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WorksheetsAlgebraic Reasoning Basics Review
Total questions: 47
Worksheet time: 2hrs 47mins
Name
Class
Date
1.
Evaluate the following:
9 - 8 ÷ 22
9 - 8 ÷ 22
a)
1
b)
4
c)
7
d)
8
2.
4⋅7 - 62 + 3
a)
-5
b)
19
c)
487
d)
7
3.
Which is a solution of
5(v + 3) - 10v > -10
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
4.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
5.
Identify the slope and y-intercept of:
y = 1/5x + 5
y = 1/5x + 5
a)
slope: 1/6 y-intercept: 4
b)
slope: 1/5 y-intercept: 5
c)
slope: 5/1 y-intercept: 5
d)
slope: 1 y-intercept: 5
6.
Write in slope intercept form
5x - 3y = -9
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
7.
What is the slope of the equation?
y = -3x + 4
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
8.
y=mx+b is in which form?
a)
Standard form
b)
point-slope form
c)
variable form
d)
slope intercept form
9.
m is the _____________
a)
slope
b)
y-intercept
c)
constant
d)
letter before n
10.
b is the ____________
a)
y-intercept
b)
slope
c)
constant
d)
the secret weapon in fortnite
11.
Write in slope intercept form
5x - 3y = -9
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
12.
What is the slope of the line with the equation y - 5x = 11?
a)
-5
b)
11
c)
5
d)
-11/5
13.
Which of the following has a y-intercept of 3?
a)
y = 3x +2
b)
x=3
c)
y=2x+3
d)
y=x
14.
Convert the standard form equation into slope-intercept form.
x + y = -1
x + y = -1
a)
y = x - 1
b)
y = 27, 239, 430
c)
y = -1x
d)
y = -x - 1
15.
Convert the standard form equation into slope-intercept form.
x - y = 2
x - y = 2
a)
y = -x + 2
b)
y = x - 2
c)
x = 2
d)
y = 27, 239, 430
16.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
17.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
x
18.
a)
m = 1/2
b)
m = 1/3
c)
m = 2
d)
m = (0, 1)
19.
What is the slope of the line through the points (1, 2) and (8, 6)?
a)
7/4
b)
4/7
c)
5/6
d)
6/5
20.
A line with 0 slope looks like...
a)
A horizontal line
b)
A vertical line
c)
A slanted line
d)
A coordinate pair
21.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
22.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
23.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
24.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
25.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
26.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
27.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
28.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
29.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
30.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
31.
Which is an equation for the graphed line?
a)
y = -3/4x - 2
b)
y = 3/4x - 2
c)
y = 4/3x - 2
32.
The table below shows the amount Amanda saved over several months. Mary’s savings, S, is given by the equation S=60m, where m represents the number of months she has saved. Which statement correctly compares Amanda’s and Mary’s monthly savings?
a)
Mary saves $60 more than Amanda every month.
b)
Amanda saves $50 more than Mary every month.
c)
Amanda saves $40 more than Mary every month.
d)
Mary saves $10 more than Amanda every month.
33.
Keith and James cycle a constant distance every day during a training program. The total distance that James cycles during the program is shown in the graph. If James cycles 1 mile more than Keith does each day, which equation represents the total distance, d, in miles that Keith cycles in t days?
a)
d = 1t
b)
d = 4t
c)
d = 5t
d)
d = 6t
34.
The graph below shows the relationship between the number of ounces and the number of calories in steak. Which equation BEST represents this relationship?
a)
x = 80y
b)
y = 80x
c)
x = y + 80
d)
y = x + 80
35.
A plane takes off from an airport and travels at a steady speed of 350 miles per hour. Which of these graphs best represents the distance the plane is from the airport, y, after traveling for x hours?
a)
A
b)
B
c)
C
d)
D
36.
Abby uses the equation y = 0.50x to calculate the amount she will earn selling x cups of lemonade. The table below shows the amount of money Jacob will earn from selling cups of lemonade. Which statement is true?
a)
Abby earns $0.25 more per cup of lemonade than Jacob.
b)
Jacob earns $0.25 more per cup of lemonade than Abby.
c)
Abby and Jacob earn the same amount per cup of lemonade.
37.
Which is the graph of the equation y = -3/2x + 6
a)
A
b)
B
c)
C
d)
D
38.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
39.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
40.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
41.
Will my line be solid?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
42.
a)
y < (x - 2)²
b)
y > (x - 2)²
c)
y ≥ (x + 2)²
d)
y ≤ (x + 2)²
43.
a)
y ≥ -(x + 4)² + 1
b)
y < -(x - 4)² + 1
c)
y ≤ (x - 4)² + 1
d)
y ≤ -(x - 4)² + 1
44.
a)
y > -(x - 4)² + 1
b)
y > -(x - 1)² + 4
c)
y < (x - 4)² + 1
d)
y > (x + 4)² + 1
45.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
46.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
47.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
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