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WorksheetsAlgebra 1 Review
Total questions: 100
Worksheet time: 6hrs 25mins
Name
Class
Date
1.
Jill has 8 cups of water. How many ounces of water does Jill have?
a)
8
b)
35
c)
56
d)
64
2.
How many inches are in a foot?
a)
36 inches
b)
12 inches
c)
1 foot
3.
Which customary unit of length is the largest?
a)
Inches
b)
Feet
c)
Yards
d)
Miles
4.
Which of the following is NOT an appropriate unit to measure the capacity of a soup bowl?
a)
gallon
b)
cup
c)
pint
d)
fluid ounces
5.
Liz and Alina each participate in the high jump at the track meet. Liz's high jump was 1 meter. Alina's high jump was 132 cm. Who jumped higher? How much higher?
a)
Liz; 42 cm
b)
Alina; 32 cm
c)
Liz; 32 cm
d)
Alina; 42 cm
6.
5 miles = _____ yards
a)
9,100
b)
21
c)
50
d)
8,800
7.
48 quarts = _____ gallons
a)
12
b)
36
c)
400
d)
88
8.
Order the following units from smallest to largest.
miles, feet, inches, yards
miles, feet, inches, yards
a)
feet, inches, yards, miles
b)
miles, yards, feet, inches
c)
inches, feet, yards, miles
d)
yard, feet, inches, miles
9.
5, 280 ft = ___ mi
a)
3
b)
1
c)
1.5
d)
2
10.
Marcia orders 12 yards of material to make banners. If she needs 1ft of fabric to make each banner, how many can she make?
a)
36
b)
12
c)
144
d)
72
11.
Which is a better estimate of the weight of a dog?
a)
20 pounds
b)
20 tons
12.
What is the better estimate of the capacity of a big carton of milk?
a)
57 gallons
b)
half gallon
13.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
14.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
15.
Which equation represents slope intercept form?
a)
y=5+2x
b)
5y=x+5
c)
y=2x+5
d)
4y+2x=8
16.
What is the y-intercept in the following equation: y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
17.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
18.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
19.
8x + y = 9 Slope-intercept form:
a)
y = 8x + 9
b)
y = −1/8x + 9
c)
y = −8x +1/ 9
d)
y = −8x + 9
20.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
21.
In simplest radical form,
2√50 is equivalent to
2√50 is equivalent to
a)
5√2
b)
7√2
c)
10√2
d)
4√5
22.
In simplest radical form, -5√75 is equivalent to:
a)
5√3
b)
-15√5
c)
√3
d)
-25√3
23.
Simplify √121v
a)
11v
b)
11√v
c)
11v√v
d)
√11v
24.
Simplify √28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
25.
Simplify √36n4
a)
6n
b)
6n⁴
c)
6n²√2
d)
6n²
26.
Simplify √45x⁴y⁷
a)
3x²y³√5
b)
9x²y³√5y
c)
3x²y³√5y
d)
3x⁴y⁷
27.
√144
a)
2
b)
12
c)
16
d)
15
28.
√1
a)
4
b)
1
c)
6
d)
no solution
29.
√25
a)
4
b)
6
c)
5
d)
7
30.
Given the following radical, decide if it is rational or irrational:
√16
√16
a)
Rational
b)
Irrational
31.
Given the following radical, decide if it is rational or irrational:
√8
√8
a)
Rational
b)
Irrational
32.
In simplest radical form,
2√50 is equivalent to
2√50 is equivalent to
a)
5√2
b)
7√2
c)
10√2
d)
4√5
33.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
34.
Simplify
2√27+3√3
2√27+3√3
a)
15√30
b)
5√3
c)
9√3
d)
9√8
35.
Simplify
√3(4n+√10)
√3(4n+√10)
a)
8n√3+8
b)
8n√3+15
c)
4n√3+√30
d)
7n√3+√9
36.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
37.
Simplify
√45n3
√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
38.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
39.
Simplify 2√3+5√7-3√7+6√3
a)
8√3+2√7
b)
10√10
c)
11√3-√7
d)
12√3-15√7
40.
Simplify √r7
a)
r√r5
b)
r2√r3
c)
r3√r
d)
√r7
41.
Simplify:
6√2 ⋅5√14
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
42.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
63x2
b)
-16x2
c)
-16x
d)
-15x
43.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
44.
6x + 2x + 1 + 4
a)
8x + 5
b)
2x - 3
c)
4x - 2
d)
8x + 12
45.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
46.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
0.46529503854258
47.
A perfect square is which type of number?
a)
Rational
b)
Irrational
48.
√225
a)
15
b)
Between 15 and 16
c)
112.5
d)
Irrational
49.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
50.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
51.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
52.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
53.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
54.
(4x+3)(x3+8)
a)
4x4+32x+3x3+24
b)
5x4+28+32x
c)
12x+8x3
d)
5x3+12x+3x3+11
55.
(3r-4)(7r-5)
a)
21r2-43r+20
b)
21r+43r2+9
c)
7r+12r
d)
r+2r
56.
(2x+6)(2x-6)
a)
4x2+24x-36
b)
6x+12
c)
4x2-36
d)
2x+6+2x-6
57.
Find the sum.
(5x2 -3x + 4) + (6x -3x2 - 3)
(5x2 -3x + 4) + (6x -3x2 - 3)
a)
3x2 + 2x + 1
b)
2x2 + 3x +1
c)
2x2 + 5x - 7
d)
3x2 + 4x5 -7x
58.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
59.
Find the product.
(x + 7)2
(x + 7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
60.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
61.
Simplify:
a)
9n3 + 4n
b)
7n3 + 6
c)
-3n3 + 2
d)
7n6 + 6
62.
Simplify:
a)
6x2 - 20x + 6
b)
6x - 5
c)
-14x +6
d)
6x2 - 11x - 6
63.
Simplify:
a)
r2 - 3r -2
b)
r2 - 3
c)
-2r -2
d)
r2 - 2r -3
64.
Simplify:
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
65.
(2x+3)2
a)
2x+3+2x+3
b)
4x2+12x+9
c)
4x2+9
d)
16x2+9
66.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
67.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
68.
Find the product:
(y - 3)(y + 7)
(y - 3)(y + 7)
a)
y2 - 21
b)
y2 + 10x - 21
c)
y2 + 4y - 21
d)
2y - 10
69.
Find the product:
(n - 5)(n - 1)
(n - 5)(n - 1)
a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n2 + 5
d)
n2 + 6n + 5
70.
Multiply:
(r + 7)(r − 7)
(r + 7)(r − 7)
a)
r 2 − 49
b)
r 2 + 14
c)
r 2 − 7r + 49
71.
Simplify
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
a)
p 2 − 16p − 64
b)
p 2 + 16p + 64
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64
72.
Simplify:
(x-7)2
(x-7)2
a)
x2-49
b)
x2+49
c)
x2-14x+49
d)
x2-14x-49
73.
Multiply:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
74.
Find the product:
(x + 12)(x - 12)
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
75.
Simplify
(n2-5)(n2-5)
(n2-5)(n2-5)
a)
n4-10n2-25
b)
n4-5n2-25
c)
2n4-10n2+25
d)
n4-10n2+25
76.
Simplify:
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
77.
Simplify:
x2(2x+3)
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
78.
Simplify:
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
79.
Twenty six more than the product of a number and seventeen is -42.
a)
26(17x) = -42
b)
26 + 17x = -42
80.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
81.
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
82.
-10z = 40
a)
z = 50
b)
z = 30
c)
z = -4
d)
z = 4
83.
c/2 = -14
a)
c = -7
b)
c = -7
c)
c = -28
d)
c = 28
84.
a - 27 = 41
a)
a = 68
b)
a = -41/27
c)
a = -1107
d)
a = 14
85.
0 = 4g
a)
g = 4
b)
g = 1
c)
g = -4
d)
g = 0
86.
Solve: 4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
87.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
88.
4 + k/2 = -3
a)
14
b)
-14
c)
4
d)
-2
89.
3/4(6x + 2) = 15
a)
3
b)
6
c)
18
d)
20
90.
**
a)
8
b)
-7
c)
-8
d)
4
91.
Which equation has a solution of 24?
a)
-48 + 12 + x = -12
b)
-14 + 12 + x = -12
c)
-31x - 41x = -48
d)
-46x + 48x = 12
92.
Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
a)
The student found an incorrect common denominator
b)
The student did not multiply all terms by the common denominator
c)
The student did not use opposite operations appropriately
d)
The student did not correctly eliminate the variable from one side of the equation
93.
Solve:
2 + 6x = x - 1
2 + 6x = x - 1
a)
x = 12
b)
x = - 3/5
c)
x = 1/7
d)
x = - 7
94.
a)
8
b)
-7
c)
-8
d)
4
95.
Solve:
2x + 3(5x - 7) = 47
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
96.
Solve:
-4(v + 1) = 5(v + 1)
-4(v + 1) = 5(v + 1)
a)
4
b)
-1
c)
2
d)
5
97.
Solve:
2(6b + 1)=4(b-5)-2
2(6b + 1)=4(b-5)-2
a)
b = - 2.75
b)
b = -7/8
c)
b = 3
d)
b = -3
98.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2
3x - 7 = 3(x - 3) + 2
a)
one
b)
no solutions
c)
infinite solutions
99.
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
100.
There were 120 people at the meeting last week, and 20% of the people voted yes to pass the law. How many people voted yes?
a)
24
b)
48
c)
37
d)
42
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