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WorksheetsPre-Algebra First Trimester Exam Review
Total questions: 168
Worksheet time: 8hrs 17mins
What is the value of -5 + 12?
7
-17
17
-7
What is the value of 9 + (-21)?
-12
30
12
-30
What is the absolute value of -11?
11
-11
1
0
What is the result of -45 ÷ -3?
15
-15
42
-42
What is the value of |-17| - |-24|?
7
-7
41
-41
Find the sum: 4/7 + 1/3. Write your answer in simplest form.
19/21
5/10
7/21
5/21
Write 5 3/7 as an improper fraction.
38/7
37/7
35/7
53/7
Write 9/4 as a mixed number.
2 1/4
2 2/4
2 3/4
2 5/4
Complete the chart: What is 16/25 as a percent?
64%
16%
25%
32%
On average, it takes Xavier 2 1/6 hours to drive to his Mom’s house. After 1 3/4 hours, how many hours does he have left to drive?
5/12 hours
1/2 hour
1 1/12 hours
2 hours
Sam made a slideshow with two songs that play in the background. One is 5 2/6 minutes and the other is 7/10 minutes. If both songs play in full, how long is the show?
6 1/5 minutes
5 17/30 minutes
6 2/10 minutes
5 9/10 minutes
What is the product of 2/9 and 3/5 in simplest form?
6/45
2/15
5/27
1/3
What is the result of dividing 2 2/5 by 1 3/7? Write your answer in simplest form.
1 3/5
1 5/7
1 7/10
2 1/3
Find the product of 4/7 and 8/9 in simplest form.
32/63
12/16
2/9
1/2
What is the quotient of 3/4 divided by 2 1/3 in simplest form?
9/28
3/7
1/2
7/9
It takes Rob 1 7/9 hours to cut the grass. If his son helps him, it takes 5/8 as long. How long does it take Rob and his son to cut the grass?
1 1/2 hours
1 1/8 hours
1 3/4 hours
2 hours
Mrs. Kettler has 3 1/3 pounds of candy to distribute evenly to her four children. How much candy will each child get?
5/6 pounds
7/12 pounds
1 1/3 pounds
3/4 pounds
Rewrite the expression 5·a·b·b·5·c·a·b·5·b using exponents.
5³a²b⁴c
5²a³b³c
5⁴a²b³c
5³a³b²c
Evaluate 4⁹.
256
1024
262144
65536
Evaluate 6²·2⁵.
576
384
192
288
Rewrite x⁻⁶ using positive exponents.
1/x⁶
x⁶
-x⁶
6x
Find the square root of 256.
14
12
16
18
Find the square root of 28, approximated to the nearest tenth.
5.3
5.2
5.4
5.1
Between which two consecutive integers does the square root of 114 lie?
10 and 11
11 and 12
12 and 13
13 and 14
Find the cube root of 8.
2
4
3
8
Find the cube root of 3,375.
15
12
13
18
Find the cube root of -216.
-6
-8
-12
-18
Convert 6.5 × 10⁻⁷ to standard form.
0.00000065
0.0000065
0.000065
0.000000065
Convert 1.5806 × 10⁴ to standard form.
158.06
15806
1580.6
1.5806
Write 0.00675 in scientific notation.
6.75 × 10⁻³
6.75 × 10⁻²
6.75 × 10⁻¹
6.75 × 10⁻⁴
Write 2,780,000 in scientific notation.
2.78 × 10⁵
2.78 × 10⁶
2.78 × 10⁴
2.78 × 10⁷
Is 98.1 × 10² correctly written in scientific notation? If not, correct it.
Yes, it is correct.
No, it should be 9.81 × 10³.
No, it should be 9.81 × 10².
No, it should be 98.1 × 10³.
Is 0.7 × 10⁻⁴ correctly written in scientific notation? If not, correct it.
Yes, it is correct.
No, it should be 7 × 10⁻⁵.
No, it should be 7 × 10⁻⁴.
No, it should be 0.7 × 10⁻⁵.
Rewrite the list of numbers from least to greatest: √5, 2/9, 2%, 2.2 × 10⁻², 11/50, 5⁻¹.
2%, 2.2 × 10⁻², 2/9, 5⁻¹, 11/50, √5
2.2 × 10⁻², 2%, 5⁻¹, 2/9, 11/50, √5
2.2 × 10⁻², 2%, 2/9, 5⁻¹, 11/50, √5
2%, 2.2 × 10⁻², 2/9, 11/50, 5⁻¹, √5
Rewrite the list of numbers from greatest to least: 11/7, 160%, 1.5, 29/50, √2, 1.57 × 10¹.
1.57 × 10¹, 160%, 11/7, 1.5, √2, 29/50
160%, 1.57 × 10¹, 11/7, 1.5, √2, 29/50
1.57 × 10¹, 160%, 1.5, 11/7, √2, 29/50
1.57 × 10¹, 160%, 1.5, √2, 11/7, 29/50
Evaluate the expression: 2(y + 3) - √xz, if x = 2, y = -5, and z = 18.
-6
-10
2
6
Evaluate the expression: 2n² - 4n + 5, if n = -3.
35
31
29
25
Evaluate the expression: |3a| - (5/4)b, if a = -7 and b = 2/15.
21 - 1/30
21 - 1/4
21 - 2/15
21 - 5/4
Evaluate the expression: (10 - 2)² ÷ 4(2) - | -35 |.
-27
-35
27
35
Evaluate the expression: √9 - 2² + 16 · 9.
141
145
139
143
Evaluate the expression: 4 - ∛27 + 7(12 - 2²).
52
54
56
58
Evaluate the expression: (3 + 1) · 10² - 5³ / (1 - 6² + 10).
400
396
404
394
Which property justifies the statement: 5 + (3 + 8) = 5 + (8 + 3)?
Commutative Property of Addition
Associative Property of Multiplication
Distributive Property
Identity Property of Addition
What is the smallest subset of Real Numbers that contains -4?
Rational Numbers
Irrational Numbers
Whole Numbers
Natural Numbers
Translate the expression: "five more than 3 times a number."
3x + 5
5x + 3
x + 8
5x - 3
Simplify the expression: 9 - 6x + 5
14 - 6x
9x - 6 + 5
14x - 6
9 - 6x - 5
Which property justifies the statement: 8 × 1 = 8?
Identity Property of Multiplication
Commutative Property of Multiplication
Distributive Property
Zero Property of Multiplication
What is the smallest subset of Real Numbers that contains π (pi)?
Irrational Numbers
Rational Numbers
Whole Numbers
Integers
Translate the expression: "the quotient of twice a number and 7."
(2x) ÷ 7
2x + 7
7 ÷ 2x
2x × 7
Simplify the expression: 5x - 7 - 3x + 5
2x - 2
8x - 2
2x + 12
8x + 12
Which property justifies the statement: 42 × 0 = 0?
Zero Property of Multiplication
Identity Property of Addition
Commutative Property of Addition
Distributive Property
What is the smallest subset of Real Numbers that contains √130?
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
Translate the expression: "the product of -6 and a number."
-6x
x - 6
-6 + x
6x
Simplify the expression: -7p - 1 - 9p + 5
-16p + 4
-2p + 6
-16p - 6
-2p - 4
Which property justifies the statement: 19 + (-19) = 0?
Inverse Property of Addition
Identity Property of Multiplication
Commutative Property of Multiplication
Distributive Property
What is the smallest subset of Real Numbers that contains 0?
Whole Numbers
Irrational Numbers
Natural Numbers
Integers
Translate the expression: "the sum of a number squared and 14."
x² + 14
14x²
x + 14
(x + 14)²
Simplify the expression: 15h - 6 - 8 + 7h
22h - 14
8h - 14
22h + 1
8h + 1
Which property justifies the statement: 6(8 - 3) = 6 × 8 - 6 × 3?
Distributive Property
Commutative Property of Multiplication
Identity Property of Addition
Inverse Property of Addition
What is the smallest subset of Real Numbers that contains 51/99?
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
Translate the expression: "25 less than one-third of a number."
(1/3)x - 25
25x - 1/3
x/3 + 25
25 - (1/3)x
Simplify the expression: -27 + 8w + 4 - w
7w - 23
8w - 23
7w + 31
8w + 31
Which property justifies the statement: ½(x + 10) = ½x + 5?
Distributive Property
Commutative Property of Addition
Identity Property of Multiplication
Inverse Property of Addition
What is the smallest subset of Real Numbers that contains 5⁻²?
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
Translate the expression: "$18 per pound of steak."
18x
x + 18
18/x
x/18
Simplify the expression: 19a - 6b + b - 6a
13a - 5b
25a - 5b
13a + 5b
25a + 5b
Which property justifies the statement: -7m + 0 = -7m?
Identity Property of Addition
Commutative Property of Addition
Distributive Property
Inverse Property of Addition
What is the smallest subset of Real Numbers that contains 8 × 10⁻⁵?
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
What is the smallest subset of Real Numbers that contains √324?
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
What is the smallest subset of Real Numbers that contains ∛343?
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
What is the smallest subset of Real Numbers that contains -18.2?
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
What is the smallest subset of Real Numbers that contains -1/4?
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
What is the smallest subset of Real Numbers that contains √7?
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
What is the result when you apply the distributive property to the expression 4(x + 4)?
4x + 16
4x + 4
x + 16
4x + 8
Simplify the expression: -8(v - 7)
-8v + 56
-8v - 56
8v - 56
8v + 56
Which of the following is the factored form of 7a + 21?
7(a + 3)
a(7 + 21)
7a + 3
21(a + 7)
Factor the expression 5x - 5.
5(x - 1)
x(5 - 1)
5x - 1
5(x + 1)
Simplify the expression: -4(x + 2) - 3x
-7x - 8
-4x - 2 - 3x
-4x - 8 - 3x
-4x - 8 + 3x
What is the simplified form of 10(v - 2) - v + 4?
9v - 16
10v - 2v + 4
10v - 20 - v + 4
9v - 16 + 4
Simplify the expression: 9a5b2+5a5b2
14a^5b^2
9a5b2+5b2a5
45a7b4
4a5b2
What is the result of multiplying 105 and 104 ?
109
1020
101
106
Given the expression 2(10a - 7b) + 10b - 2a, simplify and then factor the result.
18a + 6b, factored as 6(3a + b)
18a + 6b, factored as 2(9a + 3b)
18a + 6b, factored as 3(6a + 2b)
18a + 6b, factored as 18(a + b)
If you are given the expression 8k - 3(4k - 7) + 27, what is the simplified form?
-4k + 48
4k + 48
8k - 12k + 21 + 27
8k - 12k + 21 - 27
What is the value of (−2)−1 divided by (−2)4 , expressed with positive exponents?
(−2)−5
(−2)3
(−2)5
(−2)51
If you simplify (8^5)^4, what is the result using positive exponents?
89
820
81
812
Which of the following is the correct way to multiply (9×104) and (5×109) using scientific notation?
45×1013
4.5×1014
45×104
9×1013
Strategically, how would you simplify the expression (4m2n3)3⋅2m−6n7 to contain only positive exponents?
Expand the powers, combine like terms, and rewrite with positive exponents.
Add all exponents together and multiply coefficients.
Only multiply the coefficients and ignore the exponents.
Subtract the exponents from each other.
When dividing monomials such as 30k6/−6h−3 , what is the first step to simplify the expression?
Divide the coefficients and subtract the exponents of like bases.
Add the exponents together.
Multiply the coefficients and add the exponents.
Ignore the negative sign and only work with exponents.
Solve for x: x - 5 = 14
x = 19
x = 9
-19
-9
Solve for y: -6 + y = 2
y = 8
y = -8
y = 4
y = -4
Find the sum: (-8 - 2n) + (11n + 4)
9n - 4
13n - 4
9n - 8
13n + 4
Subtract (5 - 2y) from (13y - 29). Write your answer in standard form.
13y - 34 + 2y
15y - 34
11y - 24
8y - 24
Solve for b: b + 4.22 = 7.08
b = 2.86
b = 11.3
b = 3.14
b = 1.86
Solve for x: x - 2/3 = 3/5
x = 19/15
x = 1
x = 5/3
x = 7/15
What is the value of p in the equation 6p - 5 = -17?
-2
2
0
1
What is the value of m in the equation m² = 121?
11 or -11
12 or -12
10 or -10
13 or -13
What is the value of a in the equation a - 19 = -3?
16
-16
22
-22
What is the sum of 2x - 7 and -3x + 4?
(a)
What is the sum of 2x - 7 and -3x + 4?
(a)
-x - 3
-x + 11
5x - 3
-5x - 11
ADD
(x+8)+(x−5)
A
B
C
D
What is the perimeter of the rectangle?
**Perimeter is the SUM of ALL sides!***
x² + 8x - 5
2x² + 16x - 10
2x² + 10x - 8
6x - 2
An airline charges $(20x + 4) for a ticket and $(4x) for a seat upgrade, and $(2x + 1) for premium movies on a flight. Which expression represents the total price you would pay for a seat with an upgrade, and premium movies?
$31x
$24x + 4x + 3x
$24x + 7
$26x + 5
Taylor was asked to help a classmate who was absent with the previous day’s lesson on adding and subtracting polynomials. Her classmate is having trouble with the following problem. Which expression is equivalent to (12p^2 + 8p - 6) - (9p^2 - 2p + 5)?
3p^2 + 6p - 1
3p^2 + 10p - 11
3p^2 + 10p + 11
3p^2 + 6p - 11
(3- 2x + 2x2) - (4x -5 +3x2)
(3x - 4) + (12x + 10)
Simplify: 29u + 4d - 13u + 2u + 7d
18u + 11d
44u + 11d
18u - 3d
31u + 28d
(45x6y9) / (5x4y2)
10a10 / 5a5
(divide)
5a2
5a15
2a15
2a5
Simplify the expression
Simplify (3x3y4)(5x2y)2
(3x4y5)(5xy2)
In the expression shown, x is a value where the expression is defined.
(2x8)(3x−1)2
What is the simplest form of the expression? Write your answer in the form axb .
Which expression is equivalent to (2m4)(5m8)?
(a)
10m12
Simplify
(2a2b4z)(6a3b2z5)
(5x4y3)⋅(−3x2y2)
(x3y3)⋅(−7xy4)
(8x2y7z−3)(3xy2z5)
Find the value of a: 12 = 4a
48
3
8
3x = 27.
Find the value of a: 12 = 4a
48
3
8
c - 5 = 8
3
13
5
8
21 = 14 + x
x = 7
x = 35
x = 294
x = 1.5
Find the value of the variable: m + 4 = 12
16
8
48
3
7 + g = 11
g = 4
g = -4
g = 18
g = -18
-5x = 25
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
4p = 16
18 + a = -50
a = -950
a = -68
a = -32
a = -50/19
-16+ x= -15
1st Step:
Add 15
Subtract 15
Add 16
Subtract 16
How should you show your work to isolate the variable and solve the equation?
53x=15 Solve for x:
35
75
25
31
−3.6+x=13.2
16.8
-9.3
-16.8
9.3
11 - 3x = 44
Solve for x. Round to the nearest hundredth if necessary.
2.2x + 8.45 = 15.05
x = 3
x = 1.52
x = 2.04
x = 4.4
Translate this sentence: Four less than six times a number is 14.
4<6x=14
4−6x=14
6x−4=14
6(x−4)=14
2x + 3x + 4 = 44
−15=−4t+5
-5
2
5
-2
-6w + 1 = -11
11 - 3x = 44
What is the first step to solving the equation
4x + 30 = 110 ?add 30 to both sides
subtract 30 from both sides
multiply both sides by 30
divide both sides by 30
What is the FIRST step in solving this equation?
subtract 3 from each side
add three to each side
subtract 2 from each side
add 2 to each side
3x+2 = −25
x = −8
x = −9
x = 9
x = 24
225 = 27x - 18?
