Algebra IHonors 2010–2011 Semester 2 Exam — Released
BEGIN PART I (50 questions)
- What is the x-coordinate of the point of intersection of the two lines below?
(A)–15
(B)–6
(C)1
(D)4
- What is the y-coordinate of the point of intersection of the two lines below?
(A)4
(B)–3
(C)
(D)
- How many solutions does the system have?
(A)no solution
(B)one solution
(C)two solutions
(D)infinitely many solutions
- How many solutions does the system have?
(A)no solution
(B)one solution
(C)two solution
(D)infinitely many solutions
- Which point is in the solution set for the given system of inequalities?
(A)
(B)
(C)
(D)
- Which system of inequalities is graphed below?
(A)
(B)
(C)
(D)
- Carson has 28 coins in dimes and quarters. He has a total of $5.05 in coins. Let x represent the number of dimes and y represent the number of quarters. Which system of linear equations can be used to determine the number of dimes?
(A)
(B)
(C)
(D)
- Brad needs to create a fruit basket with at least 15 pieces of fruit. Apples cost $0.35 each and bananas cost $0.20 each. He can spend no more than $5.00.
Let arepresent the number of apples and brepresent the number of bananas Brad purchases. Which system of inequalities best describes this situation?
(A)
(B)
(C)
(D)
- Evaluate when
(A)24
(B)64
(C)72
(D)128
- Determine the value of .
(A)25
(B)75
(C)125
(D)625
- What is in standard (decimal) form?
(A)0.000245
(B)0.00245
(C)2,450
(D)245,000
- What is the product in scientific notation?
(A)
(B)
(C)
(D)
- Given , what is the value of x?
(A)3
(B)4
(C)8
(D)12
- Which expression is equivalent to?
(A)
(B)
(C)
(D)
- Evaluate the expression .
(A)–125
(B)0
(C)
(D)
- Evaluate the expression .
(A)9
(B)6
(C)3
(D)1
- Which statement bestdescribes?
(A)It is between 10 and 11.
(B)It is between 11 and 12.
(C)It is between 100 and 200.
(D)It is between 121 and 144.
- Simplify the radical expression .
(A)
(B)
(C)
(D)
- Simplify
(A)
(B)
(C)
(D)
- Simplify the product:
(A)
(B)
(C)
(D)
- Triangle DEF is a right triangle. What is the value of y?
(A)5
(B)25
(C)156
(D)169
- The following are the side lengths of three different triangles:
- 3, 3, 5
- 6, 8, 10
- 9, 12, 13
Which are right triangles?
(A)II only
(B)III only
(C)I and III only
(D)II and III only
- Determine the perimeter of the parallelogram.
(A)
(B)
(C)
(D)
- Which expression represents the perimeter of the triangle shown below?
(A)
(B)
(C)
(D)
- Subtract:
(A)
(B)
(C)
(D)
- Multiply the binomials:
(A)
(B)
(C)
(D)
- What is the product?
(A)
(B)
(C)
(D)
- Expand the expression .
(A)
(B)
(C)
(D)
- Which is a factor of ?
(A)
(B)
(C)
(D)
- The graph of has how many x-intercepts?
(A)0
(B)1
(C)2
(D)3
- Which statements are true about the graph of ?
- Opens up
- Opens down
- Axis of Symmetry
- Axis of Symmetry
(A)I and III only
(B)I and IV only
(C)II and III only
(D)II and IV only
- What is the vertex of the parabola?
(A)
(B)
(C)
(D)
- The domain and range of a quadratic function are given as:
Domain: all real numbers
Range:
Which of the following quadratic graphs satisfies this domain and range?
(A)
(B)
(C)
(D)
- Which shows the correct use of the quadratic formula to find the solutions of ?
(A)
(B)
(C)
(D)
- What is the solution set for the equation ?
(A)
(B)
(C)
(D)
- What are the solutions of ?
(A)
(B)
(C)
(D)
- Which equation has roots of –5 and 2?
(A)
(B)
(C)
(D)
- Solve the equation .
(A)
(B)
(C)
(D)
- Which of the following is the graph of ?
(A)
(B)
(C)
(D)
- Which equation is represented by the following graph?
(A)
(B)
(C)
(D)
- The area of a rectangular room is represented by.
Which pair of expressions represents the length and width of the room?
(A) and
(B) and
(C) and
(D) and
- Simplify the rational expression:
(A)
(B)
(C)
(D)
- Simplify the expression:
(A)
(B)
(C)
(D)
- What is in simplest form?
(A)
(B)
(C)
(D)
- Add the rational expressions:
(A)
(B)
(C)
(D)
- For what value(s) of x is the rational expressionundefined?
(A)
(B)–5 and 4
(C)–4 and 5
(D)4 and 5
- Simplify the product:
(A)
(B)
(C)
(D)
- What percent of 30 is 6?
(A)50%
(B)20%
(C)5%
(D)2%
- Solve the equation for x:
(A)2
(B)3
(C)11
(D)17
- Which solution set represents the values of x that satisfy the equation below?
(A)
(B)
(C)
(D)
END PART I
GO ON TO PART II
BEGIN PART II (10 questions)
- Which equation best represents the following graph?
(A)
(B)
(C)
(D)
- Which of the following equations are exponential growth models?
(A)I and III only
(B)I and IV only
(C)II and IV only
(D)II and III only
- Solve the radical equation:
(A)
(B)
(C)
(D)
- The area of the triangle below is 12. What is the value of x?
(A)
(B)
(C)
(D)
2010–20111GO ON
Clark County School DistrictRevised 08/02/2011
Algebra IHonors 2010–2011 Semester 2 Exam — Released
- The midpoint of is . If S is the point , what are the coordinates of point T?
(A)
(B)
(C)
(D)
- Which equation can be used to find the distance between point and ?
(A)
(B)
(C)
(D)
- What number should be added to both sides of the equation to complete the square in the equation ?
(A)–16
(B)–4
(C)16
(D)64
- The table below shows a function.
x / y
–2 / 6
–1 / 3
0 / 0
1 / 3
2 / 6
Which model best fits the table?
(A)absolute value
(B)exponential
(C)linear
(D)quadratic
- There are 8 flavors of fountain drinks at a convenience store. You would like to mix equal amounts of 3 different flavors to create a unique drink. How many different drinks could be created?
(A)24
(B)40
(C)56
(D)120
- There are 8 participants in a race. How many different ways can they finish in first, second, and third place?
(A)24
(B)56
(C)336
(D)6720
END OF PART II
2010–20111GO ON
Clark County School DistrictRevised 08/02/2011
Algebra IHonors 2010–2011 Semester 2 Exam — Released
Free Response
- Simplify the following expression. Justify each step with the applicable property of exponents. Express your answer with no negative exponents.
- A rectangular patio has a length feet and width feet, where
and .
(a)The patio’s perimeter is 54 feet. What is thevalue of x?
(b)What is the area of the patio?
2010–20111GO ON
Clark County School DistrictRevised 08/02/2011
Algebra IHonors 2010–2011 Semester 2 Exam — Released
Free Response
- Use the equation for the following:
(a)What are the intercepts?
(b)Determine the coordinates of the vertex. Show all work.
(c)Sketch the graph.
(d)State the domain and range.
2010–20111GO ON
Clark County School DistrictRevised 08/02/2011