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Laabri

Algebra I Ch. 5 Study Guide

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Last updated over 2 years ago
18 Nsɛmmisa
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1.

The point (1,2) is a solution to the system of equations.

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2.

Which statement is true for the given system of equations?

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3.

Set up a system of linear equations and solve it.

You may use Desmos Calculator to find the solution.

Tickets for the school play are $3 for students and $5 for adults. On opening night you sell 937 tickets and collect $3943. How many tickets were sold to students and to adults?

Equation 1:

Equation 2:

Tickets sold to students:

Tickets sold to adults:

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4.

A test worth 100 points will consist of 38 questions. Each long answer question will be worth 5 points and each short answer question will be worth 2 points. How many of each type of question will be on the test?

Number of long answer questions:

Number of short answer questions:

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5.

Seven hot dogs and four hamburgers cost $13.00. Four hot dogs and seven hamburgers cost $14.50. Find the cost of one hot dog and the cost of one hamburger.

You should NOT use Desmos for this problem, but you may use a regular calculator to divide.

Cost of One Hot Dog:

Cost of One Hamburger:

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6.

Solve the systems by graphing.

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7.

Solve the system by substitution.

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8.

Solve the system by elimination.

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9.

Solve the system of equations using the method of your choice.

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10.

Solve the system of equations using the method of your choice.

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11.

Solve the system of equations using the method of your choice.

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12.

Graph the following linear inequality:

Does the point (2,-1) fall in the solution region? Explain.

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13.

Graph the following system of inequalities.

Clearly label the solution region. State two possible solutions for each.

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14.

Graph the following system of inequalities.

Clearly label the solution region. State two possible solutions for each.

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15.

Write the system of linear equations represented in each graph.

List one possible solution to each system.

Inequality #1:

Inequality #2:

One possible solution:

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16.

Write the system of linear equations represented in each graph.

List one possible solution to each system.

Inequality #1:

Inequality #2:

One possible solution:

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17.

Challenge Question!

Given the equations below, what is the value of

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18.

Challenge Question!

Given the equations below, what is the value of

Finished with all greens?

Go to Khan Academy and complete: "Systems of inequalities graphs"

Chapter 5 TEST next class!