WorksheetsAlgebra Intro
Total questions: 232
Worksheet time: 8hrs 22mins
Write down the coordinates of the point A.
( 2, -4)
( -4 , 2)
( 4, 1)
( 1, 4)
Write down the coordinates of point C.
( 0, 2 )
( 0 , -2 )
( 2, 0 )
( - 2 , 0 )
Write down the coordinates of Point E.
( - 3 , 4 )
( - 3 , - 4 )
( 3 , - 4)
( 3 , 4 )
Which of the following equations are NOT for straight line graphs?
y = mx + c
x = k
y = k
y = x
y = c
Identify the equation of this line.
x = 2
x = - 2
y = 2
y = - 2
Identify the equation of this line.
y = 2
y = - 2
y = x
x = 2
Identify the equation of this line.
x = 4
x = - 4
y = 2x + 4
y = x - 4
What is the equation of this line?
y = k
x = k
y = mx + c
y = x
Identify the y-intercept of the red line.
2
-2
5
There is no y-intercept.
Identify the y-intercept of the green line.
4
-4
5
-5
Which graph represents the table?
Which graph represents the equation y=4x−1
Which graph represents the table?
Which graph represents the table?
y = -3x + 7
What is the general equation when writing linear equations?
Ax + By = C
y = kx
y = mx + b
x = y
What does the m in y = mx + b represent?
y-intercept
slope (growth rate)
y-axis
x-intercept
What is the slope (growth rate) of the equation y = -3x - 9
-9
9
3
-3
Solve the linear equation.
x - 15 = -19
x = 34
x = -34
x = 4
x = -4
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
y = 8x + 50
C = 50m +8
y = 50x + 8
C = 8m + 50
2x = 14
4
6
7
8
12−5(x−7)=2x+12
Solve the equation.
x=5
x=−5
x=561
x=735
12−5(x−7)=2x+12
Solve the equation.
x=5
x=−5
x=561
x=735
−4x=52(−x+10)
What is the value of x ?
x=−109
x=−910
x=109
x=910
8(3x−5)=9x+5
Solve the equation.
x=3
x=−3
x=79
x=32
3x−4x=−67
x=-14
x=12
x=-12
x=14
103x−2−42x+1=3
x=461
x=−461
x=614
x=−614
Which equation has x = 5 as the solution?
x + 15 = 10
2x = 5
2x = 10
3x + 7 = 10
Which of the following is Linear Equation in one variable?
4y+5
4y+5=2
4+5=9
4y+5>2
A linear equation has how many solutions?
0
1
2
More than 2
The shifting of numbers or variables from one side to another side is called
Distribution
Transition
Transposition
Transformation
4(2x - 3) = 6x + 2
Which is the correct translation of the equation 3x + 10 = 55?
Ten more than thrice a number is 55.
A number raised to 3 plus 10 is 55.
Three times a number added to 10 is 55.
Thrice x more than 10 is 55.
Which is equivalent to "Twice a number less than 28 is 3"?
2x - 28 = 3
x2 - 28 = 3
28 - x2 = 3
28 - 2x = 3
The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?
84 , 36
36,72
12,40
20,40
The shifting of a number from one side of an equation to other is _____________.
Transposition
Distributivity
Commutativity
Associativity
Find y if
6y = 39
2
18
3
Solve for x if x+5=9
5
4
15
-14
Find z if 5z =30
4
5
150
6
What is the value of x if x-6=5
11
1
2
30
3(x - 2) = 18
4x + 1 = 7x - 5
6(2x + 1) = 18
8x + 2 + 3x + 5 = x + 12
5 + 3x = 8x - 15
Solve for x:
12 = 20x - 8
1
-2
-1
2
2(a + 4) = 2a - 8 + 4a
solve: 14x = 40 + 9x
4
8
35
45
Solve the linear equation.
x - 15 = -19
x = 34
x = -34
x = 4
x = -4
Solve the linear equation.
-12y = 108
y = -9
y = 120
y = 9
y = -120
Solve the linear equation.
x / 7 = -8
x = -56
x = -15
x = 15
x = 56
Solve the linear equation.
¾ x = 27
x = 20 ¼
x = 36
x = -20 ¼
x = -36
Solve the linear equation.
5z + 2 = 6
z = 8
z = -8
z = 4 / 5
z = 5 / 4
Solve the linear equation.
9x - 9 = 5x + 19
x = 5
x = -7
x = 2
x = 7
Solve the equation:
7x = 21
x = 14
x = 28
x = 3
x = 147
Solve for the value of y:
y - (-3) = 9
y = 12
y = 6
y = 3
y = 9
Solve the linear equation.
x - 15 = -19
x = 34
x = -34
x = 4
x = -4
3x - 4 - 5x = x + 4 + x
The solution of 2x-3=7 is:
5
7
12
11
3. The solution of 2y + 9 = 4 is
9/2
4/9
-⅖
-5/2
Which is a linear equation?
y=4x+2
5
mx
4s
7x - 3x - 8 = 24
3(x - 2) = 18
7x + 19 = -2x + 55
4x + 1 = 7x - 5
10 = 3x -12
5 + 3x = 8x - 15
2x + 5 = 12
4x + 1 = 7x - 5
7 - 2(10x + 1) = 25
Find y if
6y = 39
2
18
3
How should you show your work to isolate the variable and solve the equation?
x + 7 = 28
x - 23 = 17
5x = 30
x/7 = 14
3x + 6 = 21
7x - 9 = 33
3(x - 5)
Solve for x: 2x - 7 = 9
x = 7
x = 8
x = 9
x = 10
7x - 3x - 8 = 24
3(x - 2) = 18
7x + 19 = -2x + 55
6
8
2(2x + 3) = -6(x + 9)
What is the first step in solving for w in the equation 3w + 5 = 14?
Add 5 to both sides of the equal sign
Divide by 3 on both sides of the equal sign
Subtract 5 from both sides of the equal sign
Multiply by 3 on both sides of the equal sign
10 = 3x -12
8x + 2 + 3x + 5 = x + 12
5 + 3x = 8x - 15
4x + 1 = 7x - 5
Find the value of x -
2x +67 =77
5
10
44
3
Which type of expression is this ?
2x +6n+ 4x
Monomial
Binomial
Trinomial
quadrinomial
8x+ (a) = 42
5x + 2x + 3x +6x - 6x
10x
3x
9x
4x
23x + 4 = 50
2
1
4
3
2x =6
3
4
5
6
2(x-3)=
2x-3
2x-5
2x-6
x2-3
3(4x+5) =
7x+5
7x+15
12x+5
12x+15
Solve the equation
2−3x=8
x = -3
x = -2
x = 2
x = 3
Solve the equation
53x−2=−1
x = 37
x = −37
x = 1
x = -1
Solve the equation
−x+2x−4x=6
x = -6
x = -2
x = 2
x = 6
Solve the equation
4m+9=7m−6
m = -1
m = 1
m = 3
m = 5
Solve the equation
3(x−1)=5+x
x = 2
x = 4
x = 5
x = 6
Solve the equation
2(3x−5)+3(x+1)=−16
x=−1
x=0
x=1
x=3
Solve the following equation, x+7=28
x=35
x=4
x=196
x=21
What would be the best first step to solving the equation?
add 3 to both sides
subtract 5 from both sides
add 5 to both sides
subtract -5 from both sides
Solve the formula for t. What is the 1st step?
Multiply each side by t.
Subtract f from each side.
Divide each side by t.
Add s to each side.
d / t = r
x + 5 ≤ 13
≥
-5x>20
x> -4
x> 4
x< -4
x< 4
Solve the following equation,
x + 4 = 25
x = 29
x = 100
x = 5
x = 21
Solve the equation:
x−3=−12
x = 9
x = -15
x = -9
x = 15
Solve the equation:
7x = 21
x = 14
x = 28
x = 3
x = 147
13x = 65
x = 4
x = 5
x = -3
x = 7
(5/3)x = 90
x = 54
x = 150
x = 45
x = 190
Solve 4(3x−1)=20
x=2
x=14
x=3
x=1221
Solve 2(5x−3)=14
x=2
x=1017
x=531
x=54
Solve 3(y+3)−2(y+1)=27
y = 16
y=−16
y=20
y=−16
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
Which equation best represents the relationship between x and y in the table shown?
y= 5x+5
y=1/5x+5
y=15x+5
y=10x+5
Find the initital value
20
0
17
1
What is the initial value?
3
0
2
8
Find the intial value
0
3
4
5
Find the rate of change from the graph
0
undefined
5
-5
Solve the following equations.
x−7=8
x= ?
(a)
Solve the following equations.
x+5=−3
x= ?
(a)
Solve the following equations.
x−7=−8
x= ?
(a)
Solve the following equations.
x−5=−3
x= ?
(a)
Solve the following equations.
11−x=−3
x= ?
(a)
Solve the following equations.
11−x=3
x= ?
(a)
Solve the following equations.
3x−9=0
x= ?
(a)
Solve the following equations.
4x=36
x= ?
(a)
Solve the following equations.
−3x=18
x= ?
(a)
Which is a linear equation?
2x+3y
5x
3x+24
y=2x−10
3(x - 2) = 18
6(2x + 1) = 18
10 = 3x -12
What is the output?
35
15
8
53
What is the output?
19
145
9
8
What is the output?
36
18
9
63
Find the output.
25
52
10
7
Find the output.
(If you can't see the problem, move the cursor over it.)
2
84
12
4
Then value you put into the function machine is called the __input__, and the value that comes out is called the __________.
(a)
y = x2 − 1
Find the output...
9
3
18
2
Find the output...
27
8
26
21
Find the output...
22
21
23
16
Find the input...
7
12
1
-1
Find the input...
21
15
6
22
Find the output...
6
10
16
4
Find the output...
39
38
43
44
Find the input...
21
22
17
16
Find the input...
-3
-6
3
-7
Find the output...
24
10
18
20
Find the output...
44
15
40
48
Find the output...
80
5
24
60
Find the input...
3
48
8
16
Find the input...
1
0
8
16
Find the output...
24
11
5
16
Find the output...
56
15
1
54
Find the output...
5
20
12
8
Find the output...
12
48
22
11
Find the output...
4.5
7
18
11
Find the input...
12
3
8
4
Write down the coordinates of the point A.
( 2, -4)
( -4 , 2)
( 4, 1)
( 1, 4)
Write down the coordinates of point C.
( 0, 2 )
( 0 , -2 )
( 2, 0 )
( - 2 , 0 )
Write down the coordinates of Point E.
( - 3 , 4 )
( - 3 , - 4 )
( 3 , - 4)
( 3 , 4 )
Which of the following equations are NOT for straight line graphs?
y = mx + c
x = k
y = k
y = x
y = c
Identify the equation of this line.
x = 2
x = - 2
y = 2
y = - 2
Identify the equation of this line.
y = 2
y = - 2
y = x
x = 2
Identify the equation of this line.
x = 4
x = - 4
y = 2x + 4
y = x - 4
What is the equation of this line?
y = k
x = k
y = mx + c
y = x
Identify the y-intercept of the red line.
2
-2
5
There is no y-intercept.
Identify the y-intercept of the green line.
4
-4
5
-5
