nc math 1 review

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you expand the expression (x + 2)(3x - 3)?

Back

To expand, use the distributive property: (x + 2)(3x - 3) = x(3x) + x(-3) + 2(3x) + 2(-3) = 3x^2 - 3x + 6x - 6 = 3x^2 + 3x - 6.

Tags

CCSS.HSA.APR.A.1

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given the equation 4x + 3y = 9?

Back

Rearrange to slope-intercept form: 3y = -4x + 9, then y = -\frac{4}{3}x + 3. The slope is -\frac{4}{3}.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

What is the solution set for the inequality 2x - y < 4?

Back

The solution set includes all points (x, y) that satisfy the inequality, represented graphically as a shaded region below the line y = 2x - 4.

Tags

CCSS.HSA.REI.D.12

Front

How do you calculate the mean of a data set?

Back

The mean is calculated by adding all the data points together and dividing by the number of points.

Tags

CCSS.6.SP.B.5C

Front

What happens to the mean and median when a very large number is added to a data set?

Back

The mean will increase, but the median may remain the same if the new number does not affect the middle value.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions are the values that satisfy all equations simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you represent the total number of coins in terms of nickels (n) and quarters (q)?

Back

The equation is n + q = 50, where n is the number of nickels and q is the number of quarters.

Tags

CCSS.HSA.CED.A.3