Download Math070 Practice Final Test Form A 1) Simplify: 4 2 2 6 3 ÷ − ÷ . 2

Math070 Practice Final Test
Form A
1)
Simplify: 24 ÷ 22 − 62 ÷ 32 .
2)
Write
3)
Apply the distributive property to the expression
4)
Two or more equations with the same solution set are said to be __________ equations.
2
as an equivalent fraction with denominator 33.
11
1 ⎛
3 ⎞
⎜ 9 x + y ⎟ and then simplify the result.
3 ⎝
7 ⎠
5)
Age: The ages of two persons differ by 16 years. If 6 years ago the elder one was
the younger one, then find their present ages?
three times as old as
2 3
6
, , and .
5 2
7
6)
Find the sum of
7)
Evaluate the expression x3 – 2xy + 2xy2 + 7xy – 8 when x is –2 and y is 3.
8)
The length of a rectangle is 8 inches more than its width. The perimeter is 52 inches. Find the length.
9)
The sum of four consecutive even integers is 28. Find the four integers.
10)
One angle of a triangle measures 35° more than the smallest, while a third angle is five less than three
times the smallest. Find the measure of each angle.
11)
Graph the ordered pairs (–1, 3), (–4, –1), (0, 0), (2, 0), and (4, 1).
12)
Which of the ordered pairs (1, 6), (0, –1), and (1, 0) are the solutions to the equation
y = 7x – 1.
13)
The distance from Earth to the Moon is approximately 239,000 miles. Write the distance in scientific
notation.
(9.6 !10 )(1.2 !10 ) .
Simplify:
3
14)
15)
16)
"2
3.2 !102
7 ⎞
⎛
Multiply: ⎜ a + ⎟ ( a + 2 ) .
9 ⎠
⎝
Solve: 0.125 x + 0.08(x + 3) + 5.65 = 6.915
Form B
2)
Simplify: 72 ⋅ 2 − 92 ⋅ 3.
4)
What number results if 13 is subtracted from the quotient of 42 and 6.
5)
Write the factors of 105.
6)
Solve: 9x – 7 = 11x – 9.
7)
Bryan is four times as old as Jim. In five years, the sum of their ages will be 40. How old are they now?
8)
The sum of three consecutive odd integers is 135. Find the numbers.
10)
Graph the ordered pairs (2, 1), (0, 3), (–1, 2), (4, –3), (–2, –2).
11)
Graph the equation y = –2x – 1.
12)
Let 3x – 5y = 3. Find x if y = 3.
16)
Simplify the expression: (3x3y2)3(4x2y)2(3x2)3.
17)
Simplify: 3x2y – 17x2y + 11x2y.
18)
The length of a rectangular lawn is 6 more than twice the width. Write the expression for the perimeter
of the lawn.
19)
Solve 5x + 2y + 8 = 10 for y.
20)
Solve the equation 5y – 8(9y – 5) = 7.
Form C
1
1
(5 x − 10 ) − (10 x + 20 ) .
5
2
2)
Simplify the expression
3)
Apply the distributive property and then simplify:
4)
Simplify the expression
1
( 2a + 3 ) .
a
62
−3
.
−
( −9 + 3) ⎡⎣3 − ( −2 )⎤⎦ 2 − ( −1)
1 1 1
− + .
2 8 4
5)
Find the value of the expression
6)
Simplify: 3 ( x − 4 y ) + 2(2 x − 8 y) + 4 y .
7)
Solve for x:
10)
In a triangle, one of the angles is twice the smallest angle and the largest is three times the smallest.
Calculate the measure of these angles
13)
Find three ordered pairs that satisfy the equation 2x + 3y = 12.
14)
Graph the equation x + 2y = –4.
19)
Express 0.000125 in scientific notation.
21)
25x 4 y
Simplify:
− x3 .
xy
1
3
2
x+ x = 3+ .
3
6
3
Form D
1)
Write an equivalent expression for the statement “the product of x and 4 is equal to the quotient of y and
2.”
3)
The __________ of 4 is
4)
Solve:
5)
Simplify the expression
6)
Evaluate:
7)
Solve: 3(x + 1) = 4x – 5.
8)
Solve: (–6x – 2)•3 + 1 = (3x – 4)(–2) + 11.
9)
A number is three times another number. The difference between the two numbers is given as 6. Find
the two numbers.
1
.
4
3
(5 x − 50 ) = 0 .
5
3
6
.
÷
a 2a
1 1 1
+ − .
4 6 3
12)
Find three ordered pairs that satisfy the equation 4x + 8y = 16.
15)
Graph the equation 2(x – 1) = 4.
16)
Evaluate: (9x3y2)3(3yx3)4 .
17)
⎛ y 7 ⎞
Simplify: ⎜ 9 ⎟ . y 10 .
⎝ y ⎠
18)
( 7 × 10 )(3 × 10 ) .
Simplify:
(3 × 10 )( 7 × 10 )
19)
Simplify: (7x4 – 5x + 10) + (5x3 + 7x – 10) – (5x3 + 10).
20)
Solve the formula s = ut +
5
8
7
3
12
1 2
at for a.
2
Form E
−8 5 −2
⋅
⋅
12 10 3
3)
Multiply:
5)
Reduce the fraction
6)
Find the value of the expression 4x3 + 12x2 – 9x – 13 when x = 5.
7)
Solve the equation 6y + 3(2 + 9y – 5) + 18y = 297.
10)
Give the coordinates of the numbered point in the figure.
128
.
576
14)
Simplify x13 ⋅ x 25 ⋅ x −5 ⋅ x10 ⋅ x −16 .
16)
⎛ 2
⎞ ⎛ 1
⎞ ⎛ 3
⎞
Evaluate the expression ⎜ x 3 y 2 ⎟ ⎜ x 2 y 4 ⎟ ⎜ x 5 y 5 ⎟ .
⎝ 9
⎠ ⎝ 5
⎠ ⎝ 7
⎠
2
22)
Mr. Smith bought a 26” television set. The length of the set was 14” less than its width. Find the length
and the width of the set.
28)
Let 2x – 3y = –5. If x = 2, then find y.
Form F
1)
The smallest number that is exactly divisible by each denominator in a set of denominators is called the
__________.
2)
Express the number 399 as a product of the prime factors.
3)
Find the perimeter of a rectangle with length
4)
5)
6)
3
6
feet and width
feet .
8
12
1
Apply the distributive property to the expression − (16 x − 200 ) and simplify the result.
2
−6 ( −7 ) − 8 (10 ) + 5 ( 4 )
Simplify:
.
2 ( 3) − 5
Add:
1 2 3
+ + .
8 5 9
7)
Use y = 2x2 – (x– 2)2 + 5x to find the value of y when x = 3.
8)
What percent of 1500 is 180?
9)
Find the value of x in the equation 1.6x + 2.5x + 22.5 = 47.7 + 1.3x.
10)
A number is 50 more than 20 times another number. If the sum of the numbers is 470, then find the
numbers.
13)
Graph the ordered pairs (2, 6), (5, –8), (–7, 3), (–9, –9).
14)
For the equation 6x + 3y = 12, complete the given ordered pairs ( ,3), (1, ), (0, ).
15)
Graph the equation 3x – 2y = 7.
16)
Which of the ordered pairs (2, 10), (1, 4), and (3, 15) are the solutions to the equation y = 5x?
19)
Multiply: 7.6 × 105 8.3 × 10−1 .
20)
Find the value of the polynomial 2x3 – 5x2 + 6x – 3 when x = 5.
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)