Download Review TEST 1 MAT 1033

Review TEST 1 MAT 1033
Name___________________________________
Collect like terms.
1) 8q - 7 - 3p + 7q - 9p
Answer: 15q - 12p - 7
2)
7
5
5
3
x + y - x - y + 19
3
6
6
4
Answer:
3
1
x+
y + 19
2
12
Remove parentheses and simplify.
3) (3x - 3y + 2) - 2(-3x + 3y - 2)
Answer: 9x - 9y + 6
Simplify.
4) [2(x - 2) - 5] + [7(x - 1) + 7]
Answer: 9x - 9
5)
2 · (2 + 2) + 2 · 5
2 · (6 - 1)
Answer: 1
6)
4
5
125 - 2 · 5
3
4 ÷ 42 - (-4)2
Answer: -
115
12
Provide an appropriate response.
7) Choose the expression that is equivalent to the following: 7(4a) + 7(3b)
A) 14(4a + 3b)
B) 7(7ab)
C) 7(4a + 3b)
D) 14(7ab)
Answer: C
8) Choose the expression that is equivalent to the following: 15x + 3y
A) 18xy
B) 3(5x + 3y)
C) 3(5x + y)
D) 3(12x + y)
Answer: C
9) Choose the expression that is equivalent to the following: (6x + 8y)(5y + 7x)
A) (6x + 8y)(7y + 5x)
B) (6x + 7x)(8y + 5y)
C) (6x + 8y)(7x + 5y)
D) 13x + 13y
Answer: C
10) Choose the expression that is equivalent to the following: (6x + 2y)(2y3)
A) (2y3 )(6x + 2y)
B) (6x + 2y3 )(2y)
C) 6x + (2y + 2y3 )
Answer: A
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D) (6x) + (2y)(2y3)
11) Is the integer 0 positive or negative? Explain.
Answer: The integer is neither. It is not a signed integer. It is the starting point on a number line.
12) Is this statement true or false? Why?
(7 - 7) - 7 = 7 - (7 - 7)
Answer: False. Answers will vary.
Decide if the given number is a solution to the given equation.
13) 3m + 8 = 34; 8
Answer: No
Solve the equation using the addition principle.
3
1
=
14) s +
10 2
Answer:
Solve.
1
5
15) 9x - 5 + 7x = 7x + 46 - 8x
Answer: 3
16) 2 - 3x = 6x - 4x - 38
Answer: 8
Solve. Clear fractions first.
1
17) x + x = 10
4
Answer: 8
18)
2
1
x- x=3
5
3
Answer: 45
19)
1
1
4
r+ 2= r+
3
6
3
Answer: -4
Solve.
20) 5.9x + 5.2x = 199.8
Answer: 18
Solve. Clear decimals first.
21) 33.6t + 268.8 = 9.6t + 76.8
Answer: -8
2
Solve.
22) 7x - (5x - 1) = 2
Answer:
1
2
23) 6(x + 1) + 12 = 5(x + 2) + 11
Answer: 3
24) 2.9(x + 4.1) - 9.9 = 6(x + 1) - 13
Answer: 2.9
25) 4x - 5 + 5x - 5 = 6x + 3x + 10
Answer: No solution
26) -6 + x = x - 6
Answer: All real numbers
27) V =
1
Bh for h
3
Answer: h =
28) F =
3V
B
9
C + 32 for C
5
Answer: C =
5
(F - 32)
9
Solve the problem.
29) One half of a number is 3 more than one-sixth the same number. What is the number?
Answer: 9
30) Two angles of a triangle are 30° and 80°. What is the measure of the third angle?
Answer: 70°
31) Find the measures of the supplementary angles.
Answer: 101.25° and 78.75°
32) Find the length of a rectangular lot with a perimeter of 132 meters if the length is 4 meters more than the width.
(P = 2L + 2W)
Answer: 35 m
33) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 5 more of the twenties. The
total value of the money is $700. Find the number of five-dollar bills that the teller has.
Answer: 24
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34) From a point on a river, two boats are driven in opposite directions, one at 8 miles per hour and the other at 7
miles per hour. In how many hours will they be 75 miles apart?
Answer: 5 hours
35) Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of
time he was slowed to 20 mph due to a major accident. If the total time of travel was 6 hours, how many miles
did he drive at the reduced speed?
Answer: 40 miles
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