Algebra
UNIT
Required Skills:
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MIDTERM EXAM REVIEW
4 WORD PROBLEMS (BLUE NOTES)
solve word problems comparing two or more quantities.
solve word problems involving ratios.
solve word problems involving perimeter.
solve word problems involving the angles of a triangle.
solve word problems involving consecutive integers.
work with measures of central tendency.
solve word problems involving means.
For each of the following sets of data, calculate:

Mean

Median

Mode
1)
Set of test grades: 85, 91, 82, 71, 97, 85, 71, 61
2)
Set of concert ticket prices: $60, $55, $110, $90, $75
MCD/LPG/MPH 1/13

Range
1
Algebra
Solve each of the following word problems. Show the following steps on
 LET statement
 Equation
 Solve the equation
 Answer in sentence form
LOOSE LEAF.
3)
Eight times a number increased by 13 is 19 less than 4 times the number. Find the
number.
4)
The larger of two numbers is 7 more than 5 times the smaller. Their sum is 55. Find
the numbers.
5)
The number of boys to girls in a class is 6:7. If there are 39 students in the class,
how many are girls and how many are boys?
6)
The sides of a triangle are in a ratio of 3:4:6, and its perimeter are 52 inches. Find
the lengths of the sides of the triangle.
7)
The base of an isosceles triangle is four more than three times of the measure of
the legs. If the perimeter is 84 cm, find the lengths of the sides of the triangle.
8)
The second angle of a triangle is 18 more than twice the first. The third angle is 12
more than seven times the first. Find the measures of the angles.
9)
A rectangle’s length is 3 more than 5 times its width. Its perimeter is 126 meters.
Find the length and width.
10) A rectangle’s length is 1 cm less than twice its width. Find its length and width if
the perimeter is 52 cm.
11) Find two consecutive integers whose sum is 59.
12) Find two consecutive even integers whose sum is 90.
13) Find three consecutive odd integers whose sum is -135.
14) Joe scored a 70, 75, and 90 on his quizzes. What must he score on his fourth quiz
for his average to be an 80?
15) Scott’s scores on his quizzes are 74, 82, 93, and 89. What does he need to score on
his fifth quiz in order for his average to be an 85?
MCD/LPG/MPH 1/13
2