Name ______Period ______

Algebra 1 Checkpoint MP 2 Review

  1. a. Use the equation y=3x–1 to complete the table below

x / -1 / 0
y / 0 / -11

b. Graph the equation on graph paper.

c. Find one more problem in your book similar to this one, include it below, then solve.

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  1. Gasoline cost $1.60 per gallon in January and $1.70 per gallon in February. If gasoline prices continue to increase at the same rate, what will be the gasoline price in July? Make a graph of the situation and show your solution. Graph the months on the x-axis and price per gallon on the y-axis.

3. Find the rate of change given the equation y + 2 = -2(x – 7).

4. Write an equation for a line in slope-intercept form that passes through (-2, 1) and (5, -6) then graph your solution to verify that the points are on the line.

5. A pizza shop charges $7.00 for a plain pizza. Each topping is an additional $.50. Write an equation to show the price of a pizza with x toppings.

6. The table shows the production of tables at a furniture factory with respect to the number of weeks from the beginning of the year.

Number of Weeks / 4 / 8 / 12 / 16 / 20
Tables Produced / 200 / 600 / 1000 / 1400 / 1800

a. Write an equation in slope-intercept form that models the situation.

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b. That pattern continues. How many weeks will it take the factory to make 3,800 tables? Show all work.

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7. A line has an x-intercept of -2 and a y-intercept of -8. Will the line pass through (-1, -5)?

Show all the work on how you arrived at your answer.

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8. Refer to the Houston Astros average ticket price graph on page 192 in your textbook. Find the rate of changefor prices from 1998 to 2000. Explain what the rate of change means for the situation and what may have caused this rate of change.

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9. Find the rate of change of each of the following functions below.

a)

x / 1 / 8 / 5 / 12
Y / -7 / -28 / -19 / -40

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b) Total pay is $100 plus $10 per hour. ______

c) 5x – 0.40y = -20 ______

10. Graph the following system to determine a solution.

Solution ______

11a. What is the best strategy for solving the following system of equations and explain why?

2x – 2y= -7

2x+ 6y= 1

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12. Refer to the scatter plot on page 230 in your textbook, problem #1. Approximate a line of best fit then write an equation for YOUR line of best fit. Draw or trace the scatter plot on a piece of graph paper for help.

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13. A compound inequality is shown below. Graph the solution.

14. Write the linear equation in standard form: -2x = 4y – 3

15. Solve the following equation for x. Show all work. .

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