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Year 8: The magic of algebra
What is the sum of 3 and 7?
How do you solve 4x/7 = 8?
Year 8: The magic of algebra
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1
How do you solve 4x/7 = 8?
Subtract both sides 7/4
Add both sides 7/4
Divide both sides by 7/4
Multiply both sides by 7/4
2
What is the sum of 3 and 7?
A) 10
B) 4
C) 3
D) 7
3
Complete: 2x/5 = 10, x = ?
20
25
2
5
4
Which operation clears fractions in 3/4x = 6?
Add both sides 4
Multiply both sides by 4
Subtract both sides 4
Divide both sides by 4
5
True or False: 5x/6 = 30, x = 36
FALSE
FALSE
TRUE
TRUE
6
What is x in 3x/8 = 12?
8
24
32
16
7
What is the product of 3 and 6?
A) 9
D) 36
B) 18
C) 21
8
True or False: 2x/3 = 18, x = 27
TRUE
TRUE
FALSE
FALSE
9
What is an expression?
B) A form with numbers, variables, and operation signs
A) An equation with an "=" sign
C) Only numbers
D) Only variables
10
What is the first step in solving x/2 = 3?
Multiply both sides by 2
Divide both sides by 2
Add both sides 2
Subtract both sides 2
11
Complete: 5x/8 = 20, x = ?
40
16
32
25
12
The quotient of x and y is represented by:
C) x×y
B) x−y
A) x+y
D) x/y
13
In the expression 3x−2y+7, which is the constant term?
D) None of the above
A) 3x
B) -2y
C) 7
14
What is the average of a, b, and c?
D) a−b−c
C) (a×b×c)/3
A) a+b+c
B) (a+b+c)/3
15
In the expression 2a+3b−c, what is the coefficient of c?
C) 2
D) 1
A) 3
B) -1
16
In the expression 4x+3y−5, which are the like terms?
A) 4x and 3y
D) There are no like terms
B) −5 and 4x
C) Only 3y
17
What does "like terms" mean?
B) Terms with the same variable form
D) Only constant terms
C) Terms with different variables
A) Terms with the same numerical values
18
What is a variable?
B) An unknown value represented by a letter or symbol
A) A known value
C) An operation in an equation
D) A fixed number
19
The difference between 9 and 5 is:
A) 4
D) 45
C) -4
B) 14
20
True or False: x/3 = 9, x = 27
FALSE
TRUE
FALSE
TRUE
21
What are terms in algebra?
B) Only the variables in an expression
D) Only the coefficients
A) Parts separated by addition or subtraction signs
C) Only constants in an expression
22
What is the meaning of an equation?
B) An expression that doesn’t include variables
A) A mathematical statement without any operations
C) A statement that two expressions are equal
D) A collection of numbers
23
Which step solves 7x/9 = 14?
Subtract both sides by 9/7
Add 9/7 to both sides
Divide 9/7 by both sides
Multiply 9/7 by both sides
24
Which of the following is an example of an equation?
D) a+b+c
A) 3x+7
B) 2y−3
C) x+4=10
25
In the expression 4x+2xy−y^3, what is the coefficient of xy?
C) -1
B) 2
A) 4
D) 3
