DSPM 0800
Test 2
Review
Solve the equation.
1) b - 8 = 4
2) 8p - 12 = 7p + 1
3) 0.200x - 6 = 1.200x
4) -5a + 4 + 6a = 8 - 23
5) 5(y + 8) = 6(y - 5)
6) - 3
7p = - 1
6
7) 18x - 9x + 7x = 32
8) 7n - 10 = 18
9) 6(x + 4) = (6x + 24)
10) 4(x + 4) = (4x +23)
11) 0.8x - 0.4(20 + x) = 0.4(20)
12) 1
2(6x - 10) = 1
5(25x - 15)
13) -(5y + 7) - (-4y + 6) = 7
Translate the sentence into an equation
using the variable x. DO NOT SOLVE.
14) Three times a number equals six
less than four times the number.
15) If six times a number is subtracted
from seven times the number, the
result is nine.
Solve the problem.
16) One half of a number is 3 more than
one-sixth the same number. What is
the number?
17) When a number is divided by 4, the
result is -6. What is the number?
18) A high school graduating class is
made up of 456 students. There are
88 more girls than boys. How many
boys are in the class?
19) The sum of the measures of the
angles in any triangle is 180
degrees. In triangle ABC, angles A
and B have the same measure,
while angle C is 144 degrees larger
than each of the other two angles.
Find the measure of angle C.
20) Which of the following would not be
a reasonable answer in an applied
problem that requires finding the
number of cars parked in a parking
lot?
(i) -12 (ii) 64 (iii) 46 (iv) 5
A formula is given along with the values of all
but one of the variables in the formula. Find
the value of the variable not given. If
necessary, round the answer to the nearest
hundreth.
21) V = 4
3r3; r = 2, = 3.14
22) A = 1
2(b + B)h; A = 128, b = 12, B =
20
Solve the formula for the specified variable.
23) A = 1
2bh for b
24) S = 2rh + 2r2 for h
Express the phrase as a ratio in lowest
terms.
25) 18 miles to 12 miles
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