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Algebra 2 Midterm
Test Description: Systems of equations, solving quadratic equations, synthetic division, simplifying and solving with radicals
Instructions: Answer all questions to get your test result.
1) Solve the system: 4x + 7y = -2 and -2x - 7y = 8
A
(7, -1)
B
(3, -2)
C
(2, -5)
D
(-4, 6)
2) Solve the system: y = 3x + 5 and 2x + y = 10
A
(-7, 5)
B
(2, -4)
C
(-3, 9)
D
(1, 8)
3) Solve for x: x^2 + 7x + 12 = 0
A
x = -4, -3
B
x = -1, 12
C
x = 2, 6
D
x = -12, 0
4) Solve for x: x^2 - 7x - 18 = 0
A
x = 1, 10
B
x = 8, 6
C
x = -4, 4
D
x = -2, 9
5) Use synthetic division to factor: f(x) = x^2 - 5x - 24, given x + 3 is a factor
A
f(x) = (x-3)(x+9)
B
f(x) = (x-3)(x-7)
C
f(x) = (x+3)(x+6)
D
f(x) = (x+3)(x-8)
6) Use synthetic division to factor: g(x) = 6x^2 - 29x + 20, given x - 4 is a factor
A
g(x) = (x-4)(4x-8)
B
g(x) = (x-4)(5x-6)
C
g(x) = (x-4)(6x-5)
D
g(x) = (x-4)(3x-7)
7) Simplify: 7sqrt(2) - 3sqrt(2)
A
3sqrt(2)
B
4sqrt(2)
C
6sqrt(2)
D
5sqrt(2)
8) Simplify: sqrt(7) + 9sqrt(7)
A
9sqrt(7)
B
10sqrt(7)
C
7sqrt(7)
D
8sqrt(7)
9) sqrt(x + 3) = 4
A
x = 12
B
x = 13
C
x = 1
D
x = 7
10) sqrt(x) - 8 = 1
A
x = 100
B
x = 49
C
x = 81
D
x = 64
*select an answer for all questions
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