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WorksheetsAlgebra 1 EOC Review #3
Total questions: 62
Worksheet time: 3hrs 9mins
Name
Class
Date
1.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
2.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
3.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
4.
Find the slope:
y = 2x - 10
y = 2x - 10
a)
1/2
b)
2
c)
5
d)
-10
5.
What is the y-intercept?
y = 6x - 4
y = 6x - 4
a)
6/1
b)
1/6
c)
-4
d)
4
6.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
7.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
8.
(x6)3
a)
x9
b)
x2
c)
x6
d)
x18
9.
(4x3)2
a)
8x5
b)
8x6
c)
16x5
d)
16x6
10.
(3x4)(4x2)
a)
7x6
b)
12x6
c)
7x8
d)
12x8
11.
(-6xy3)(x4y2)
a)
-6x5y5
b)
-6x4y5
c)
6x5y5
d)
6x4y6
12.
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
13.
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
14.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
15.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
16.
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
17.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
18.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
19.
How would you write 0.0005 in scientific notation?
a)
50 x 10-5
b)
5 x 10-4
c)
5 x 103
d)
.5 x 103
20.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
21.
Scientific Notation is made up of two number parts. The second part is a power 10.
a)
True
b)
False
22.
How do you write
8.317 x 106
in standard form?
a)
8,371,000
b)
83,170,000
c)
837,100
d)
8,317,000
23.
Express the following in scientific notation:
.000457
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
24.
1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.
a)
5q + 2z = 1.32
1z = 0.75
1z = 0.75
b)
5q + 2z = 1.32
3q + 1z = 0.75
3q + 1z = 0.75
c)
q + z = 1.32
q + z = 0.75
q + z = 0.75
d)
5q + 2z = 0.75
3q + 1z = 1.32
3q + 1z = 1.32
25.
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
26.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a)
x + y = 1550
y = 4x
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
27.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
28.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
29.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
30.
Solve for x and y
2x − 3y = −1
y = x − 1
2x − 3y = −1
y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
31.
Solve:
y = 2x -11
-3y = -6x -15
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
32.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
33.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
34.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
35.
Solve the system of equations:
y=2x
x + y = 9
y=2x
x + y = 9
a)
(6, 3)
b)
(3, 6)
c)
(-3, -6)
d)
no solution
36.
Which inequality is graphed on the given coordinate plane?
a)
y > x + 1
b)
y < x + 1
c)
y ≥ -x + 1
d)
y ≤ -x + 1
37.
Which inequality is graphed on the given coordinate plane?
a)
y < 2x +2
b)
y > 1/2x - 2
c)
y ≥ - 2x +2
d)
y ≥ 2x - 2
38.
This graph represents the inequality y < 3, TRUE or FALSE?
a)
TRUE
b)
FALSE
39.
The given graph represents the inequality x < -1, TRUE or FALSE?
a)
TRUE
b)
FALSE
40.
Which ordered pair(s) is a solution to the given system?
a)
(5,0)
b)
(1,-3)
c)
(3,3)
d)
(2,1)
41.
Rewrite this inequality in "y=" form to graph.
3x - 6y > 12
3x - 6y > 12
a)
y > 1/2x - 2
b)
y < -1/2x + 2
c)
y < 1/2x - 2
d)
y > -3x - 2
42.
Which system of inequality is shown?
a)
y > -1/5x - 1/2 and y ≥ -2x - 4
b)
y > -1/5x - 1/2 and y ≤ -2x - 4
c)
y ≥ -1/5x - 1/2 and y ≤ -2x - 4
d)
y < -1/5x - 1/2 and y ≥ -2x - 4
43.
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.
44.
a)
√3
b)
±√3
c)
-3
d)
No real solution
45.
a)
±81
b)
±9
c)
±3
d)
No real solution
46.
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
47.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
48.
a)
±1.5
b)
1.5
c)
±1
d)
No real solution
49.
If the graph of a quadratic does not intercept the x axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
50.
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
51.
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
52.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
53.
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
54.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
55.
Complete the square for
x2 - 12x + ____
a)
144
b)
36
c)
- 36
d)
24
56.
Complete the square.
x2 + 6x + ____
a)
9
b)
12
c)
36
d)
- 9
57.
Complete the Square
x2 - 10x + ____
a)
x2 + 10x - 100
b)
x2 - 10x + 100
c)
x2 + 10x - 25
d)
x2 - 10x + 25
58.
Given the perfect square trinomial, identify the equivalent expression
x2+14x+49
a)
(x+14)2
b)
(x+49)2
c)
(x-7)2
d)
(x+7)2
59.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
60.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
61.
What is the equation of the line in point slope form given a slope of ⅔ and the point ( -4, 7)
a)
y - ⅔ = -4( x - 7)
b)
y +7 = ⅔(x - 4)
c)
y - 7 = ⅔(x + 4)
d)
y +7 = ⅔(x - 4)
62.
Given y + 6 = 10( x - 9) , what is the point used to write this equation?
a)
(10, 9)
b)
(6, -9)
c)
(-6, 9)
d)
(9, -6)
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