Algebra 1 Final Exam Review

Algebra 1 Final Exam Review

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https://www.desmos.com/testing/georgia/graphing

Multiple Choice

Solve the system of equations:

4x + 3y = 6

-4x + 2y = 14

• (0.5, 3)

• (3, 0.5)

• (4, -1.5)

• (-1.5, 4)

Multiple Select

The graph represents y = 5x − 3. Which statements are true about the graph? (Select more than one answer)

• The coordinate pair (0, 3) represents a point on the graph and a solution to the equation.

• The coordinate pair (2, 7) represents a point on the graph and a solution to the equation.

• The coordinate pair (0, −3) represents a point on the graph and a solution to the equation.

• The coordinate pair (2, −7) represents a point on the graph.

• The coordinate pair (−1, −4) is a solution to the equation.

Multiple Choice

The graph represents y = −4x + 7 . Which statements are true about the graph?

• The coordinate pair (1, 3) represents a point on the graph and a solution to the equation.

• The coordinate pair (2, 0) represents a point on the graph and a solution to the equation.

• The coordinate pair (1, 4) represents a point on the graph and a solution to the equation.

• The coordinate pair (0, 7) represents a point on the graph, but not a solution to the equation.

• The coordinate pair (2, −2) does not represent a point on the graph or a solution to the equation.

Multiple Choice

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.

12x – 3y = 6

2x – y = 2

• Multiply second equation by 6, solution (2, 0).

• Multiply second equation by 6, solution (-2, 0).

• Multiply second equation by -6, solution (0, 2).

• Multiply second equation by -6, solution (0, -2).

Multiple Choice

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.

2x − 5y = 11

3x + 2y = 7

• Multiply first equation by 3 and second equation by 2, solution (3, 1).

• Multiply first equation by 2 and second equation by −3, solution (−3, −1)

• Multiply first equation by −3 and second equation by −2, solution (−3, 1).

• Multiply first equation by −3 and second equation by 2, solution (3, −1).

Multiple Choice

 $8-2x=5(x-2)$   Which step is not part of solving the problem?

• 18 = 7x

• 8 = 7x - 10

• 8 - 2x = 5x - 2

• 8 - 2x = 5x - 10

Multiple Choice

Explain how to form a linear combination to eliminate the variable y for this system.

2x - 3y = 3

5x + 2y = 17

• Multiply the first equation by 2 and the second equation by 3.

• Multiply the first equation by −5 and the second equation by −2.

• Multiply the first equation by −2 and the second equation by 3.

• Multiply the first equation by 2 and the second equation by −3.

Multiple Choice

A company charges a flat rate of $23 plus $4.50 per minute for long-distance service. Write an equation and use it to determine the cost of making a long distance call for 1 hour 25 minutes.

• The cost of a long distance call that lasted 1 hour 25 minutes is $1,959.50

• The cost of a long distance call that lasted 1 hour 25 minutes is $405.50

• The cost of a long distance call that lasted 1 hour 25 minutes is $585.50

• The cost of a long distance call that lasted 1 hour 25 minutes is $293.00

Multiple Choice

Which equation represents the following graph?

• y = 3x + 2

• y = -2x + 3

• y = 2x + 3

• y = -3x + 2

Multiple Choice

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Multiple Choice

Troy made two deliverers for his boss. The graph shows Troy's drive from his home to make the deliveries and then returning home. Which interval(s) show Troy's distance from home decreasing?

• Interval E

• Interval A and C

• Interval D and E

• Interval B, D, and E

Multiple Choice

The Johnson family is taking a car trip. They are driving at an average speed of 60 miles per hour. The graph shows their distance traveled over time. What does the point

(5, 300) represent in this situation?

• The Johnson family will travel 300 miles in 5 hours.

• The Johnson family will finish their trip in 5 hours.

• The Johnson family drives 5 miles per hour for 300 miles.

• The Johnson family vacation destination is 300 miles away.

Multiple Choice

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Multiple Choice

Graph: 3x - y = -2

Multiple Choice

A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function y = 435 + 1200x, where x is measured in weeks. What is the meaning of the constant 435?

• It is the amount they started with.

• It is the amount still to be raised.

• It is the amount which is left over.

• It is the amount they raise each week.

Multiple Choice

Add the polynomial (-3x + 4) + (8x - 5)

• 5x - 9

• 5x - 1

• 11x - 1

• 11x - 9

• None of these

Multiple Choice

Find the sum.

(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

• None of these

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

• None of these