Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

Algebra II Mid-Year Review (Grade 10)

Print Test (Only the test content will print)

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:

You need to be a HelpTeaching.com member to access free printables.