside a shape.

space

The area formula for a parallelogram is $A =$ __________.

$$bh$$

The area formula for a triangle is $A =$ __________.

$$\frac{1}{2}bh$$

The area formula for a trapezium is $A =$ __________.

$$\frac{1}{2}(a+b)h$$

The area formula for a rhombus or kite with diagonals $x$ and $y$ is $A =$ __________.

$$\frac{1}{2}xy$$

The area formula for a circle with radius $r$ is $A =$ __________.

$$\pi r^2$$

The area formula for a sector with central angle $\theta$ and radius $r$ is $A =$ __________.

$$\frac{\theta}{360} \times \pi r^2$$

Complementary angles are two angles that add up to __________.

$$90^\circ$$

Supplementary angles are two angles that add up to __________.

$$180^\circ$$

Three or more points that lie on the same straight line are called __________.

collinear

A reflex angle is an angle whose size is between $180^\circ$ and __________.

$$360^\circ$$

Co-interior angles formed on parallel lines add up to __________.

$$180^\circ$$

An isosceles triangle is defined as a triangle with __________ sides equal.

$$2$$

The exterior angle of a triangle is equal to the sum of the two __________ interior angles.

remote

The sum of the interior angles of any quadrilateral is __________.

$$360^\circ$$

The formula to calculate the sum of the interior angles of an $n$-sided polygon is __________.

$$(n-2) \times 180^\circ$$

In the straight line equation $y = mx + c$, the value $c$ represents the __________.

$$y\text{-intercept}$$