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WorksheetsDCMS: Algebra 1 EOC Review #2
Total questions: 60
Worksheet time: 1hrs 16mins
Name
Class
Date
1.
x2 * x2 * x2 * x2
a)
2 * 2 * 2 * 2
b)
x16
c)
x8
d)
2(x * x * x * x)
2.
(x6)3
a)
x9
b)
x2
c)
x6
d)
x18
3.
(4x3)2
a)
8x5
b)
8x6
c)
16x5
d)
16x6
4.
(3x4)(4x2)
a)
7x6
b)
12x6
c)
7x8
d)
12x8
5.
(3*3*3)(2*2*2)
a)
53
b)
33 * 22
c)
3232
d)
33 * 23
6.
(x5y3)4
a)
x9y7
b)
x9y12
c)
x20y12
d)
x20y7
7.
(5x2y2)3
a)
125x6y6
b)
15x6y6
c)
8x5y5
d)
15x5y5
8.
√75x²
a)
5x²√3
b)
5x
c)
5x√3x
d)
5x√3
9.
√45x⁴y⁷
a)
3x²y³√5
b)
9x²y³√5y
c)
3x²y³√5y
d)
3x⁴y⁷
10.
2√18a6b2
a)
3a³b√2
b)
6a³b²√2
c)
6a³b√2
d)
2a³b√2
11.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
12.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
13.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
14.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
15.
√28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
16.
Simplify: √31
a)
3√1
b)
already simplified
c)
1√3
d)
15√2 + 1
17.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
18.
What is the y-intercept in the equation?
y = 5x - 4
a)
(0,5)
b)
(0,-4)
c)
(-4,0)
d)
(5,0)
19.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
20.
What is the y-intercept for the given graph?
a)
(0,-5)
b)
(0,5)
c)
(0,1)
d)
(0,-1)
21.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
22.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
23.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
24.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
25.
a)
Function
b)
Not a Function
26.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
27.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
28.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
29.
Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
a)
20x + 15 = y
b)
35x = y
c)
15x + 20y = 150
d)
150 - 20x = 15y
30.
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?
a)
S + A = 530
3S + 4A = 1740
3S + 4A = 1740
b)
S + A = 530
4S + 3A = 1740
4S + 3A = 1740
c)
S + A = 1740
3S + 4A = 530
3S + 4A = 530
d)
S + A = 1740
4S + 3A = 530
4S + 3A = 530
31.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. Player one rushed for 4 times as many yards as player two. How many yards did each player rush for?
a)
Player one 1240 yards, Player two 310
b)
Player one 310 yards, Player two 1240
c)
Player one 1000 yards, Player two 550
d)
Player one 550 yards, Player two 1000
32.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
33.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
a)
10c + 5d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
5c + 10d = 16.50
34.
Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
a)
x - y = -10
x + y = -2
x + y = -2
b)
x = -2
y = 5
y = 5
c)
x + y = -2
x - y = -10
x - y = -10
d)
x + y = -10
x - y = -2
x - y = -2
35.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
36.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
37.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
38.
Is this exponential growth or decay?
a)
Growth
b)
Decay
39.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
40.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
41.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
42.
Which variable represents time passed in the function y=abx?
a)
y
b)
a
c)
b
d)
x
43.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
44.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
45.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
46.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
47.
Create a Perfect Square Trinomial
x2 + 6x + ____
x2 + 6x + ____
a)
6
b)
-6
c)
9
d)
-9
48.
Create a Perfect Square Trinomial
x2 + 22x + ____
x2 + 22x + ____
a)
11
b)
- 11
c)
121
d)
-121
49.
Create a Perfect Square Trinomial
x2 + 18x + ____
x2 + 18x + ____
a)
81
b)
-18
c)
9
d)
-9
50.
Complete the Square and solve the equation.
a2 - 2a - 35 = 0
a2 - 2a - 35 = 0
a)
1 ± √ 6
b)
-7, 7
c)
-5, 7
d)
35, 37
51.
What is this?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
52.
a)
√3
b)
±√3
c)
-3
d)
No real solution
53.
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
54.
a)
±1.5
b)
1.5
c)
±1
d)
No real solution
55.
Convert x2-6x+9 to factored form and identify the solution.
a)
(x-3)(x-3); x=3
b)
(x+3)(x+3); x=-3
c)
(x+4)(x+2); x=-4, -2
d)
Not factorable
56.
Solve 4x2 + 12x + 11 = 0
a)
-2.2 or -0.8
b)
-2 or -1
c)
2 or 1
d)
No Solution
57.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
58.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
59.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
60.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
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