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MAT0024
PRACTICE TEST # 2
NAME _________________________________
INSTRUCTOR M.BEYLIN
10)
r+ 6 r+ 8
=
5
7
11)
3 (y - 2)
= 1 - 3y
5
Simplify the expression by combining like terms.
1) -4y + 3 - 6 + 5 + y - 2
Write the phrase as an algebraic expression and simplify if
possible. Let x represent the unknown number.
2) The product of -20 and the sum of a number
and 24.
3) One-half a number, minus ten, plus five times
the number.
12) 0.01y + 0.10(6000 - y) = 0.41y
4) The sum of four times a number and 4, and six
times a number and 1.
13) 6(x + 4) = (6x + 24)
Simplify each side of the equation, if possible. Then solve
the equation.
14)
1
1
1
(8x - 12) = 6 x +7
4
3
2
15)
x
x
-2=
7
7
5) 10y = 2y + 4 + 7y
Write the algebraic expression described. Simplify if
possible.
Substitute the given values into the formula and solve for
the unknown variable.
1
16) A = (b + B)h; A = 102, b = 19, B = 15
2
6) In the race for Student Body President, Jose
received 462 more votes than Angela. If Angela
received x votes, how many votes did Jose
receive?
Solve the equation.
Solve the formula for the specified variable.
17) S = 2πrh + 2πr2 for h
7) 6 = -4x + 10
Write the algebraic expression described. Simplify if
possible.
18) V =
8) If x is the first of three consecutive integers,
express the sum of 29 and the third integer as
an algebraic expression in terms of x.
19) F =
Solve the equation.
1
Bh for h
3
9
5
C + 32 for C
9) 13(5c - 6) = 8c - 6
20) P = 2L + 2W for L
1
Solve. Round to the nearest hundredth, if necessary.
Solve the inequality. Write the solution set in interval
notation and graph the solution set.
21) 4.3 is what percent of 17.3?
30) a - 5 < -1
22) 53 is 30% of what number?
23) 40% of what number is 63?
31)
Solve the problem.
x
<2
-3
24) A college algebra class started the semester
with 43 students. By midterms, 15 remained
enrolled in the class. What percent of students
dropped the algebra class? (Round to the
nearest tenth of a percent if necessary.)
Write the ratio in fractional notation in lowest terms.
25) 14 quarters to 13 dollars
32) -6(4y - 6) < -30y + 30
Solve the proportion.
x+1
5
26)
=
2x + 8 3
27)
5
7
=
x + 2 2x
Solve.
28) A can of lemonade comes with a measuring
scoop and directions for mixing are 4 scoops of
mix for every 40 cups of water. How much
water is needed to make the entire can of
lemonade if there are 40 scoops of mix?
29) On an architect's blueprint, 1 inch corresponds
to 5 feet. Find the area of an actual room if the
blueprint dimensions are 2 inches by 6 inches.
2
Answer Key
Testname: 0024 EXAM2 REVIEW
1) -3y
2) -20(x + 24)
11
3)
x - 10
2
32) (-∞, -1)
-8
4)
5)
6)
7)
8)
10x + 5
4
(x + 462) votes
1
x + 31
24
9)
19
10) -1
11
11)
18
12)
13)
14)
15)
16)
1200
All real numbers
No solution
No solution
6
S - 2πr2
17) h =
2πr
18) h =
3V
B
19) C =
5
(F - 32)
9
20) L =
P - 2W
2
21)
22)
23)
24)
24.86%
176.67
157.5
65.1%
7
25)
26
26) 27)
37
7
14
3
28) 400 cups
29) 300 ft2
30) (-∞, 4)
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10 11
31) (-6, ∞)
-9
-8
-7
-6
-5
-4
-3
3
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6