Algebra
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: (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
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