G10_14.2_Graphing & solving linear inequalities

Open Ended

Why is it important to understand simultaneous linear equations in mathematics and real-life situations?

Multiple Choice

Which of the following statements best describes simultaneous equations?

• A set of equations with the same variables that are solved together

• A single equation with one variable

• Equations that have no solution

• Equations that are solved independently

Open Ended

Describe a situation in your daily life where you might need to use simultaneous equations to find a solution.

Multiple Choice

Which steps are involved in solving the pair of simultaneous equations $$3x+2y=2$$ and $$2x+6y=13$$ by elimination?

• Multiply the first equation by 2 and the second by 3, subtract the resulting equations, solve for y, substitute back to find x

• Multiply both equations by the same number, add the equations, solve for x, substitute to find y

• Multiply the first equation by 3 and the second by 2, add the resulting equations, solve for x, substitute to find y

• Add the equations directly, solve for y, substitute to find x

Fill in the Blank

Fill in the blank: To eliminate a variable in a pair of simultaneous equations, you can multiply one or both equations so that the coefficients of the variable are ___.

Math Response

Given the simultaneous equations 3x + 4y = 42 and x + 2y = 17, what is the value of y?

Type answer here

Correct Answer: 4.5

Deg^°

Rad

Fill in the Blank

An inequality is a mathematical statement that ___ the size of two or more expressions or numbers.

Multiple Select

Select all statements that correctly describe the meaning of the following inequality signs: <, >, ≤, ≥.

• < means less than

• ≤ means less than or equal to

• > means greater than or equal to

• > means greater than

Open Ended

Explain how linear inequalities can be used to solve real-life problems. Give an example from your own experience or observation.

Open Ended

What is the difference between an equation and an inequality?

Multiple Choice

Given the inequality 5 > x > 1, which of the following integers satisfies it?

• 1

• 2

• 5

• 6

Multiple Choice

What is the range of possible integer values for the number of robots that can be sent at one time according to the inequality 2.5 < x < 7.5?

• 1 to 7

• 3 to 7

• 2 to 8

• 4 to 8

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Complete the solution for the inequality.

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Complete the solution for the inequality.

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Show the complete solution.

14.2 Solving harder linear inequalities

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Investigate two methods for solving inequalities.

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Solve the inequalities using your preferred method

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Solve the inequalities using your preferred method

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Solve these inequalities and then graph each solution on a number line

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Solve these inequalities and then graph each solution on a number line

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Solve these inequalities and then graph each solution on a number line

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Solve these inequalities and then graph each solution on a number line

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Solve these inequalities and then graph each solution on a number line

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Solve these inequalities and then graph each solution on a number line

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Solve these inequalities and then graph each solution on a number line

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Solve these inequalities and then graph each solution on a number line

USING INEQUALITIES FOR SOLVING PROBLEMS

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Match a problem with an inequality

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Complete an inequality to solve a problem

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Create an inequality to solve a problem