Download MATH-A Exam #0 FWS - Diagnostic Test

MATH-A
FWS - Diagnostic Test - POST
1
Travis would like to buy some toys to donate to charity. He plans to buy 9 dolls at d dollars each, 2 toy cars at c dollars each, and 3 train sets at t dollars each. Which expression represents the total cost, in dollars, of these items that Travis wants to buy?
A
B
C
D
2
9c
9d
9d
9c
+ 2t
- 2c
+ 2c
- 2t
+ 3d
- 3t
+ 3t
- 3d
Look at the given statements. Which two statements are equivalent?
F 1 and 2
G 1 and 4
H 2 and 4
J 1 and 3
3
[Exam ID:2XP1M0] Scan Number:7505
Evaluate the expression: -8 - |-2| + 5
A
B
C
D
-15
-5
-1
-11
4
What is the value of this expression when x = 2 ?
3 x 2 + 3x - 2
16 3 40 G
9 4 H
3 4 J
9 F
5
What is the value of the expression shown when h = 2, g = 6?
A 8
B 16
C 12
D 75
6
What is the slope of the line 2 - y = 8x ?
F
G
H
J
7
8
-8
-1
2
If y ≠ 0, which expression is equivalent to the one shown below? A
B
C
D
8
Which is a simplified form of the following expression using only positive exponents? (5 x )-3(25x -8) F
G
H
J
9
25 x 11 1 3x 24 x 8 3 1 5x 11 While solving an equation, Lenny wrote the following steps on the board. What property of real numbers guarantees that the second equation is equivalent to the first?
A Additive inverse property
B Associative property of addition
C Commutative property of addition
D Distributive property
10
Simplify 3√48
F 2 3√3
G 6 3√8
H 2 3√6
J 8 3√6
11 Which equation represents the horizontal line passing through (7, 5) ?
A x = 5
B y = 5
C x = 7
D y = 7
12 Kyle was given the key and created the model shown. Which expression completes Kyle's model?
F x + 1
G 3x 2 - x - 2
H 3x 2 + 5x - 2
J x - 1
13
Which equals (x 4 + 6x 3 - 4x - 24) ÷ (x + 6) ?
A x 3 - 4x - 4
B x 3 - x 2 - 4
C x 3 - 4
D x 3 + 4
14 Which of the following expressions is equal to (3y + 1)(2y - 3) - (4y 2 + 2)?
F 4y 2 + 5y
G 4y 2 - 5y
H 2y 2 - 7y - 5
J 2y 2 - 7y - 1
15
Which is a factor of 2x 2 - 9x + 7 ?
A
B
C
D
(x + 1)
(x - 7)
(2x + 7)
(2x - 7)
16 Which equation shows a line with a slope of 3 and passing through the point (-4, 3)?
F
G
H
J
y - 3 = 3(x - 4)
y + 4 = 3(x + 3)
y + 4 = -3(x - 3)
y - 3 = 3(x + 4)
17 Which polynomial can NOT be factored over the set of real numbers?
A x 2 + 3x + 2
B x 2 + 5x + 6
C x 2 - x - 2
D x 2 + 4x + 5
18
In simplest radical form, √80x7y6 is equivalent to
F 4x3y3√5x
G 40x3y3√x
H 40x2y2√x3y2
J 4x2y2√5x3y2
19 What is the solution for b in the following equation? 1 A = bh
2 1 Ah
2 2A B b = h Ah C b = 2 2 h D b = A A b = 20 What property of equality is illustrated by the following statement? If 3 x = y and y = 4x – 5 then 3x = 4x – 5.
F Reflexive property
G Symmetric property
H Transitive property
J Distributive property
21 Which of the following is a solution of 3x 2 - 4x + 1 = 0?
A -1
1 B 3 C 3
1 D
3 22
If 3 1 4 b - = 1 , what is the value of b ?
5 2 5 5 6 3 G 2
10 3 H 3
10 5 J 3
6 F 2
23 What is the solution for the following equation? 6( x + 6) = 5(-2x - 2) - 5.2
A
B
C
D
-3.2
1.3
3.2
12.8
24
What is the solution to the system of equations shown in the coordinate plane above?
F
G
H
J
(-3, 0)
(1, -2)
(-1, -2)
(-1, 2)
25 Maria called her sister long distance on Wednesday . The first 5 minutes cost $3, and each minute after that cost $0.25. How much did it cost if they talked for 15 minutes?
A $ 9.00
B $ 6.75
C $ 3.25
D $ 5.50
26 Mrs. Crews bought 4 pencils and 3 pens for $5.60. Miss Houston bought 2 pencils and 3 pens of the same kind for $4.60. What was the price of each pencil and each pen?
F $0.50 per pencil, $1.20 per pen
G $0.17 per pencil, $1.64 per pen
H $0.80 per pencil, $0.80 per pen
J $1.70 per pencil, $0.20 per pen
27 Look at the system of equations. What is the value of x for the solution to this system of equations?
A -5
B -3
C 3
D 5
28 What is the solution to the following inequality? -6 < 3(-6 - 4x )
F
G
H
J
x < -1
x > -1
x < 1
x < 0
29 Pierre solved an inequality as shown. Step 1: -8 ≥ n + 3 Step 2: ­8 + (­3) ≥ n + 3 + (­3) Step 3: ­11 ≥ n + 0 Step 4: ­11 ≥ n What property justifies the work between Step 3 and Step 4 ?
A Inverse property of addition
B Identity property of addition
C Addition property of inequality
D Commutative property of addition
30 The length, l , of a rectangle is 3 times its width. The perimeter of the rectangle is greater than 48 centimeters. Which inequality expresses all the possible lengths, in centimeters, of the rectangle?
F l > 6
G l > 12
H l > 18
J l > 36
31
Which graph best shows the solution to the system of inequalities above?
A
C
B
D
32 Line l has slope 2 and goes through (1, 3). Which is one form of the equation for line l ?
F y = 3x +2
G y = 2x +5
H y = x + 2
J y = 2x +1
33
Which function is represented by the graph?
A
B
C
D
ƒ(x ) = 1 + x
ƒ(x ) = - x
ƒ(x ) = -1 - x
ƒ(x ) = -1 + x
34 What is the slope of the line that passes through (­2, 5) and (3, 9) ?
-5 4 -4 G
5 4 H
5 5 J
4 F
35 Three different types of cars were tested on their gas mileage. The results are shown. From the representations shown, the gas mileage for a —
large car at the 75th percentile is the same for the gas mileage at the 75th percentile for a midA
size car.
large car at the 50th percentile is more than the gas mileage at the 25th percentile for a small B
compact car. mid-size car at the 25th percentile is the same for the gas mileage at the 25th percentile for a C
small compact car. mid-size car at the 100th percentile is larger than the gas mileage at the 75th percentile for a D
small compact car. 36 This table shows the wind chill at 40°F for various wind speeds. Which equation most closely represents a line of best fit for the data?
F
G
H
J
t
t
t
t
= -35s + 0.2
= -0.2s + 35
= 0.2s - 35
= 35s - 0.2
37 Karen knows that the z­score for a specific element within a set of data is .97. Karen can conclude that the element falls approximately —
A half of a standard deviation above the mean of the data set
B one standard deviation below the mean of the data set
C one standard deviation above the mean of the data set
D half of a standard deviation below the mean of the data set
38 Collin caught 15 fish in each of the two ponds on his ranch. The box­and whisker plots summarize the lengths in inches of the fish from each pond. The lengths of the fish from Willow Pond have a —
F mean equal to 20 inches
G greater range than the lengths of those from Taylor Pond
H lower quartile equal to the lower quartile for Taylor Pond
J median equal to 12 inches
39 Statistical information for a data set is given. •The mean is 18.1. •The z­score for 13.0 is ­1.7. What is the standard deviation for this data set?
A 1.7
B 3.0
C 3.4
D 5.1
40 Look at the graph of a function with the following constraints: The coordinates for point A and B must be —
F A (-3, 7), B (-9, 11)
G A (7, -9), B (-3, 11)
H A (-9, 11), B (-3, 7)
J A (-3, 11), B (7, -9)
41 The depth of a lake, d , varies directly with r , the amount of rainfall last month. If k is the constant of variation, which equation represents the situation?
r k B d = kr
C d = k + r
k D d = r A d = 42 Which table represents an inverse variation?
F
G
H
J
43 Which graph best represents the function g(x ) = (x ­ 2)(x + 4) ?
A
C
B
D
44
What is g (2) for g (x) = F
G
H
J
1 3
x + 2x ?
2 5
12
7
8
45 What is the x ­intercept of the graph of the following equation? 1 x ­ 3y = 8
2 A 8
1 B
2 C 4
D 16
46
What is the domain of the function?
F {-3, -1, 0, 1, 3}
G {-3, -2, 0, 1, 2}
H {-3, 0, -1, -2 }
J {-2, -1, 0, 1, 2}
47
In the equation f (x ) = 5x 2 ­ 3x , which value(s) for x makes f (x ) = 0 true?
3 5 3 B x = 0 and 5 3 C x = ±
5 D x = 0
A x = 0 and 48
{(­9, 3), (5, ­6), (3, ­1), (­6, 5), _?_} Which ordered pair can replace the missing value and make the set of ordered pairs NOT a function?
F (-1, -6)
G (9, 3)
H (6, 3)
J (-6, -9)
49 The table shows the maximum weight (in pounds) that can be supported by a 165 foot floor beam of different depths. Find a quadratic model of best fit for the data. A 10x2 - 97x + 285
B .3x2 - 7.3x + 18.9
C 102x2 - 616x + 304
D -8.86x2 + .01x + 5.11
50 The graph of line n is shown. Which number is closest in value to the slope of line n ?
F -4
-1 G
4 1 H
4 J 4