HHS Algebra 1 Unit 1 Mid-Unit Review

Which of the following inequalities matches the graph?

• 4y + 3x < 20

• 4y - 3x < 20

• 4y + 3x > 20

• 4y - 3x > 20

Write the equation in slope-intercept form.

3x - 2y = - 6

• y = 3/2 x - 3

• y = 2/3 x + 3

• y = 3/2 x + 3

• y = - 3/2 x - 2

Are the two equations shown below equivalent?

2(x - 4) + 13 = 9

and

2x + 5 = 9

• True

• False

Consider the scenario shown.

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Consider the scenario and graph shown.

Remember to SELECT ALL true statements.

• If no adults attend, 140 children can attend.

• If no children attend, 50 adults can attend.

• If 30 adults attend, then 80 children can attend.

• If 50 children attend, then 50 adults can attend.

• If ten less adults attend, then 20 more children can attend.

The Crocs store is selling basic Crocs for $35. Customers can add Croc jibbitz for $2 each and interchangeable straps for $7 each. Write an equation that represents the cost of a pair of Crocs if C represents the total cost, in dollars, j represents the number of jibbitz added, and s represents the number of interchangeable straps added.

A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20 per acre, the seed for corn costs $60 per acre and the farmer has set aside $3000 to spend on seed. Let p represent the number of potato seed he can use and let c represent the number of corn seed he can use. Select all of the inequalities that best describe this situation.

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Write the equation in slope-intercept form.

4x - 2y = 18

A woodworker is selling benches at a fair. It costs $200 to rent a booth at the fair. The cost of materials for each bench is $55. The artist is selling his benches for $80 each. The inequality 80b > 600 + 55b represents the situation in which the woodworker would make a profit.

Will the woodworker make a profit if he sells 10 benches?

• Yes

• No

A woodworker is selling benches at a fair. It costs $200 to rent a booth at the fair. The cost of materials for each bench is $55. The artist is selling his benches for $80 each. The inequality 80b > 600 + 55b represents the situation in which the woodworker would make a profit.

Write an inequality to show the number of benches b the woodworker must sell to make a profit.

• b > 12

• b > 40

• b > 24

• b > 8