Download Read each problem. Identify what you need to know. Then use the

90: 2 • 3 • 3 • 5
36: 2 • 2 • 3 • 3
The greatest common factor is 2 • 3, or 6.
If there are 6 groups, the number of students in each
group is 90 ÷ 6, or 15, so the correct choice is J.
Preparing for Standardized Tests - Chapter 8
Read each problem. Identify what you need to
know. Then use the information in the problem
to solve.
3. What is the area of the square?
3
1. Which of the following values is not a solution to x 2
3x − 25x + 75 = 0?
A x = 5
B x = 3
C x = −3
D x = −5
SOLUTION: You need to know which of the following values is
NOT a solution. Solve the equation to find out which
values are solutions.
2
A x + 16
B 4x − 16
C x2 − 8x − 16
2
D x − 8x + 16
SOLUTION: You need to know the area of the square. Area is
equal to length times width.
The correct choice is D.
The solutions are –5, 5, and 3. –3 is not a solution, so
the correct choice is C.
2. There are 12 teachers, 90 students, and 36 parent
volunteers going on a field trip. Mrs. Bartholomew
wants to divide everyone into equal groups with the
same number of teachers, students, and parents in
each group. If she makes as many groups as possible,
how many students will be in each group?
F 6
G 9
H 12
J 15
SOLUTION: You need to know how many students will be in each
group, if there are as many groups as possible. First
find the largest number of groups possible. Then find
the how many students will be in each group.
Find the greatest common factor.
12: 2 • 2 • 3
90: 2 • 3 • 3 • 5
36: 2 • 2 • 3 • 3
The greatest common factor is 2 • 3, or 6.
If there are 6 groups, the number of students in each
group is 90 ÷ 6, or 15, so the correct choice is J.
4. Students are selling magazines to raise money for a
field trip. They make $2.75 for each magazine they
sell. If they want to raise $600, what is the least
amount of magazines they need to sell?
F 121
G 177
H 202
J 219
SOLUTION: You need to know how few magazines the students
can sell and still make $600. Set up an inequality. The least amount of magazines they need to sell is
219, so the correct choice is J.
3. What is the area of the square?
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A x + 16
B 4x − 16
C 2
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