Algebra 1 Part 2 Parent Organization Semester 2 Exam

Algebra 1 Part 2

Part 1 Semester Exam

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You must show your work for each answer.

                Solve the system of equations by graphing on the given coordinate plane.

y = 2x – 5

y = –x + 4

 

                Solve the system of equations using the substitution method.

y = 10 – 4x

2x + 3y = 20

                Solve the system of equations using the elimination method.

5x + 2y = 9

–5x + 4y = 3

                Use the properties of exponents to simplify the expression:y–4(y3)2

                Simplify:?8

Solvefor x: 23x+1 = 210

 

 

 

                Graph the exponential function f(x) = 2x on the coordinate plane.

 

                Subtract the polynomials: (3x2 + 5x – 8) – (2x2 – 4x + 3)

                Multiply: (x + 8)(x – 12)

                Factor: x2 – 36

                Find the solutions of x2 – x – 30 = 0.

                Graph f(x) = x2 + 4x – 5 on the coordinate plane.

 

 

                Determine the vertex of the quadratic function f(x) = (x – 3)2 + 7.

                Determine the y-intercept of the quadratic function f(x) = x2 + 8x – 13.

 

                Write the equation of the graphed function. Give your answer in standard form.

 

                Simplify: 6/√3

                Solve for x: 2x2 – 18 = 0

                Solve x2 + 6x – 16 = 0 by completing the square.

                Solve 5x2 – 6x + 1 = 0 using the quadratic formula.

                Solve the system of equations by graphing.

y = x2 – 4

y = x + 2