18 Oct Algebra

Algebra 1 Part 2

 

Part 1 Semester Exam

 

Name: 

 

Student ID:        

 

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: (3×2 + 5x – 8) – (2×2 – 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: 2×2 – 18 = 0

 

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

 

                Solve 5×2 – 6x + 1 = 0 using the quadratic formula.

 

                Solve the system of equations by graphing.

 

y = x2 – 4

 

y = x + 2