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Laabri

Algebra Topic 1 Test

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Last updated over 2 years ago
15 Nsɛmmisa
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1.

Which elements of Set Z that are both odd numbers and multiples of 3?

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2.

Which of the following will result in a rational number? Select ALL that apply.

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3.

What is the value of x in this equation?

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4.

The sum of three consecutive even integers is 72.

What are the three numbers? Remember to list all three.

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5.

Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $28, and the turkey costs $2 less per pound than the ham.

What would be the cost of 1 pound of turkey?

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6.

How many solutions are there to this equation?

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7.

Find the value of x in the equation. Show your work.

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8.

Solve the equation for the variable x.

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9.

Solve the inequality.

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10.

Solve the inequality and graph the solution on the number line.

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11.

Solve the compound inequality.

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12.

Which compound inequality represents the graph below?

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13.

Solve the absolute value equation.

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14.

Solve the absolute value inequality. Show all work

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15.

BONUS: An outdoor recreation company wants to make its own custom-branded trail mix. To be profitable, it needs to make each 1 lb package for at most $6. The trail mix will mostly be a mixture of peanuts and cashews, and they want to have as high a proportion of cashews as possible. Cashews cost $11/lb and peanuts only cost $3/lb. To taste test, the company needs to make a 40 lb. test batch. Let c be the weight of cashews, in pounds, they should use in the mixture to maximize the proportion of cashews while limiting the overall cost.

A. Write an equation to represent the situation.

B. Use the equation to find the value of c.

You may type your answer and/or use the "Show your work" box - whatever is better for you.