Download 070Practice Final Test

Math070 Practice Final Test
Perform the indicated operation.
1) (9x7 + 3x6 - 19) - (5x7 - 4x6 - 3)
2) -8xy(12x - 2y)
3) (5x + 3)(5x + 12)
4) (3a - 8b)(3a + 8b)
5) (12m - n)2
6) (9x - 1)(x2 - 7x + 1)
Plot the points, and name the quadrant or axis in which each is located.
7) A(-2, 6), B(0, -6), C(6, -2)
y
8
6
4
2
-8
-6
-4
-2
2
4
6
-2
-4
-6
-8
Graph the linear equation.
8) -9x - y = -8
y
10
5
-10
-5
5
-5
-10
10 x
8 x
9) 5y + 40x = 5
y
10
5
-10
-5
5
10 x
5
10 x
5
10 x
-5
-10
10) -3x - 27y = -9
y
10
5
-10
-5
-5
-10
11) y = 2
y
10
5
-10
-5
-5
-10
Solve the equation.
12) 14x + 18 = 5x - 18
13) 11(x + 3) = 6[10 - 2(3 - x) + 10]
14) 3(y + 6) + y = 2(2 + 2y)
15) 3n + 2 + n = 2(2n + 1)
Determine whether the statement is true or false.
16) -82 = (-8)2
Simplify.
17) 22 - 24 ÷ 2(5)
18) (3 - 8)3 - |-4 - 5| 2
19) [2|7 - 8| 7 - (-2)] ÷ (-2)
20)
7 + (-4)2 + 6(2)
6(8 - 6)
Evaluate the expression for the given values.
21) -x2 - 3y
when x = -2 and y = -4
22)
y - 7x
8x + xy
when x = -4 and y = 3
Write the sentence as an equation.
23) Five times the quotient of n and 11 is the opposite of 40.
24) 12 is equal to 8 subtracted from twice x.
25) Negative 55 is equal to x divided by the sum of x and 7.
Name the property illustrated.
26) 7(x - 3) = 7x - 21
27) (4 + x) + z = 4 + (x + z)
28) (-2) + 2 = 0
Simplify.
29) 7x + 15y - 4x - 7.2 + 10
30)
1 (8x - 14y) - 3(2x - y) - 5y
2
Simplify. Write the answer using positive exponents only.
31) (-3a)-2
32)
3-7x-3y 2
3-4x-6y 4
33)
-2
9x-3y 3
3xy -3
34) (8a-3b 3)-3(2ab -3)3
35)
(xw)3
(x4w)-4
Write the number in scientific notation.
36) 5,600,000
37) 0.0000918
Write the number in standard notation.
38) 9.334 × 10 -6
Write the number in scientific notation.
39) In a certain city, the bus system carried a total of 11,300,000,000 passengers. Write this number in scientific
notation.
Find an equivalent expression without parentheses.
40) -(7x - 4)
41) -(-3 + 6y)
42) -(-9x + 7y - 17z)
Remove parentheses and simplify.
43) -7(4r + 3) + 7(6r + 5)
44) 36r + 40 - 7(7r + 3)
45) (7x - 3y + 2) - 2(-7x + 3y - 2)
Simplify.
46) [3(x - 5) - 7] + [6(x - 1) + 6]
Solve.
47) V = 1 Bh for h
3
48) F = 9 C + 32 for C
5
49) a + b = s + r for s
50) x = w + y + z
9
for y
51) V = 6s3 for s3
52) 5x - 4y = 7 for y
53) F = pq 2 + prq for p
54) C = 5 (F - 32) for F
9
Solve.
55) Find 13% of 60.
Solve the problem. Round to the nearest tenth of a percent.
56) What percent of 7 is 0.03?
Solve the problem. Round to the nearest hundredth, if necessary.
57) What number is 160% of 335?
Solve the problem.
58) A high school graduating class is made up of 376 students. There are 96 more girls than boys. How many
boys are in the class?
Solve.
59) The height of the tallest building in Anne's home town is 651 feet, which is about 317 feet taller than the
tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?
60) Elaine was cooking dinner for some friends. She went out to do the shopping and spent $156. She spent
twice as much on food as on drinks. How much did she spend on each?
Answer Key
Testname: 070PRACTICE FINAL TEST
1) 4x7 + 7x6 - 16
2) -96x2y + 16xy 2
3) 25x2 + 75x + 36
4) 9a2 - 64b 2
5) 144m2 - 24mn + n2
6) 9x3 - 64x2 + 16x - 1
7) A: Quadrant II,
B: y-axis,
C: Quadrant IV
y
8
A
6
4
2
-8
-6
-4
-2
2
-2
4
8 x
6
C
-4
B
-6
-8
8)
y
10
5
-10
-5
5
10 x
5
10 x
-5
-10
9)
y
10
5
-10
-5
-5
-10
Answer Key
Testname: 070PRACTICE FINAL TEST
10)
y
10
5
-10
-5
5
10 x
5
10 x
-5
-10
11)
y
10
5
-10
-5
-5
-10
12) {-4}
13) {-51}
14) ∅
15) {n|n is a real number}
16) False
17) -38
18) -206
19) -2
35
20)
12
21) 8
22) -
31
44
23) 5
n
= -40
11
24) 12 = 2x - 8
25) -55 = x
x+7
26) distributive property
27) associative property of addition
28) additive inverse property
29) 3x + 15y + 2.8
30) -2x - 9y
Answer Key
Testname: 070PRACTICE FINAL TEST
31)
32)
1
9a2
x3
27y 2
33)
x8
9y 12
34)
a12
64b 18
35) x19w
36) 5.6 × 10 6
37) 9.18 × 10-5
38) 0.000009334
39) 1.13 × 1010
40) -7x + 4
41) 3 - 6y
42) 9x - 7y + 17z
43) 14r + 14
44) -13r + 19
45) 21x - 9y + 6
46) 9x - 22
47) h = 3V
B
48) C = 5 (F - 32)
9
49) s = a + b - r
50) y = 9x - w - z
51) s3 = V
6
52) y = 5x - 7
4
53) p =
F
2
q + rq
54) F = 9 C + 32
5
55) 7.8
56) 0.4%
57) 536
58) 140 boys
59) 334 ft
60) Drinks: $52; food: $104