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Worksheets5th Six Weeks Exam Review
Total questions: 159
Worksheet time: 3hrs 17mins
What are the two basic rules for solving algebraic equations?
Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign
Negative signs can be ignored
Always start on the left side, regardless of where the variable is
Always do the opposite operation
True or False?
The solution to the equation 4y - 9 = -36 is y = -4.
True
False
Solve: 3w = 30
6
9
10
12
-11 + 3(b + 5) = 7
4.5w = 22.5
w = 101.25
w = 3
w = 5
w = 18
What is a Variable?
A letter with an unknown value or amount.
The sound I make when solving algebra.
The answer in an algebraic expression
What operation would you use to solve the following equation?
9x = 153
addition
subtraction
multiplication
division
Solve the equation: 3x - 7 = 32
x = 13
x = 12
x = -13
x = -12
Solve for T.
T + 14 = 63
T = 49
T = 39
T = 77
Solve: 9 + k = 18
18
9
8
7
Solve: a - 5 = 9
14
9
5
4
What is the difference between an algebraic expression and an equation?
Algebraic expressions do not have variables, but equations do have variables
Expressions and equations are not different
Expressions do not have an equal sign and equations need to have an equal sign
Expressions need to have an equal sign and equations do not have an equal sign
12p = 72
p = 864
p = 60
p = 6
p = 84
Which equation has a solution of x = -5?
x + 15 = 10
-2x = -10
2x = -10
25 - x = 15
What operation would you use to solve the following equation?
75 = p - 25
addition
subtraction
multiplication
division
Solve: x + 12 = 20
32
18
8
42
n + 3.5 = 6.7
n = 3.2
n = 10.2
Solve the equation: 3c + 5 = 23
c = 3
c = 7
c = 6
c = 18
Solve: 10 = t - 8
2
4
18
20
Solve: 11p = 121
11
12
110
456
Solve: 13 = t + 7
5
6
7
20
Solve: 10x = 90
80
100
10
9
What is the goal when solving algebraic equations?
to get the answer
to isolate the variable (get the variable by itself)
to get rid of the equal sign
to divide
Solve for X.
45 = X - 12
X = 34
X = 12
X = 57
True or False?
The solution to the equation 33 = 4a - 7 is a = 10.
True
False
15 = m - 5
k/4 = 8
k = 2
k = 32
k = 24
k = 8
Solve: 4 + b = 30
16
15
34
26
Which of the following are examples of a TERM?
-3x
14
(8m)
All of the Above
-7(6 + d) = 49
n+2=-14-n
The Division Property of Equality states that two sides of an equation are (a) when you (b) both sides by the same number, except for (c)
The Multiplication Property of Equality states that two sides of an equation are (a) when you (b) both sides by the (c) number.
24 = 3(3x −7)
x = −9
x = 5
x =3
x = 7
4 - 2(x - 3) = 24
-2
-1
4
2
3(x - 1) = 2x + 9
x = -9
A circle has diameter length 6 inches. Find the circumference.
28.27 inches
113.10 inches
37.70 inches
18.85 inches
What is the circumference? (a)
what is the circumference of this circle ? (a)
Determine the radius of the penny.
59.66 mm
9.5 mm
38 mm
119.32 mm
What is the area of a circle with a diameter of 14 inches? (a)
Solve for a. Round to the tenths place.
32a = 63 + 3a
37.1
4.8
6
2.2
Solve for x. Round to the tenths place.
234 + 85x = 3(x-23)
-2.8
-3.7
62.4
7
A circle has a circumference of 28 inches. What is the area? Use to solve & answer to the tenths place. (a)
What is the radius of a circle that has a circumference of 30 cm. Use the π symbol to solve & round to the tenths place.
58
4.8
37 .1
3.9
What is the area of a circle with the radius of 13? Use the π symbol & round to the tenths place.
530.9
212
153.9
81.7
Solve the following equation. (Type in the number only)
−5(4x+4)=140
(a)
Solve the following equation. (Type in the number only)
−9=p−4p
(a)
-5x = 25
Solve for x.
x36= 450
1.8
2.2
.08
.12
Solve for b. Round to the tenths place.
b45= 28
3.4
1.6
2.2
4.5
This formula is used to find what?
Circumference
Area
What is the length of the radius of the circle?
(a)
Find the circumference of the circle
50.24 yd
25.12 yd
11.14 yd
What is the radius of a circle with an area of 65?
4.5
6
212
2.2
x + 7 = 12
x - 4 = 6
What is the value of the variable?
13 + q = 56
69
40
43
42
m=-8
m=10
m=-10
m=8
0
Solve the following equation
2y = 18
y = 36
y = 16
y = 9
y = 20
Solve the following equation
8 = m - 12
x = 2
x = 4
x = 5
x = 20
Solve of k.
2k=9
17
30
26
18
Solve for m.
7m= 8
76
79
56
none of the above
Solve for j.
7 ⋅ j = 21
9
3
2
4
108 = 9r
11
15
7
12
Solve for y.
7y = 42
9
4
6
7
Solve for k.
k ÷ 9 = 10
99
90
9
11
4x = 72
x = 18
x = 68
x = 288
x = 62
y + 65 = 182
y = 107
y = 117
y = 247
y = 123
5.5z = 33
z = 3
z = 4
z = 5
z = 6
7
r12.4=3.1
r = 4
r = 5
r = 3
r = 2
r = 6
y + 6 = 20
y = 22
y = 13
y = 14
y = 16
12 + z = -15
-3
3
-27
27
r + 18 = -27
-45
45
-9
9
25 + k = 13
-12
12
-38
38
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?
The solution is x = 19.
20.5 = x + 4
What is the inverse operation needed to solve for p?
254 = p - 765
subtraction
addition
multiplication
division
How should you show your work to isolate the variable and solve the equation?
4b = 24
b = 12
b = 6
b = 28
b = 4
-7n = 35
n = 5
n = -7
n = -5
n = 35
−3 y= 33
y = -3
y = -99
y = 33
y = 11
5p=−30
p = -6
p = 5
p = -30
p = -150
−3t =−2.1
t = -3
t = -0.7
t = 0.7
t = 3
5d=−3
d = -3
d = 5
d = -15
d = 3
15 = 3y
y = 3
y = 5
y = 15
y = 45
4b=−5
b = -20
b = 4
b = -5
b = 1
24 = -6k
k = -30
k = 24
k = -6
k = -4
6d=−3
d = 2
d = -18
d = -2
d = -3
3j = -36
j = -3
j = 12
j = -12
j = 3
9.6 = 1.2 y
y = 1.2
y = 12
y = 8
y = 10.8
8x - 10 = -34
5x + 7 = 12
5x = 25
Which operation would you use to undo the following equation to solve for x?
x + 5 = 8
Addition
Subtraction
Multiplication
Division
Which operation would you use to undo the equation and solve for x?
5x = - 20
Addition
Subtraction
Multiplication
Division
Which operation would you use to undo the equation and solve for x?
Addition
Subtraction
Multiplication
Division
Which operation would you use to undo the equation and solve for x?
x - 9 = -10
Addition
Subtraction
Multiplication
Division
The _________ must be alone or isolated on one side of the equation.
constant
coefficient
exponent
variable
Isolate the variable by using __________ or opposite operations.
intricate
inverse
similar
the same
What is the inverse operation of addition?
multiplication
division
subtraction
exponents
What is the inverse operation of subtraction?
division
addition
multiplication
subtraction
What is the multiplication property of equality?
The property stating that when two sides of an equation are equal, you multiply both sides of the equation by the same number.
The property stating that when two sides of an equation are not equal, you multiply both sides of the equation by the same number.
The property stating that when two sides of an equation are equal, you multiply both sides of the equation by a different number.
The property stating that when two sides of an equation are not equal, you multiply both sides of the equation by the same number.
What is the division property of equality?
The property stating that when two sides of an equation are equal, you divide both sides of the equation by the different number. EXCEPT ZERO.
The property stating that when two sides of an equation are NOT equal, you divide both sides of the equation by the different number. EXCEPT ZERO.
The property stating that when two sides of an equation are equal, you divide both sides of the equation by the same number. EXCEPT ZERO.
The property stating that when two sides of an equation are equal, you divide both sides of the equation by the different number. EXCEPT ZERO.
Click on the entry that determines M2,3.
Match each matrix to its correct dimension.
1 x 3
3 x 1
2 x 4
4 x 2
2 x 3
The order of a matrix is written as
number of rows x number of columns
number of columns x number of rows
a multiple
a number
What are the dimensions of Matrix G?
2 x 3
3 x 2
Element G2,2 is
1
2
3
4
Determine the entry in b3,1
What are the dimensions of matrix M?
4 x 3
2 x 3
3 x 4
3 x 2
What are the dimensions of Matrix B?
4 x 3
3 x 2
2 x 3
3 x 4
Determine the entry for A 4,2
What are the dimensions for Matrix A?
4 x 3
3 x 2
3 x 4
2 x 3
A (a) is a rectangular array with data organized into rows and columns, closed in brackets to indicate boundaries.
An individual data number written inside a matrix that is identified by the row and column it's located in is called...
(a)
A (a) describes the size of the matrix by the number of rows and columns.
Describe the entry B 1,2.
Dallas had 37° weather on January 1, 2015.
Houston had 47° weather on January 1, 2015.
Dallas had 95° weather on July 4, 2015.
Houston had 92° weather on July 4, 2015.
