Download Algebra 1 - Semester 2 Final Exam Review

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Algebra 1 – Bowling, Delso, Fletcher, Skiles
Algebra 1 - Semester 2 Final Exam Review
1. Simplify the following expression:
2. Simplify the following expression:
(10x6y3)(–7x5y2)
3. Simplify the following expression:
2x2y(–7x2 + xy – 6y5)
4. Find the area of the rectangle below.
(x + 7)(x – 4)
3x + 5
2x – 3
5. Given the function y = 3x2, which of the following describes the transformation if 3 is changed to 5?
A)
B)
C)
D)
the new function is narrower.
the new function is translated up.
the new function is wider.
the new function is translated down.
6. What is the axis of symmetry for the quadratic function to the right?
A)
B)
C)
D)
x = –1
y = –1
x=4
y = –4
7. What are the roots of the quadratic equation x2  14 x  40  0 ?
A)
B)
C)
D)
{4, 10}
{4, –10}
{–4, 10}
{–4, –10}
8. The height of a ball in feet is modeled by f ( x)  16 x 2  128x ,
where x is the time in seconds after it is hit. How long is the ball
in the air?
A)
B)
C)
D)
4 sec
8 sec
128 sec
256 sec
9. When graphed, which function would appear to be
shifted 2 units down from the graph of y = x2 ?
A)
B)
C)
D)
10. Which equation is the parent function
of the graph represented below?
A) y  x
B) y  x 2  2
f ( x)  x 2  2
f ( x)  x 2  2
f ( x)  x 2  3
f ( x)  x 2  4
C) y  x
D) y  x 2
11. What is the range of the function graphed to the right?
A) All real numbers
B) 7  y  7
C) y  12
D) y  12
12. What is the vertex of the function
f(x) = x2 + 6x + 5?
13. Find the perimeter of a rectangle
with sides (x + 8) and (2x – 10)
14. Solve the equation:
7x – 4 = 5x + 10
15. Simplify the expression:
16. Solve for the missing side of the right triangle:
using the Pythagorean Theorem: 𝒂𝟐 + 𝒃𝟐 = 𝒄𝟐
25
24
𝟓𝟓𝒙𝟕 𝒚𝟑
𝟏𝟏𝒙𝟓 𝒚𝟔
17. Solve for J in the equation M = JKL.
18. Two apples and one carrot cost $3.50. Eight apples and ten carrots cost $14.25. Which system of equations is written
correctly for this situation?
A) a + c = 10
3.50a + 14.25c = 2
B. 8a + 10c = 3.50
2a + c = 14.25
C. 2a + c = 3.50
8a + 10c = 14.25
19. If (x, 7) is the solution for the following system of equations, what is the value of x?
D. 2a + 8a = 10a
c + 10c = 10c
y = 4x – 1
x + 2y = 16
20. What is the solution to the system of equations
represented in the graph to the right?
21. Which graph best represents a solution to this system of equations?
y = 4x – 3
𝟐
y= 𝒙+𝟐
𝟑
A)
B)
C)
D)
22. Find the solution to the linear system of equations given these tables.
x
y
8
x
-3
y
0
-2
-1
6
-1
1
0
4
1
2
1
2
3
3
2
0
5
4
A.
B.
C.
D.
No solution
All real numbers
(1, 2)
(6, 1)
23. John’s checking account balance is at $525, and he takes out $30 each week. If the y-intercept is increased
by 100, what will the new equation be?
A. y = -30x + 525
B. y = -30x + 625
C. y = 425x – 30
D. y = 525x – 30
24. Piper uses the equation y = 0.75x + 4 to figure out how much she will pay for frozen yogurt and each
topping. What will change if the price of each topping is increased to $1.50?
A. the slope will decrease
C. the slope will increase
B. the graph will shift down
D. the y intercept will increase
25. Graph the following linear inequality: 𝒚 ≤ −𝟑𝒙 + 𝟒
27. Do the points in the table represent a function
that is linear, quadratic, or neither?
X
Y
-3
5
-2
0
0
-4
1
-3
3
5
29. Which of the following equations
matches the table to the right?
A. y = x2
B. y = x2 + 4
C. y = 3x2 – 8
D. y = 2x2
26. Put the following inequality in slopeintercept form (solve for y): 𝒙 − 𝟒𝒚 < 𝟏𝟐
28. Solve the following proportion for x :
𝟐𝟓
𝒙
=
𝟑𝟓
𝟏𝟒
4
12
x
-5
-1
3
6
7
8
y
29
5
13
40
53
68
30. What is the solution set for the
quadratic function in the table below?
x y
-3 10
-2 0
-1 6
0 -8
1 -6
2 0
31. True or False: A system of linear equations
can have: one solution, no solution, or infinite solutions.
32. What are the zeros of the function
y = x2 – 5x + 6 ?
33. a. What is the quadratic parent function? _____
Graph it.
b. What is the linear parent function? _____
Graph it.