8th Grade Math Review

Angles

100

Two angles are said to be supplementary if their sum is this

180 degrees

200

The Angle Sum Theorem states that the sum of the angles in ANY triangle is this

180 degrees

300

These are congruent angles that are on opposite sides of the transversal and on the exterior of parallel lines

Alternate Exterior Angles

400

These congruent angles are on opposite sides of a transversal and on the inside of a set of parallel lines

Alternate Interior Angles

500

These are congruent angles on the same side of a transversal, one being inside the parallel lines and one outside the parallel lines. Also known as being found in "matching corners"

Corresponding Angles

Linear Equations

100

This equation always results in a line when graphed, where m is the slope and b is the y intercept

y = mx + b

200

These are the two ways we've found the slope of a line (one way is on a graph, the other when given ordered pairs on the line)

rise / run and the slope formula

300

If you are given a line on a graph with a rise of -4, run of -2, has a y intercept of -6, and x intercept of 3, this is the equation of the line 

y = 2x - 6

400

This is the equation of the line with a slope of 1/2 and passes through the point (8, 10)

y = 0.5x + 6

500

This is the equation of the line that passes through (5, -13) and (-4, 14)

y = -3x + 2

Systems of Equations

100

To solve a linear system by graphing, you must find where the two lines do this

Intersect

200

To solve the system of equations x = 3y + 4 and 5x - 7y = 23, you would most likely use this method

Substitution

300

If two linear equations have the same slope and the same y intercept, they are the same line. This means that the solution to the system is this

Infinite solutions (on the line)

400

If a linear system of equations has the same slope and different y intercepts, the system has this solution

No solution (they are parallel)

500

The sum of x and y in the system below is this integer

y = 4x + 2          

-7x + 2y = 9

(5, 22)

Pythagorean Theorem

100

The Pythagorean Theorem only works with right triangles. In the right triangle, the ______ must be A and B while the ______ must be C

legs, hypotenuse

200

Right triangles with Integer values for legs and hypotenuse are known as this. 

Example: 3, 4, 5 and 5, 12, 13

Pythagorean Triples

300

Does the phrase below correctly state the Pythagorean Theorem

The length of the hypotenuse squared is equivalent to the sum of the squared legs. 

YES

400

If a triangle has legs of 7 and 12, what is the perimeter of the triangle? (round to nearest hundredth)

32.89

500

A triangle has legs of 17 and 32, and a hypotenuse of 36. Is this a right triangle? Explain why or why not

NO, the Pythagorean Theorem does not work. 

Exponents

100

Any value raised to the zero power is this

ONE

200

This is the rule for multiplying same base exponents

Multiply coefficients, base stays the same, add the exponents

300

This is the rule for dividing same base exponents

Divide the coefficients, base stays the same, subtract the exponents

400

This is the rule for raising a power to another power

Multiply the exponents, base stays the same

500

This is the rule for a negative exponent

Base and exponent move to other side of fraction bar, base stays the same, exponent becomes positive