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Transcript
A. What is the value of (y – x)3 – 12 if x = –3 and
y = –4?
A. –19
B. –11
C. –13
D. 13
A.
B.
C.
D.
A
B
C
D
B. What is the value of x – y2(x + 5) if x = 2 and y = 4?
A. –110
B. –98
C. –54
D. –25
A.
B.
C.
D.
A
B
C
D
C.
A. –23
B. –19
C. 19
D. 23
A.
B.
C.
D.
A
B
C
D
A. 450 cm3
1.
2.
3.
4.
B. 75 cm3
0%
C. 50 cm3
D. 10 cm3
A
B
C
D
A
B
C
D
CHOCOLATE Joel went to the
grocery store and bought 3 plain
chocolate candy bars for $0.69
each and 3 chocolate-peanut
butter candy bars for $0.79 each.
How much did Joel spend
altogether on candy bars?
A. $2.86
B. $4.44
C. $4.48
D. $7.48
A.
B.
C.
D.
A
B
C
D
Which expression is equivalent to
2(3x – y) + 4(2x + 3y)?
A. 14x + 10y
B. 14x + 2y
C. 14x + y
D. 11x + 2y
A.
B.
C.
D.
A
B
C
D
A. Write an algebraic expression to represent the
verbal expression 6 more than a number.
A. 6x
B. x + 6
C. x6
D. x – 6
1.
2.
3.
4.
A
B
C
D
B. Write an algebraic expression to represent the
verbal expression 2 less than the cube of a number.
A. x3 – 2
3
B. 2x
C. x2 – 2
D. 2 + x3
1.
2.
3.
4.
A
B
C
D
A. What is a verbal sentence that represents the
equation n – 3 = 7?
A. The difference between a
number and 3 is 7.
B. The sum of a number and
3 is 7.
C. The difference of 3 and a
number is 7.
D. The difference of a number
and 7 is 3.
1.
2.
3.
4.
A
B
C
D
B. What is a verbal sentence that represents the
equation 5 = 2 + x?
A. Five is equal to the difference
of 2 and a number.
B. Five is equal to twice a
number.
C. Five is equal to the quotient of
2 and a number.
D. Five is equal to the sum of 2
and a number.
1.
2.
3.
4.
A
B
C
D
A. What is the solution to the equation x + 5 = 3?
A. –8
B. –2
C. 2
D. 8
A.
B.
C.
D.
A
B
C
D
B. What is the solution to the equation
A. 5
B.
C. 15
D. 30
A.
B.
C.
D.
A
B
C
D
What is the solution to 25 = 3(2x + 2) – 5(2x + 1)?
A. –6
B.
C.
D. 6
A.
B.
C.
D.
A
B
C
D
GEOMETRY The formula for the perimeter of a
rectangle is
where P is the perimeter,
and w is the width of the rectangle.
What is this formula solved for w?
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
If 2x + 6 = –3, what is the value of 2x –3?
A. 12
B. 6
C. –6
D. –12
A.
B.
C.
D.
A
B
C
D
HOME IMPROVEMENT
Kelly wants to repair the
siding on her house. Her
contractor will charge her
$300 plus $150 per square foot of siding. How much
siding can she repair for $1500?
A. 100 ft2
B. 10 ft2
C. 8 ft2
D. 4.5 ft2
A.
B.
C.
D.
A
B
C
D
A. 18.3
B. 1.7
C. –1.7
D. –13.7
A.
B.
C.
D.
A
B
C
D
What is the solution to |2x + 5| = 15?
A. 5
B. –10, 5
C. –5, 10
D. –5
1.
2.
3.
4.
A
B
C
D
A.
B.
C.
D.
1.
2.
3.
4.
A
B
C
D
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
Which graph represents the solution to
6x – 2 < 5x + 7?
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
What is the solution to –3x  21?
A. x | x  –7
B. x | x  –7
C. x | x  7
D. x | x  7
1.
2.
3.
4.
A
B
C
D
A.
B.
C.
D.
1.
2.
3.
4.
A
B
C
D
RENTAL COSTS Jeb wants to rent a car for his
vacation. Value Cars rents cars for $25 per day plus
$0.25 per mile. How far can he drive for one day if he
wants to spend no more that $200 on car rental?
A. up to 700 miles
B. up to 800 miles
C. more than 700 miles
D. more than 800 miles
A.
B.
C.
D.
A
B
C
D
What is the solution to 11  2x + 5 < 17?
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
What is the solution to x + 5 < 1 or –2x  –6?
Graph the solution set on a number line.
A.
B.
C.
D.
1.
2.
3.
4.
A
B
C
D
What is the solution to |x| < 5?
A. {x|x > 5 or x < –5}
B. {x|–5 < x < 5}
C. {x|x < 5}
D. {x|x > –5}
1.
2.
3.
4.
A
B
C
D
What is the solution to |x| > 5?
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
What is the solution to |3x – 3| > 9?
Graph the solution set on a number line.
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
What is the solution of the system of equations?
x+y=2
x – 3y = –6
A. (1, 1)
A.
A
B. (0, 2)
B.
B
C. (2, 0)
C.
C
D. (–4, 6)
D.
D
Which graph shows the solution to the system of
equations below?
x + 3y = 7
x–y = 3
A. A
A.
C.
B. B
C. C
D. D
B.
D.
Graph the system of equations below. What type of
system of equations is shown?
x+y=5
2x = y – 11
A. A
A. consistent and independent
B. B
B. consistent and dependent
C. C
C. consistent
D. D
D. none of the above
Graph the system of equations below. What type of
system of equations is shown?
x+y=3
2x = –2y + 6
A. A
A. consistent and independent
B. B
B. consistent and dependent
C. C
C. inconsistent
D. D
D. none of the above
Graph the system of equations below. What type of
system of equations is shown?
y = 3x + 2
–6x + 2y = 10
A. A
A. consistent and independent
B. B
B. consistent and dependent
C. C
C. inconsistent
D. D
D. none of the above
Solve the system of equations using substitution.
What is the solution to the system of equations?
x – 3y = 2
x + 7y = 12
A. (1, 5)
B.
C. (8, 2)
D. (5, 1)
A.
A
B.
B
C.
C
D.
D
AMUSEMENT PARKS At Amy’s Amusement Park,
tickets sell for $24.50 for adults and $16.50 for
children. On Sunday, the amusement park made
$6405 from selling 330 tickets. How many of each
kind of ticket was sold?
A. A
A. 210 adult; 120 children
B. B
B. 120 adult; 210 children
C. C
C. 300 children; 30 adult
D. D
D. 300 children; 30 adult
Use the elimination method to solve the system
of equations. What is the solution to the system?
x + 3y = 5
x + 5y = –3
A. (2, –1)
A.
A
B. (17, –4)
B.
B
C. (2, 1)
C.
C
D. no solution
D.
D
Use the elimination method to solve the system
of equations. What is the solution to the system of
equations?
x + 3y = 7
2x + 5y = 10
A.
A.
A
B. (1, 2)
B.
B
C. (–5, 4)
C.
C
D. no solution
D.
D
Use the elimination method to solve the system
of equations. What is the solution to the system of
equations?
2x + 3y = 11
–4x – 6y = 20
A. (1, 3)
A.
A
B. (–5, 0)
B.
B
C. (2, –2)
C.
C
D. no solution
D.
D
What is the solution to the system of equations
shown below?
2x + 3y – 3z = 16
x + y + z = –3
x – 2y – z = –1
A.
A.
A
B. (–3, –2, 2)
B.
B
C. (1, 2, –6)
C.
C
D. (–1, 2, –4)
D.
D
Which graph is the graph of f(x) = 2x2 + 3x + 2?
A.
B.
C.
D.
1.
2.
3.
4.
A
B
C
D
A. Consider the quadratic function f(x) = 3 – 6x + x2.
Find the y-intercept, the equation of the axis of
symmetry and the x-coordinate of the vertex.
A. y-intercept = 3, axis of symmetry :
x = –3, x-coordinate = –3
B. y-intercept = –3, axis of symmetry :
1.
x = 3, x-coordinate = 3
2.
C. y-intercept = 3, axis of symmetry :3.
x = 3, x-coordinate = 3
4.
D. y-intercept = –3, axis of symmetry :
x = –3, x-coordinate = –3
A
B
C
D
A. Consider the function f(x) = x2 + 4x – 1. Determine
whether the function has a maximum or a minimum
value.
A. maximum
B. minimum
C. both
D. none
1.
2.
3.
4.
A
B
C
D
B. Consider the function f(x) = x2 + 4x – 1. What is the
maximum or minimum value of the function?
A. –5
B. –1
C. 5
D. none
1.
2.
3.
4.
A
B
C
D
C. Consider the function f(x) = x2 + 4x – 1. What are
the domain and range of the function?
A. domain: all real numbers;
range: y ≥ –5
B. domain: all real numbers;
range: y ≤ –5
C. domain: x ≥ –5; range: all real
numbers
D. domain: x ≤ –5; range: all real
numbers
1.
2.
3.
4.
A
B
C
D
Which answer choice shows the graph and the
solution to x2 + 2x – 3 = 0?
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
Solve x2 – 6x = –9 by graphing.
A.
C.
B.
D.
1.
2.
3.
4.
A
B
C
D
NUMBER THEORY What are two real numbers whose
sum is 7 and whose product is 14?
A. 7, 2
B. –7, –2
C. 5, 2
D. no such numbers exist
1.
2.
3.
4.
A
B
C
D
Solve x2 – 4x + 2 = 0 by graphing. What are the
consecutive integers between which the roots are
located?
A. 0 and 1, 3 and 4
B. 0 and 1
C. 3 and 4
D. –1 and 0, 2 and 3
A.
B.
C.
D.
A
B
C
D
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
A. Factor the polynomial 2x2 – 9x – 5.
A. (2x – 1)(x – 5)
B. (2x + 1)(x – 5)
C. (2x + 1)(x + 5)
D. (2x – 1)(x + 5)
1.
2.
3.
4.
A
B
C
D
B. Factor the polynomial a3b3 + 64.
A. (ab + 4)(a2b2 – 4ab + 16)
B. (ab – 4)(a2b2 + 4ab + 16)
C. (a2b2 + 4)(a2b2 – 4ab + 16)
D. (a2b2 – 4)(a2b2 + 4ab + 16)
1.
2.
3.
4.
A
B
C
D
A. Solve x2 = 3x by factoring.
A. {0}
B. {3}
C. {0, 3}
D. {1, 3}
A.
B.
C.
D.
A
B
C
D
B. Solve 6x2 + 11x = –4 by factoring.
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
Solve x2 + 10x = –25 by factoring.
A. {–5, 5}
B. {–10}
C. {5}
D. {–5}
1.
2.
3.
4.
A
B
C
D