IXL - Write two-variable inequalities: word problems (Algebra 1 practice)

A sculptor is selling his work at an exhibit and hopes to earn at least $35,000 in revenue. Small pieces go for $270 and large pieces go for $1,500.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

x
= the number of small pieces sold
y
= the number of large pieces sold

270

1,500

≥

35,000

270

1,500

≤

35,000

1,500

270

≤

35,000

1,500

270

≥

35,000

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question

Mrs. Navarro is making treats for a tea party later this week, and she has up to 17 eggs to use for this purpose. A batch of scones requires 2 eggs and a batch of miniature tarts requires 3

eggs.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

x
= the number of batches of scones
y
= the number of batches of miniature tarts

≥

≤

solution

First write an inequality in words that describes the situation.

The number of eggs used for scones plus the number of eggs used for tarts is at most the number of eggs available.

Now express each piece using numbers, variables, and symbols.

The number of eggs used for scones is 2 eggs times the number of batches of scones, which is
x
.
The product is
2
x
.
The number of eggs used for tarts is 3 eggs times the number of batches of miniature tarts, which is
y
.
The product is
3
y
.
Is at most means less than or equal. That is ≤.
The number of eggs available is 17
eggs.

Finally, take the inequality written in words and rewrite it using those pieces.

The number of eggs used for scones

plus

the number of eggs used for tarts

is at most

the number of eggs available

≤

The inequality that describes this situation is

≤

Looking for more? Try these:

Lesson: Linear inequalities

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N.8Write a linear function: word problems

C.9Solve one-step and two-step linear equations: word problems

Lesson: Linear inequalities

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