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P2.4: Creating and Solving Systems of Inequalities

Last updated almost 4 years ago
14 questions
1

Match the symbols to the words.

  • dashed line, shaded below
  • dashed line, shaded above
  • solid line, shaded above
  • solid line, shaded below
  • >
  • <
  • >
  • <
  • greater than
  • greater than or equal to
  • less than
  • less than or equal to
0

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

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

1

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

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

1

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

x-y > 4
x+5y < 0

1

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.
1

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

1

Which combinations can Brandon buy?

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?

1

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.

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.