3.1 - 3.5 Review

Front

What is the process to evaluate an expression with given variable values?

Back

To evaluate an expression, substitute the given values for the variables into the expression and perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).

Tags

CCSS.6.EE.A.2C

Front

How do you solve a linear equation in one variable?

Back

To solve a linear equation, isolate the variable on one side of the equation by performing inverse operations (addition, subtraction, multiplication, division) on both sides.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 6j + 9.2 = -19?

Back

The solution is j = -4.7.

Tags

CCSS.7.EE.B.4A

Front

How do you solve for a variable in a fraction, such as \( \frac{q}{8} = 7 \)?

Back

To solve for q, multiply both sides of the equation by 8 to isolate q. Thus, q = 7 * 8 = 56.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 3g - 8 = 31.6?

Back

The solution is g = 13.2.

Tags

CCSS.7.EE.B.4A

Front

How do you solve for a variable when it is multiplied by a coefficient, such as in -42 = 6f?

Back

To solve for f, divide both sides of the equation by 6. Thus, f = -42 / 6 = -7.

Tags

CCSS.6.EE.B.7

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Tags

CCSS.7.NS.A.3

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, allowing you to find its value.

Tags

CCSS.6.EE.B.7

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form ax + b = c, where a, b, and c are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numerical factors that multiply the variables in an equation, affecting the slope and position of the line when graphed.