2023 8th grade Math December Final

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

Find the slope of the line that passes through (1, -19) and (-2, -7).

Back

Slope = (-7 - (-19)) / (-2 - 1) = 12 / -3 = -4

Front

What is the process to solve a linear equation for x?

Back

Isolate x by performing inverse operations on both sides of the equation.

Front

Solve the equation for x: 8x - 6x + 4 + 5 = 19.

Back

x = 5

Front

What is the square root of a number?

Back

The square root of a number x is a value that, when multiplied by itself, gives x.

Front

The √40 is between which two integers?

Back

6 and 7

Front

How do you compare decimal, fraction, and percentage values?

Back

Convert all values to the same format (decimal, fraction, or percentage) to compare.

Front

Place the numbers in order from least to greatest: π, 31%, -0.32, 1/3, 3.1.

Back

-0.32, 31%, 1/3, 3.1, π

Front

What is a function in mathematics?

Back

A function is a relation where each input has exactly one output.

Front

Does this mapping represent a function? (Example mapping: {1:2, 1:3})

Back

No, because the input 1 has two different outputs.