Algebra 1 Mid-Term Exam (January, 2012) --Free Response



Algebra 1 Midterm Exam Review, part 1

Due: January 17/18

Section 1-- Solve each problem and circle your answer! Show all work!

1) Simplify [pic]

2) Write the equation [pic] in slope-intercept form.

3) Write the equation of the line, in standard form, that passes through [pic] and [pic]

4) Solve the equation: [pic].

5) Find the slope of the line that passes through [pic]and [pic].

6) Solve for [pic]: [pic]

7) Solve for [pic]: [pic]

8) Given that y varies directly with x, write a direct variation equation that relates x and y when [pic] and [pic].

9) Solve for [pic]: [pic]

10) What is the value of [pic] if [pic]?

11) Write an equation of the line, in slope-intercept form, through the point [pic] that is parallel to [pic].

12) Find the value of x so the function has the given value: [pic] ; 8

13) Solve the inequality and graph your solution. [pic] or [pic]

14) Determine which of the following lines, if any, are parallel, perpendicular, or neither. _____________________________________________________________________

1) Line a: [pic]

Line b: [pic]

Line c: [pic]

15) Solve for [pic]: [pic]

16) Solve the inequality [pic] and graph your solution on the number line.

Section 2—Graphing: Use the coordinate planes provided to graph each equation or inequality. You may NOT extend the graph or change the scale! If you are graphing an inequality, you must show your test point!

17) Graph the inequality: [pic].

19) Graph the equation: [pic]

21) Graph the equation: [pic]

18) Graph the inequality [pic].

20) Graph the equation: [pic].

Section 3—Application

22) You are going skiing with a friend. The lift pass costs you $75 and you have to rent skis and poles for $5 per hour. Before you leave, you are trying to figure out what is the total cost to ski.

a. Define your variables.

i. x = _______________________

ii. y = _______________________

b. Write an equation to model this situation.

i. __________________________

c. If the total cost is $125, how many hours did you ski? _______________________

23) A student is selling wrapping paper and candy to raise money for their school. Candy bars are $2 each and wrapping paper is $4 per roll. A student sells $48 worth of candy and wrapping paper.

a. Define your variables.

i. x = _______________________

ii. y = _______________________

b. Write an equation to model this situation.

iii. __________________________

c. Find the intercepts in this situation and describe, in detail, what each tells you about what the student sold.

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Name:____________________

Date:_____________________

Block:__________________________

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