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# Algebra II Mid-Year Review (Grade 10)

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## Algebra II Mid-Year Review

1.
The graph of a quadratic function is called a(n)
1. line
2. hyperbola
3. cubic
4. parabola
2.
The vertex of a parabola is
1. either the maximum or minimum point.
2. the point where x is zero or y is zero.
3. the only point where y is known.
4. line which divides the parabola into equal parts.
3.
Which of the following is a quadratic function?
1. $f(x)= x^3 + 5x$
2. $f(x)= x-5x$
3. $f(x) = x-9$
4. $f(x) = x^2+3x + 6$
4.
Which expression has only one solution?
1. $x^2 - x - 20$
2. $x^2 + 10x + 7$
3. $x^2 - 12x + 36$
4. $x^2 + 13x + 42$
5.
Complete the square. (Do not solve for x.)
$x^2 + 10x + ?$
2. $100$
3. $25/2$
4. 25
5. $25/4$
6.
Which of the following relations is NOT a function?
1. ${(0, 1), (1, 0), (2, 1), (3, 1), (4, 2)}$
2. ${(7, 4), (4, 9), (-3, 1), (1, 7), (2, 8)}$
3. ${(1, 4), (3, 2), (5, 2), (1, -8), (6, 7)}$
4. All of the above are functions
5. None of the above are functions
7.
What is the range of the function {(5,1)(6,2)(7,3)} ?
1. {1,2,3}
2. {5,6,7}
3. {1,2,3,5,6,7}
4. {1,7}
8.
If $f(x) = 4x +5$, find $f(5)$.
1. 5
2. 10
3. 20
4. 25
9.
Find the x-intercepts of the following function.
$f(x) = x^2 +3x - 18$
1. x= 6, x=-3
2. x= 6, x=3
3. x=-6, x= -3
4. x= -6, x = 3
10.
$6sqrt2 + 5sqrt2 + sqrt2$
1. $11sqrt2$
2. $12sqrt2$
3. $11sqrt8$
4. $11sqrt6$
11.
Simplify: $(2x)^4/(2x^4)$
1. $8, \ x!=0$
2. $4$
3. $2, \ x!=0$
4. $1$
12.
Simplify:
$(xy^-6z^-3)/(x^-4y^-5z)$
1. $(xz)/(x^4y^11z^3)$
2. $(x^4y^4)/(y^6z^3)$
3. $x^5/(yz^4)$
4. $(x^3y^5)/(y^3z^2)$
13.
Solve for x.
$x^(4/3) = 81$
1. 9
2. 10
3. 18
4. 27
14.
If $root3 (x/512) = 2$, then $x =$

15.
Write the equation of a line through ( -3 , 6) and perpendicular to $y = 3/5 x - 4$

16.
Multiply and simplify: $(c - 8)(c + 2)$

17.
Solve the system:
$x - 4y = 16$
$x + 2y = 4$

18.
Solve the system.
$x-2y+z=8$
$y-z=4$
$z=3$

19.
Evaluate the determinant of $[[9, 5], [7, 4]]$.

20.
Given the following relation state the domain and range.
Is the relation a function? Explain why or why not.

${(2,0), (-3,4), (2,-7), (6,4), (-4,1)}$

21.
Evaluate $f(1)$:

$f(x) = 2x^2 + 3$

22.
Solve for x:
$4x + 6 <= 3x - 5$

23.
Solve the inequality and graph the solution.
$x+7<9$

24.
Graph the following equation:
$f(x) = x^2 - 3$

25.
Solve the equation $y=x^2+6x-27$
Factored Form:
Roots:
Y Intercept:
Axis of Symmetry:
Vertex:

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