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WorksheetsGA EOG Review - Algebraic Reasoning and Patterning
Total questions: 100
Worksheet time: 3hrs 42mins
Name
Class
Date
1.
A large Italian ice costs $2 more than a medium Italian ice. Which expression represents the cost, in dollars, of 5 large Italian ices if the medium Italian ice costs d dollars?
a)
2(d+5)
b)
2(d-5)
c)
5(d+2)
d)
5(d-2)
2.
A group of friends each paid $9 for their lunch and they had a $5- off coupon. Which expression represents the cost, in dollars, for f friends?
a)
5f-9
b)
5f+9
c)
9f+5
d)
9f-5
3.
Evaluate 7 + 2 x 14 ÷ 4
a)
49
b)
8.75
c)
14
d)
31.5
4.
Simplify 42 - 24 ÷ 3
a)
6
b)
34
c)
36
d)
9
5.
Simplify 18 - 4 x 6 ÷ 2 + 9
a)
15
b)
51
c)
3
d)
30
6.
Evaluate 8² - 2 x 5 + 6 ÷ 2
a)
158
b)
38
c)
9
d)
57
7.
Simplify 15 + 2(13 -3²) + 7
a)
30
b)
1707
c)
217
d)
28
8.
Tell which property is represented: 8 x (3 x 4) = (8 x 3) x 4
a)
Commutative Property
b)
Distributive Property
c)
Associative Property
d)
Identity Property
9.
According to the Distributive Property, the expression x(y - z) equals which of the following?
a)
xy x xz
b)
xy - xz
c)
(x x y) - z
d)
xy - z
10.
Use the Distributive Property to find the product of 5(17)
a)
57
b)
15
c)
40
d)
85
11.
Evaluate 8n - 4 for n = 6
a)
82
b)
52
c)
44
d)
10
12.
Evaluate x² - 3x for x = 6
a)
0
b)
18
c)
-6
d)
24
13.
Evaluate 5x - 3y for x = 8 and y = -4
a)
52
b)
28
c)
24
d)
92
14.
Write "the quotient of a number and 9" as an algebraic expression.
a)
n x 9
b)
n - 9
c)
n ÷ 9
d)
n + 9
15.
Write "the quotient of 234 and a number decreased by 11" as an algebraic expression.
a)
(n - 11) ÷ 234
b)
223n
c)
n ÷ 223
d)
234 ÷ (n - 11)
16.
Combine like terms in the expression 17x - 5x
a)
22x
b)
12x
c)
22
d)
12x²
17.
Combine like terms in the expression 3x - 4y + 6y - x
a)
2x + 2y
b)
3x - 2y
c)
2x + 10y
d)
3x + 10y
18.
Simplify the expression x² - 4 + 8x² - 8 + y
a)
7x² + 12 + y
b)
9x² - 12 - y
c)
9x² - 12 + y
d)
x² + 6 + y
19.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
20.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
21.
The quotient of a number and 8
a)
8g
b)
8/g
c)
g+8
d)
g/8
22.
Three times the sum of 2 and e.
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
23.
The difference of h and 9 divided by 3.
a)
h-9/3
b)
(h-9)/3
c)
(9-h)/3
d)
9-h/3
24.
The product of 7 and j increased by 3.
a)
3+7j
b)
7j-3
c)
7(j+3)
d)
3j+7
25.
Six divided by the product of -7 and b.
a)
6/b-7
b)
6/-7b
c)
-7b/6
d)
b-7/6
26.
Five times Mike's age increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
27.
You traveled 52 miles. Then, your avg rate is 12 mph. What algebraic exp. models the distance?
a)
52+12/h
b)
12/h-52
c)
12h+52
d)
12-52
28.
Which expression shows how many pieces of Laffy Taffy my 4 friends and I each get?
a)
f/4
b)
4f
c)
f/5
d)
5f
29.
If I have more 15 Pokemon cards than Austin, which expression shows how many I have?
a)
x-15
b)
x+15
c)
15x
d)
15/x
30.
Amount you have spent if you buy a shirt for $20 and jeans for x dollars
a)
20-x
b)
20+x
c)
x-20
d)
20x
31.
Choose the phrase that matches the expression 21h
a)
21 more friends than expected at the party
b)
21 more horses in the pasture
c)
21 dollars per hour
d)
21 balloons were popped at the party
32.
Name the coefficient of ⅙h
a)
6
b)
h
c)
⅙
d)
1
33.
What are the variables of 7x+6y-9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
34.
Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.
a)
$1.95+p
b)
$1.95-p
c)
$1.95/p
d)
$1.95p
35.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
36.
Evaluate expression: -5a -b for a= -6 and b= 3
a)
33
b)
30
c)
27
d)
24
37.
Evaluate expression: ½a-5b when a= -12 and b= -3
a)
-21
b)
-9
c)
9
d)
21
38.
What is the value of xy + 2z, when x = -2, y = 4 and z = -5
a)
-2
b)
28
c)
18
d)
-18
39.
Simplify 5(2 - 7n)
a)
52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
40.
Simplify 6(x + -2)
a)
6x² − 2x
b)
6x − 12
c)
6x − 2x
d)
6x - 2
41.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
42.
Simplify the expression: 7+3(1 - 2x) - 10
a)
10x - 2x - 10
b)
7 + 3x - 6x - 10
c)
17 + 3x - 6x
d)
-6x
43.
-12n - (-13n)
a)
-25n
b)
25n
c)
n
d)
-n
44.
6w - 6w + 6w + 9w
a)
w
b)
15w
c)
9w
d)
6w
45.
3 - 2a + 3a + 5a
a)
5a + 3
b)
10a - 3
c)
6a + 3
d)
8a + 3
46.
−x2+2−1+6x2−4x2
a)
x 2 -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
47.
4a + 9 + a
a)
5a + 9
b)
14a
c)
3a + 9
d)
5a - 9
48.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
49.
w + w + w could be simplified as?
a)
3w
b)
3
c)
w
d)
0
50.
Simplify the Expression.
9z - 21 - 3z + 10
9z - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
51.
What is the simplified form of this expression
3x+4+5x+3
3x+4+5x+3
a)
15x
b)
8x+7
c)
7x+8
52.
Simplify:6b + 7b - 10
a)
3b
b)
13b - 10
c)
13b2 - 10
d)
3b2
53.
Simplify:6b + 7b - 10
a)
3b
b)
13b - 10
c)
13b2 - 10
d)
3b2
54.
Add these expressions
(x+5) + (2x+10)
(x+5) + (2x+10)
a)
3x+15
b)
x-5
c)
18x
55.
There are 10 chocolate chip muffins, 12 blueberry muffins, 2 pumpkin muffins, and 8 corn muffins on a tray. Write the ratio of pumpkin to chocolate chip muffins in simplest form.
a)
10 to 12
b)
2 to 8
c)
2 to 10
d)
1 to 5
56.
There are 10 chocolate chip muffins, 12 blueberry muffins, 2 pumpkin muffins, and 8 corn muffins on a tray. Write the ratio of blueberry to corn muffins in simplest form.
a)
8 to 12
b)
12 to 8
c)
2 to 3
d)
3 to 2
57.
There are 10 chocolate chip muffins, 12 blueberry muffins, 2 pumpkin muffins, and 8 corn muffins on a tray. Write the ratio of chocolate chip muffins to total muffins in simplest form.
a)
10 to 32
b)
5 to 16
c)
1 to 3
d)
1 to 2
58.
Write in simplest form: 45 minutes to 2 hours
a)
45 to 2
b)
2 to 45
c)
3 to 8
d)
22.5 to 1
59.
Write in simplest form: 4 years to 8 months
a)
4 to 8
b)
1 to 2
c)
6 to 1
d)
2 to 4
60.
In five games of bowling, Gabe's combined score was 380. What was his average score per game?
a)
76
b)
38
c)
380
d)
190
61.
It took Ciera 24 minutes to drive 18 miles. It took James one hour to drive 46 miles. Who is driving at a faster rate?
a)
Ciera
b)
James
62.
Which is a better buy?
a)
2 lbs of pears for $1.98
b)
5 lbs of pears for $4.60
63.
Which is a better buy?
a)
a pack of 6 pens for $4.74
b)
a pack of 15 pens for $12.19
64.
Is it proportional?
a)
Proportional
b)
Nonproportional
65.
In a cookie recipe, 1 and 2/3 cups of milk are used to make 16 cookies. How many cups of milk are needed to make 24 cookies?
a)
1 and 1/2
b)
2 and 1/2
c)
9 and 3/5
d)
1
66.
On a map with a scale of 0.5 inch = 75 miles, the distance between 2 cities is 2.75 inches. Find the actual distance between the cites.
a)
412.5
b)
206.25
c)
150
d)
137.5
67.
5 gallons to 6 quarts
a)
3 to 5
b)
5 to 3
c)
3 to 10
d)
10 to 3
68.
Grant drove his car for 417 miles on 15 gallons of gas. How many miles per gallon does his car get?
a)
27.8
b)
0.359
c)
6255
d)
28.7
69.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
70.
What is Coordinate L?
a)
(7,6)
b)
(5,2)
c)
(2,5)
d)
(7,7)
71.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
72.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
73.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
74.
Which axis runs horizontally?
a)
x
b)
y
75.
Which axis runs vertically?
a)
x
b)
Y
76.
What letter is located at (4,2)?
a)
A
b)
B
c)
C
d)
D
77.
What is the ordered pair for the letter A?
a)
(2, 4)
b)
(4, 2)
c)
(-2, 4)
d)
(2, -4)
78.
In an ordered pair the first number represents which axis?
a)
x
b)
y
79.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
80.
Which number represents the second number in an ordered pair?
a)
X
b)
Y
c)
T
d)
G
81.
What is meant by the ordered pair (7, 700) ?
a)
In 7 months, I made $700
b)
In 7 months, $700 was raised for the science fair
c)
In 700 months, $7 was made
d)
In 7 months, I made $200
82.
What is meant by the ordered pair (8, 900) ?
a)
In 8 months, I made $900
b)
In 8 months, $900 was raised for the science fair
c)
That is not an ordered pair on this graph
d)
In 7 months, I made $200
83.
Which axis runs vertically?
a)
x
b)
Y
84.
Which axis runs horizontally?
a)
x
b)
y
85.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
86.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
87.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
88.
What is Coordinate L?
a)
(7,6)
b)
(5,2)
c)
(2,5)
d)
(7,7)
89.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
90.
In the ordered pair (7, 8), which number is the x-coordinate?
a)
7
b)
8
c)
neither
d)
both
91.
What letter is located at (4,2)?
a)
A
b)
B
c)
C
d)
D
92.
What is the ordered pair for the letter A?
a)
(2, 4)
b)
(4, 2)
c)
(-2, 4)
d)
(2, -4)
93.
In an ordered pair the first number represents which axis?
a)
x
b)
y
94.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
95.
Which number represents the second number in an ordered pair?
a)
X
b)
Y
c)
T
d)
G
96.
What is meant by the ordered pair (7, 700) ?
a)
In 7 months, I made $700
b)
In 7 months, $700 was raised for the science fair
c)
In 700 months, $7 was made
d)
In 7 months, I made $200
97.
What is meant by the ordered pair (8, 900) ?
a)
In 8 months, I made $900
b)
In 8 months, $900 was raised for the science fair
c)
That is not an ordered pair on this graph
d)
In 7 months, I made $200
98.
What is this graph about?
a)
Time
b)
Distance
c)
Distance over Time
d)
The speed of sloths
99.
How far did this person travel in 60 minutes?
a)
5 feet
b)
50 miles
c)
they never drove 60 minutes
d)
1 mile
100.
After 2.5 hours, how far had this person traveled?
a)
about 120 miles
b)
about 120 mila kunises
c)
about 180 miles
d)
about 100 miles
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