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Algebra I Quarter 1 Exam

Answer the questions below. Make sure to show your work when applicable.

1.     Solve the absolute value equation. Check your solutions.

| 5x + 13| = –7

2.     Simplify the expression below.

6n² - 5n² + 7n²

3.     The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet.

4.     The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Determine the cost for each bracelet.  Show your work

5.     Solve the inequality. Show your work.

6y – 8 ≤ 10

6.    

                  The figures above are similar. Find the missing length. Show your work.

7.     What is 30% of 70? Show your work.

8.     Simplify the expression below.

-5-8

9.     Which property is illustrated by 6 x 5 = 5 x 6?

10.  Evaluate the expression for the given values of the variables. Show your work.

4t + 2u² – u³; t = 2 and u = 1

11.  Solve the inequality. Show your work.

|r + 3| ≥ 7

12.  What percent of 60 is 12? Show your work.

13.  Simplify the expression below.

14.  Sharon earns $25 per item she sells plus a base salary of $100 per week. Write and solve an inequality to find how many items she must sell to earn at least $700 per week. Provide your conclusion as a complete sentence.

15.  Simplify the expression below. Show your work.

–(–7y + 12)

16.  Solve the equation. Show your work.

17.  Solve the equation. Show your work.

8x – 12 = 4x + 24

18.  Solve the inequality. Show your work.

–6b > 42 or 4b > –4

19.  Write an algebraic expression for the phrase:  6 more than the product of 8 and n.

20.  Solve the equation. Show your work.

45 = 3b + 69