ACT Aspire Math (Grade 8)

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Tags

CCSS.8.EE.A.3

Front

Convert 4.756×10^7 to standard notation.

Back

47,560,000

Tags

CCSS.8.EE.A.3

Front

What is a linear function?

Back

A function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Given the points (2, 5), (6, 7), and (k, 11), how do you find k if the function is linear?

Back

Use the slope formula to find k. The slope between (2, 5) and (6, 7) is the same as between (6, 7) and (k, 11).

Tags

CCSS.8.EE.B.6

Front

What are the coordinates of a point after a 90° clockwise rotation about the origin?

Back

The new coordinates (x', y') can be found using the transformation (x', y') = (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (4, 3) is rotated 90° clockwise, what are the new coordinates?

Back

(3, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a function rule?

Back

A mathematical expression that describes the relationship between input and output values.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the function rule for subtracting 5 from a number n and then doubling the result.

Back

p = 2(n – 5)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What defines a function in mathematics?

Back

A relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Which of the following is NOT a function: {(2, 3), (4, 7), (8, 6)} or {(2, 3), (2, 7), (8, 6)}?

Back

{(2, 3), (2, 7), (8, 6)} is NOT a function because the input 2 has two different outputs.

Tags

CCSS.8.F.A.1