Solving Equations and Functions

Miss Icraft guides students through Unit 2, Lesson 14 practice problems, focusing on solving systems of equations using elimination, discussing the benefits of addition over subtraction, solving word problems with variables, and matching equations with given slopes and y-intercepts. The lesson emphasizes algebraic manipulation and problem-solving strategies.

What is the solution to the system of equations if 10x = 70?

• x = 14

• x = 7

• x = 5

• x = 10

Why might addition be preferred over subtraction when solving systems of equations?

• Addition can eliminate terms more easily

• Addition is faster

• Addition is more accurate

• Addition is less prone to mistakes

In Quan's problem, what does the variable F represent?

• Full boxes

• Half boxes

• Fruit sold

• Money earned

How much does Quan earn for each full box sold?

• $2

• $3

• $10

• $5

What is the first step in solving for a in the equation a + 2B = 5?

• Multiply both sides by 2

• Divide both sides by 5

• Subtract 2B from both sides

• Add 2B to both sides

In the equation 5a = 2B, what operation is needed to solve for a?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 2B from both sides

• Add 5 to both sides

What is the slope in the equation y = -6x + 5?

• 1

• 5

• -6

• 0

Which form is y = mx + b known as?

• Quadratic form

• Standard form

• Slope-intercept form

• Point-slope form

What is the y-intercept in the equation y = 5/6x - 5?

• 5

• -5

• 1

• 0

What is the result of multiplying the equation y = 5/6x - 5 by 6?

• y = 5x + 30

• 6y = 5x + 30

• y = 5x - 30

• 6y = 5x - 30