Worksheetsreview of algebra 1
Total questions: 17
Worksheet time: 2hrs 32mins
Name
Class
Date
1.
Meg's teacher asked her to find the zero(s) of the equation below. Meg decided to factor to find the zero(s).
0= x2-4x +4
(x + ___) (x + ___)
0= x2-4x +4
(x + ___) (x + ___)
a)
(x + -2)(x + 2)
b)
(x + -4)(x + 2)
c)
(x + -4)(x + 4)
d)
(x + -2)(x + -2)
2.
April wants to prove that she can solve the system of equations below using the substitution method.
3x + y = 8
y = 4x - 6
Which equation shows the first step in solving the system of equations using the substitution method?
3x + y = 8
y = 4x - 6
Which equation shows the first step in solving the system of equations using the substitution method?
a)
7x + 2y = 2
b)
-x +2y = 2
c)
3x + (4x-6) = 8
d)
3(4x-6) +y = 8
3.
Emily makes $10 per hour at her job. Her paycheck was $370. If h represented the number of hours Emily worked, which equation below represents Emily's paycheck?
a)
h =10/370
b)
370h = 10
c)
370 (10) = h
d)
10h = 370
4.
Simplify
a)
9
b)
5√2 + 2
c)
10√2
d)
2√2 + 3√30
5.
Solve the equation
4(2x-5)=7(2x+4)
4(2x-5)=7(2x+4)
a)
8
b)
-8
c)
-1.5
d)
1.5
6.
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
7.
A coffee shop sells donuts for $2 and muffins for $3. On a very cold morning, the shop sold 10 more donuts than muffins and made $250. Which system of equations could be used to find the number of donuts, d, and muffins, m, that the shop sold that day?
a)
A
b)
B
c)
C
d)
D
8.
What is the solution set for −4x + 10 ≥ 5x + 55?
a)
F
b)
G
c)
H
d)
J
9.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
10.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
11.
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 2
d)
a < 2
12.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
13.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
14.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y < 3
15.
Simplify.
2x2 + (4x - 6x2) + 9 - (6x + 3)
2x2 + (4x - 6x2) + 9 - (6x + 3)
a)
-4x2 - 2x + 12
b)
4x2 + 2x - 6
c)
-4x2 - 2x + 6
d)
-4x2 + 10x + 12
16.
Simplify. (x) (x5y) (y3)
a)
x5y3
b)
x6y4
c)
x6y3
d)
x5y4
17.
Based on the graph, what is the width in feet of the porch with the greatest area?
a)
175 ft
b)
50 ft
c)
25 ft
d)
350 ft
100 %
