9.04 Semester Assessment: Algebra I Semester A, Part 2Math | Graded Assignment | Semester Test, Part 2 | Algebra I

Name:

Date:

Graded Assignment

Semester Test, Part 2: Algebra I

Show all your work.

Total score: ____ of 45 points

(Score for Question 1: ___ of 14 points)

1. Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. Find

the number of liters of 20% acid solution in the new mixture. Construct a table to organize the information,

and show all of your work to solve the problem.

Answer:

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Math | Graded Assignment | Semester Test, Part 2 | Algebra I

(Score for Question 2: ___ of 9 points)

2. The length of a rectangle is 5 mm longer than its width. Its perimeter is more than 30 mm. Let w equal the

width of the rectangle.

(a) Write an expression for the length in terms of the width.

(b) Use expressions for the length and width to write an inequality for the perimeter, on the basis of the

given information.

(c) Solve the inequality, clearly indicating the width of the rectangle.

Answer:

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Math | Graded Assignment | Semester Test, Part 2 | Algebra I

(Score for Question 3: ___ of 10 points)

3. Solve the system of equations using linear combination.

Answer:

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Math | Graded Assignment | Semester Test, Part 2 | Algebra I

(Score for Question 4: ___ of 12 points)

4. Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25

more than Seiji. How much did each of them earn?

(a) Write a system of two equations with two variables to model this problem.

(b) Use substitution or the elimination method to solve the system.

(c) Graph both equations.

(d) Answer the question.

Answer:

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