Algebra Representations of Two-Variable Relationships

A pair of values that makes all of the equations in a system true

• System of Equations

• Solutions to a System of Equations

• Equivalent Equations

• Equivalent Systems

Expressed as Ax+By=C  ,  where x and y are variables, and A, B, and C are numbers.

• Standard Form

• Slope-Intercept Form

• Model

• Constraint

Expressions that are equal not matter what value we use for the variable

• Equivalent Systems

• Equivalent Equations

• Equivalent Expressions

• System of Equations

Two or more equations that represent the constraints in the situation form.

• System of Equations

• Equivalent Equations

• Equivalent Expressions

• Solutions to a System of Equations

• A

• B

• C

• D

• A

• B

• C

• D

Two equations are shown below. Which of the statements best explains the relationship between the equations?

• In y = x + 3, the value of y is 3 more than the value of y = 3x.

• In y = 3x, the value of y is 3 times the value of y in the equation y = x + 3.

• In y = 3x, the value of y is three times the value of x, and in y = x + 3 the value of y is three less the value of x.

• In y = 3x, the value of y is three times the value of x, and in y = x + 3, the value of y is three more than the value of x.

Groceries are delivered by a local service. Their charge is shown by the equation below. Which table correctly displays the values represented by the relationship?

c = g + 5.75

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Tags

6.6C

Which table shows only values that represent the following relationship between q and r?
r = q + 10.1

• Table A

• Table B

• Table C

• Table D

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept

• Slope-Intercept Form

• Standard Form

• Constraint

• Model