GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n...
Transcript of GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n...
GED®
Prep Live:
Math Test Pre-Assessment
A.
B.
C.
D.
Session 1, Question 1
1. Simplify the expression completely. Leave your answer in radical form.
15 12
15 12 15 12
3 5 3 2 2
2 23 5 2
2 23 5 2
3 2 5
6 5
6 5
3 5
2 5
5
A.
B.
C. 16
D. 32
Session 1, Question 2
2. Which number, when placed in the box, will make the equation true?
2
64
8
32
A. 5
B. 8
C. 10
D. 13
Session 1, Question 3
3. Alice, Kathy, and Sheila work as medical assistants at Valley Clinic. Alice has worked 8 years longer
than Kathy. Kathy has worked half as long as Sheila. If Sheila has worked at the company for 10
years, how many years has Alice worked there?
A. $572.18 + c = $434.68
B. $572.18 − c = $434.68
C. $572.18c = $434.68
D.
Session 1, Question 4
4. Mike had $572.18 in his checking account. After writing a check, he had $434.68. Which of the
following equations could be used to find the amount of the check, c?
$572.18
$434.68c
Session 1, Question 55. Angela likes to use two walking sticks when she goes hiking, but the two walking sticks she has
been given recently are different lengths. One is feet long, and the other is feet long. Angela
wants to cut the longer stick to match the shorter one. How much should she cut from the longer stick
so that the two walking sticks will be the same length?
13
2
43
5
A. feet
B. feet
C. feet
D. feet
3
4
3
5
3
10
1
4
A. $4,500
B. $5,500
C. $9,500
D. $12,000
Session 1, Question 6
6. Jim is a salesperson, and his employers expect him to sell at least $12,000 in merchandise per
month. In April, Jim sold $2,500 in the first week of the month and twice that much in the second week.
How much must he sell in the rest of April combined in order to sell the minimum expected of him?
A. 4.54 × 107
B. 4.54 × 109
C. 4.54 × 1010
D. 2 (127 × 107)
Session 1, Question 7
7. Scientists estimate that Earth is 4,540,000,000 years old. What is that number expressed in
scientific notation?
A. p = $5.00 – (n – 1) $0.50
B. p = $5.00 – n ($0.50)
C. p = (n – 1) $5.00
D. p = $0.50 (10n)
Session 1, Question 8
8. The XYZ Company sells hats and will monogram them if customers choose. The price for each
monogram varies depending on how many hats a customer would like to have monogrammed. The
monogram prices for several order sizes are shown below. Which of the following best expresses the
relationship of price per monogram (for all nonnegative values of p) to number of hats monogrammed
shown in the table below?
price per monogram: one hat = $5 each
two hats = $4.50 each
three hats = $4.00 each
save (subtract) $0.50 per hat for each hat after the first one
$0.50 (n – 1)
price per monogram = $5.00 – $0.50 (n – 1)
A. 27 < 6s
B. 6 (s – 27)
C. 6s – 27
D. 6s < 27
Session 1, Question 9
9. There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the
Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty. Which
expression represents the number of steps in the Washington Monument in terms of s?
Start by translating from English to math:
s = steps from pedestal to head
27 less than = – 27
6 times the number of steps in the Statue of Liberty = 6s
Washington Monument = 6s – 27
A. 6.75
B. 9.25
C. 10.00
D. 11.75
Session 1, Question 10
10. A jar holds 16 ounces of honey. A cook is going to make two recipes. One of the recipes calls for
2.5 ounces of honey, and the other calls for 4.25 ounces of honey. After the cook has made those two
recipes, how many ounces of honey will be left in the jar?
A. 8.0 × 10–6
B. 1.25 × 10–3
C. 8.0 × 102
D. 1.25 × 105
Session 1, Question 11
11. Cilia are very thin, hair-like projections from cells. They are 2.0 × 10–4 millimeters wide. What is the
maximum number of cilia that would fit side by side—without overlapping—across a microscope slide
that is 25 millimeters wide? Write the answer in scientific notation.
Determine the correct operation to use: division
Use your calculator or divide manually:
1
4 4
25 2.5 10
2.0 10 2.0 10
1 ( 4 )2.5( ) 102.0
51.25 10
Session 2, Question 1
1. For a 10-day period, a bank kept track of the number of new accounts opened each day. The
results are shown in the table below. What is the median number of accounts opened per day
during this 10-day period?
A. 5
B. 5.3
C. 5.5
D. 6
Median is the middle number when the terms are arranged in order!
2, 4, 4, 5, 6, 6, 7, 7, 8
A. $49.44
B. $54.44
C. $73.37
D. $189.70
Session 2, Question 2
2. Richard goes to the electronics store. He buys 2 memory cards that cost $8.99 each and 3
packages of batteries that are on sale for $7.47 each. He also buys a case for his cell phone for $2.99
and a wireless headset for $29.99. What is the total cost of Richard’s items, before sales tax?
8.99 (2) + 3 (7.47) + 2.99 + 2.99 = 17.98 + 22.41 + 2.99 + 29.99
= 73.37
A. None of Marjorie’s students received an F on the
exam.
B. Most of Marjorie’s students received either an A or a B
on the exam.
C. If Marjorie gave the same exam again to another group
of students, most of those students would receive a C.
D. More students received either an A or a B than
received either a D or an F.
Session 2, Question 3
3. Marjorie has a class of 35 students, and she tracked their performance on a recent math exam.
The graph below represents how their scores were distributed along the range of possible scores,
from F to A. Based on the graph, which of the following is a true statement?
3 STUDENTS NO!
A or B: 6 + 7 C, D, F: 12 + 7 + 3
A or B: 6 + 7
C or D: 7 + 3
A. 4
B. 36
C. 160
D. 360
Session 2, Question 4
4. Fifteen percent of the workers at Nationwide Industries earn minimum wage. If 24 workers earn
minimum wage, how many total workers are there at Nationwide Industries?
A. 2
B. 3
C. 4
D. 6
Session 2, Question 5
5. Janelle has recently been hired for the job of library assistant. The following graph shows what
percent of her time will be spent on each of five tasks each day. The number of hours that Janelle will
spend working at the counter is about how many times the number of hours that she will spend
processing new books and repairing bindings?
A.
B.
C.
D.
Session 2, Question 6
6. The spinner shown in the drawing is divided into eight equal sections. If you spin the spinner one
time, what is the probability of NOT getting blue?
1
8
1
4
3
4
7
8
Prob. of NOT blue = 1 – prob. of blue
A. 0;
B. 0; 8
C. ; 0
D. ; 8
Session 2, Question 7
7. The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the
ibuprofen was taken. The level of ibuprofen in the patient’s bloodstream increased only from ____
to ____ hours.
2
3
2
3
2
3
The level increased over interval(s)
where there is a positive slope
A. 25%
B. 33%
C. 75%
D. 80%
Session 2, Question 8
8. A computer monitor is regularly priced at $320. During a two-day sale, the price was decreased to
$240. Which of the following is the percentage decrease of the monitor’s price during the sale?
The question asks for the percentage decrease, not the
percent change, so the answer is 25%.
A. $2.43
B. $3.61
C. $4.12
D. $5.77
Session 2, Question 9
9. A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84.
What was the rental cost per hour?
Session 2, Question 10
Session 2, Question 10
Session 2, Question 10
From 5:30 to 5:59 p.m.: 2% - eliminate answer choices
A, B, and C
Answer choice (D) is correct!
A.
B.
C.
D.
Session 3, Question 1
1. A fountain’s pool is enclosed by a circular plastic tank. The distance from the center of the pool to
the wall of the tank is 10 feet. How long is the wall of the tank in feet?
20
20
25
100
A. $16
B. $20
C. $28
D. $40
Session 3, Question 2
2. Susan and Jim each own a lawn-care business. The amount Susan charges for lawn care by the
hour is shown in the table. The amount Jim charges for lawn care by the hour is shown in the graph.
What is the difference between Susan’s and Jim’s lawn-care businesses in the amounts they charge
for 10 hours of work?
A. 48π
B. 96π
C. 192π
D. 768π
Session 3, Question 3
3. Beansey’s Baked Beans, Inc., has developed a new can for its baked beans, shown below. What is
the volume of the new can, in cubic centimeters?
A. 290
B. 2,100
C. 2,800
D. 4,100
Session 3, Question 4
4. Tina is considering renting a commercial space for her business. The space is shown below. What
is the area of the commercial space, in square feet?
Session 3, Question 5
C.
D.
(–5, 1) is an (x, y) coordinate
The x-coordinate indicates horizontal position
–5 means 5 units to the left
Eliminate answer choices B, C, and D
The y-coordinate indicates vertical position
+1 means 1 unit up
This matches answer choice (A)
A.
B.
C.
D.
Session 3, Question 6
6. Line H is the graph of which of the following equations?
1
23
y x
2
23
y x
2
23
y x
3( 2) 2y x
The y-intercept is + 2
Pick two points to calculate slope
(0, 2) and (–3, 0)
y = mx + b
y = x + 2
2 0 2
0 ( 3) 3m
2
3
A. –2
B.
C.
D. 2
Session 3, Question 7
7. Line W passes through the following points on the coordinate grid: (0, –9) and (4, –1). What is the
slope of line W?
1
2
1
2
A. (2, –5)
B. (0, 3)
C. (0, 9)
D. (2, 5)
Session 3, Question 8
8. What is the solution to the system of equations 3x − 3y = −9 and 2x + y = 9?
A. 195
B. 185
C. 192
D. 210
Session 3, Question 9
9. The diagram shows a polygon composed of rectangles. What is the perimeter, in feet, of the
polygon?
A. {–5, 2}
B. {–2, –1}
C. {2, 7}
D. {5, 10}
Session 3, Question 10
10. What is the solution set of the equation x2 + 3x – 4 = 6?
To factor a quadratic, set it equal to 0 and identity the two factors of c that
sum to b when the equation is in ax2 + bx + c form
x2 + 3x – 10 = 0
(x + 5) (x – 2) = 0
x = –5 or 2
A.
B.
C.
D.
Session 3, Question 11
11. Solve the equation for x.
5x2 –4x = 6
2 26
5x
2 26
5x
2 34
5x
2 34
5x