Mat 0028
Practice Test 1
Chapter 2
Name___________________________________
Simplify.
1) 240 ÷ 6 - 4
11) 3(y + 5) = 4(y - 2)
12)
2) 3 · (5 + 5)2 - 2 · (6 - 3)2
Solve.
Add or subtract.
3) |14| - |-20|
Simplify the expression.
4) -3 + 14 + 8
3
1 7
x+ = x
2
5 5
13) Four times the difference of a number and one
is equal to six times the sum of the number and
three. Find the number.
14) Three times the sum of some number plus 3 is
equal to 7 times the number minus 15.
Solve the equation.
5) t - 4 = 14
Solve the problem.
15) A 9-ft. board is cut into 2 pieces so that one
piece is 5 feet longer than 3 times the shorter
piece. If the shorter piece is x feet long, find the
lengths of both pieces.
Solve the equation. Don't forget to first simplify each side
of the equation, if possible.
6) -5a + 2 + 6a = 7 - 30
16) Mary and her brother John collect foreign
coins. Mary has twice the number of coins that
John has. Together they have 105 foreign coins.
Find how many coins Mary has.
7) (x - 6) - (x + 7) = 3x
Solve the equation.
1
8) x = 9
7
Solve.
9) 3n - 3 = 21
10) 0.7x - 0.9x - 6 = 4
1
17) You have taken up gardening for relaxation
and have decided to fence in your new
rectangular shaped masterpiece. The length of
the garden is 2 meters and 20 meters of fencing
is required to completely enclose it. What is the
width of the garden?
18) Ted drove to his grandparents' house for a
holiday weekend. The total distance (one-way)
was 476 miles and it took him 13 hours. How
fast was Ted driving? (Round answer to the
nearest whole number)
19) Use the formula C =
Solve the problem. Assume that simple interest is being
calculated in each case. Round your answer to the nearest
cent.
26) Robert Hall opened a security service
company. To pay for startup costs, Robert Hall
borrowed $45,000 from a bank at 9% for 1 year.
Find the interest.
5
(F - 32) to write 5° F as
9
Solve. Round answers to the nearest cent.
27) A store is advertising 10% off sale on
everything in the store. Find the discount of a
camera that regularly sells for $170.
degrees Celsius.
Substitute the given values into the formula and solve for
the unknown variable.
1
20) A = (b + B)h; A = 140, b = 19, B = 16
2
Solve. Round to the nearest tenth, if necessary.
28) A company increased the number of its
employees from 100 to 105. What was the
percent increase in employees?
Solve the equation for the indicated variable.
1
for h
21) V = Ah
3
22) P = 2L + 2W
29) In the past ten years, the population of a city
decreased from 150,000 to 145,000. Find the
percent decrease.
for L
Use a proportion to solve the problem.
30) Joan can mow a 7-acre field in 4 hours. How
long would it take her to mow a 4.9-acre field?
Solve. Round to the nearest hundredth, if necessary.
23) 92 is 20% of what number?
31) On Anne's bicycle, the ratio of pedal turns to
rear-wheel turns in second gear is 4 to 7. If her
rear wheel turns 896 times per mile, how many
times does she turn the pedal in one mile?
24) 50% of what number is 76?
Find the simple interest. Round your answer to the nearest
cent.
25) Principal = $20,200
Rate = 4%
Time in years = 3
Solve the equation.
4
x+6
32) =
5 x + 11
33)
2
2x - 6 5x + 4
=
4
2
Solve the inequality.
34) 6x + 10 5x + 3
Solve the inequality and write the solution set in interval
notation.
35) - 3x 15
Solve the inequality.
36) 30x - 15 > 5(5x - 4)
43) 3.6 mi =
ft
44) 55 km =
m
45) 87.55 m =
mm
46) 92.05 m =
km
47) 113 cm =
m
48) 5 km =
mi (Round to the nearest tenth.)
49) 3.9 m =
in. (Round to the nearest tenth.)
50) 3.5 yd =
m (Round to the nearest tenth.)
37) -9x - 21 -3(2x + 15)
Solve.
38) Eight less than three times a number is less
than ten. Find all such numbers.
39) The area of a rectangle must be at least 102
square feet. If the length is 6 feet, find the
minimum for the rectangle's width.
40) A student scored 73, 74, and 97 on three
algebra tests. What must he score on the fourth
test in order to have an average grade of at
least 85?
Complete.
41) 204 in. =
42) 6 ft =
ft
in.
3