WorksheetsAlgebra 1 Review!
Total questions: 60
Worksheet time: 4hrs 49mins
Name
Class
Date
1.
At a farmer’s market the total cost of 3 pounds of red apples and 4 pounds of green apples is $8, including tax. The total cost of 6 pounds of red apples and 1 pound of green apples is $6.20, including tax. What is the price per pound of the green apples?
a)
$1.40
b)
$0.80
c)
$3.00
d)
$2.20
2.
Which of the following graphs best represents the solution to the system of linear equations shown below?
a)
A
b)
B
c)
C
d)
D
3.
Which of the following is the solution for this system of linear equations?
a)
No Solution
b)
( -3, 4 )
c)
( 1, -2 )
d)
( 2, 1 )
4.
Some of the values for two linear equations are shown in the tables below.
a)
( -2, 4 )
b)
( -2, -4 )
c)
( -6, 10 )
d)
(10, 2 )
5.
Keshia has a jar containing 52 pennies and dimes. The total value of these coins is less than $1.60. What is the maximum number of dimes that meets these conditions?
a)
41
b)
11
c)
40
d)
12
6.
Which graph best represents the solution set of
−4x ≤ 6y − 54?
a)
A
b)
B
c)
C
d)
D
7.
What is the solution set for −4x + 10 ≥ 5x + 55?
a)
F
b)
G
c)
H
d)
J
8.
Which graph best represents the solution set of
y≤ - 4x ?
a)
A
b)
B
c)
C
d)
D
9.
What is the solution for the inequality
8 - 4x < 20
8 - 4x < 20
a)
x < -3
b)
x > -3
c)
x < 3
d)
x > 3
10.
Solve for x
32 - x = -3(x - 4)
32 - x = -3(x - 4)
a)
x = -10
b)
x = -16
c)
x = -18
d)
x = -22
11.
Simplify the following expression
(5x + 20) ÷ 5
(5x + 20) ÷ 5
a)
x + 4
b)
x + 20
c)
5x + 4
d)
5x + 20
12.
Which of the following is equivalent to
6x + 2y = 28
6x + 2y = 28
a)
y = 3x + 14
b)
y = -3x + 14
c)
y = 3x - 14
d)
y = -3x - 14
13.
Ms. Schuster uses the formula
.5(x - 200) + 40 to calculate her phone bill. Which statement describes the cost of her phone bill?
.5(x - 200) + 40 to calculate her phone bill. Which statement describes the cost of her phone bill?
a)
She is charged a base fee of $200
b)
She is charged $0.50 per text after 200 texts
c)
She is charged $0.50 per
d)
She pays a flat fee of $45
14.
Simplify the following expression
7 - (x + 5) + 2(x - 9)
7 - (x + 5) + 2(x - 9)
a)
x-16
b)
2x - 6
c)
x + 3
d)
-5x - 53
15.
Write an algebraic expression for the phrase:
The product of g and 4
The product of g and 4
a)
4g
b)
g+4
c)
g/4
d)
g - 4
16.
Evaluate the expression (ab)² for a = 4 and b = 3
a)
36
b)
24
c)
81
d)
144
17.
Simplify the expression
(k²)⁴
(k²)⁴
a)
k⁶
b)
2k⁸
c)
k⁸
d)
k¹⁶
18.
Write the number in standard notation
9x10⁴
9x10⁴
a)
9,000
b)
90⁴
c)
90,000
d)
360
19.
What is the slope of the line that passes through (-4, -9) and (0,5)?
a)
-7/2
b)
2/7
c)
-2/7
d)
7/2
20.
What is the value of
-|6²| ?
-|6²| ?
a)
-36
b)
-8
c)
-12
d)
-3
21.
What is the solution to this system of equations?
y = 2x - 10
y = 10 - 2x
y = 2x - 10
y = 10 - 2x
a)
(5, 0)
b)
(1, -8)
c)
(0, 0)
d)
(2, 6)
22.
What is the slope of the line pictured?
a)
5/3
b)
3/5
c)
-3/5
d)
-5/3
23.
Which inequality is represented by the number line shown?
a)
x < 0
b)
x > 0
c)
x ≤ 0
d)
x ≥ 0
24.
Which inequality is represented by the number line shown?
a)
n > -12
b)
n < -12
c)
n ≥ -12
d)
n ≤ -12
25.
Which number does
(7+1)² - 16 ÷ 2 + 6 ÷ 3 equal?
(7+1)² - 16 ÷ 2 + 6 ÷ 3 equal?
a)
62/3
b)
23/3
c)
10
d)
58
26.
Which inequality is pictured?
a)
y < -4
b)
y > -4
c)
x < -4
d)
x > -4
27.
What is the slope between the two points?
(2, 8); (3, 12)
(2, 8); (3, 12)
a)
0
b)
-1
c)
undefined
d)
4
28.
What is the slope of this line?
a)
Undefined
b)
Negative
c)
Positive
d)
Zero
29.
What is the correct value that represents the line of best fit for the data?
y = ____x + 6
y = ____x + 6
a)
1.8
b)
-0.5
c)
0.5
d)
-1.8
30.
Simplify: 6w - 6w + 6w + 9w
a)
w
b)
15w
c)
9w
d)
6w
31.
Solve the equation y/4 = -10
a)
-2.5
b)
-14
c)
40
d)
-40
32.
What is the y-intercept of the line pictured?
a)
(3,0)
b)
(0,5)
c)
(0,3)
d)
(5,0)
33.
What is the slope of the line pictured?
a)
5/3
b)
3/5
c)
-3/5
d)
-5/3
34.
Is this a function or not a function?
a)
Function
b)
Not a Function
35.
What is the x- intercept of the line?
a)
x = 1
b)
x = 2
c)
x = -1
d)
x = -2
36.
Give the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
37.
Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
38.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
39.
a)
Function
b)
Not a Function
40.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
41.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
42.
| -5 + 7| =
a)
2
b)
-2
c)
5
d)
7
43.
Evaluate the expression.
|–5| + 8
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
44.
A grading machine can grade 48 multiple-choice tests in 1 minute. How log will it take the machine to grade 300 tests?
a)
6 minutes
b)
6.25 minutes
c)
5.25 minutes
d)
5 minutes
45.
What is the vertex of this quadratic equation?
y = 2(x - 2)2 + 5
y = 2(x - 2)2 + 5
a)
(-2,5)
b)
(2,5)
c)
(5,-2)
d)
(-5,-2)
46.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
47.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
48.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
49.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
50.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
51.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
52.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
53.
How many sophomores like burritos and pizza?
a)
6
b)
5
c)
11
d)
50
54.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
55.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
56.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
57.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
58.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
59.
.
a)
Function
b)
Not a Function
60.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
100 %
