P2.4: Creating and Solving Systems of Inequalities

Last updated about 4 years ago

14 questions

1

0

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P2.4: Creating and Solving Systems of Inequalities

Last updated about 4 years ago

14 questions

1

Match the symbols to the words.

solid line, shaded below

0

1

Brandon shops at Old Navy during a sale.  Shorts are $16 each and shirts are $10 each.  He has $100 to spend and wants at least 2 shorts.

Let x be shorts and y be shirts.

1

Write an inequality in standard form to represent Brandon's budget.

1

Dani is buying apples and oranges for a charity door prize.  Apples cost $0.24 each and oranges cost $0.80 each.  She has $12 to spend and wants at least 20 pieces of fruit total.

Let x be the # of apples, y be the # of oranges.

1

Write an inequality in standard form to represent Dani's budget.

Use 2 decimal places, no spaces or $.

1

Write an inequality in standard form to represent the total number of fruit.

1

What situation would create no solution for a system of two inequalities?

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Review:
Write the equation for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.

1

Review:
Consider the equation:  2x + 5y = 10.

The slope of the line is _______ , the x-intercept of the line is _______,
and the y-intercept of the line is _______ .

 For the slope, enter a number.
For intercepts, use (x, y) format, with exactly one space after the comma.

1

Review:
Consider the equation:  2x - 3y = 18

The slope of the line is _______ , the x-intercept is _______ , and the y-intercept is _______ .

For the slope, enter a fraction.
For intercepts, use (x, y) format, with exactly one space after the comma.

Match the symbols to the words.

solid line, shaded below
>
<
solid line, shaded above
>
<
dashed line, shaded below
dashed line, shaded above

greater than
greater than or equal to
less than
less than or equal to

Which points are solutions to the system? Check all that apply.

x+2y > -12
y < 6x+7

Which points are solutions to the system? Check all that apply.

2x - 5y < -20
x > -3

Which points are solutions to the system? Check all that apply.

x-y > 4
x+5y < 0

Which points are solutions to the system? Check all that apply.

8x-4y > -28
6y > 12x-36

Brandon shops at Old Navy during a sale.  Shorts are $16 each and shirts are $10 each.  He has $100 to spend and wants at least 2 shorts.

Let x be shorts and y be shirts.

Dani is buying apples and oranges for a charity door prize.  Apples cost $0.24 each and oranges cost $0.80 each.  She has $12 to spend and wants at least 20 pieces of fruit total.

Let x be the # of apples, y be the # of oranges.

1

Write an inequality in standard form to represent Dani's budget.

Use 2 decimal places, no spaces or $.

1

Write an inequality in standard form to represent the total number of fruit.

1

Which of the following are possible combinations of apples and oranges that Darcy can buy?

What situation would create no solution for a system of two inequalities?

1

Review:
Write the equation for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.

Review:
Consider the equation:  2x + 5y = 10.

The slope of the line is _______ , the x-intercept of the line is _______,
and the y-intercept of the line is _______ .

 For the slope, enter a number.
For intercepts, use (x, y) format, with exactly one space after the comma.

Review:
Consider the equation:  2x - 3y = 18

The slope of the line is _______ , the x-intercept is _______ , and the y-intercept is _______ .

For the slope, enter a fraction.
For intercepts, use (x, y) format, with exactly one space after the comma.

>

<

solid line, shaded above

>

<

dashed line, shaded below

dashed line, shaded above

greater than

greater than or equal to

less than

less than or equal to

Which points are solutions to the system?  Check all that apply.

x+2y > -12
y < 6x+7

(0, -7)

(-1, -3)

(0, 7)

(0, -8)

(7, 0)

(-2, -5)

Which points are solutions to the system?  Check all that apply.

2x - 5y < -20
x > -3 

(3, 8)

(-1, 5)

(-3, 3)

(0, 4)

(-5, 2)

(0, 5)

Which points are solutions to the system?  Check all that apply.

x-y > 4 
x+5y < 0

(4, 0)

(0, 0)

(0, -4)

(5, -5)

(0, 4)

(5, -1)

Which points are solutions to the system?  Check all that apply.

8x-4y > -28
6y > 12x-36

(5, -5)

(3, 0)

(0, 0)

(-3.5, 0)

(0, 7)

(0, -6)

Which combinations can Brandon buy?

Which of the following are possible combinations of apples and oranges that Darcy can buy?

Which combinations can Brandon buy?

2 shorts, 6 shirts

4 shorts, 4 shirts

4 shorts, 0 shirts

2 shorts, 8 shirts

3 shorts, 2 shirts

1 shorts, 6 shirts

20 apples, 10 oranges

10 apples, 10 oranges

5 apples, 15 oranges

P2.4: Creating and Solving Systems of Inequalities

P2.4: Creating and Solving Systems of Inequalities

Match the symbols to the words.

Write an inequality in standard form to represent Brandon's budget.

Write an inequality in standard form to represent Dani's budget.Use 2 decimal places, no spaces or $.

Write an inequality in standard form to represent the total number of fruit.

What situation would create no solution for a system of two inequalities?

Review:Write the equation for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.

Match the symbols to the words.

Which points are solutions to the system? Check all that apply.x+2y > -12y < 6x+7

Which points are solutions to the system? Check all that apply.2x - 5y < -20x > -3

Which points are solutions to the system? Check all that apply.x-y > 4 x+5y < 0

Which points are solutions to the system? Check all that apply.8x-4y > -286y > 12x-36

Write an inequality in standard form to represent Brandon's budget.

Write an inequality in standard form to represent Dani's budget.Use 2 decimal places, no spaces or $.

Write an inequality in standard form to represent the total number of fruit.

Which of the following are possible combinations of apples and oranges that Darcy can buy?

What situation would create no solution for a system of two inequalities?

Review:Write the equation for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.

Which combinations can Brandon buy?

Which of the following are possible combinations of apples and oranges that Darcy can buy?

Write an inequality in standard form to represent Dani's budget.

Use 2 decimal places, no spaces or $.

Review:
Write the equation for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.

Which points are solutions to the system? Check all that apply.

x+2y > -12
y < 6x+7

Which points are solutions to the system? Check all that apply.

2x - 5y < -20
x > -3

Which points are solutions to the system? Check all that apply.

x-y > 4
x+5y < 0

Which points are solutions to the system? Check all that apply.

8x-4y > -28
6y > 12x-36

Write an inequality in standard form to represent Dani's budget.

Use 2 decimal places, no spaces or $.

Review:
Write the equation for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.