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WorksheetsUnit 5 Vocabulary
Total questions: 56
Worksheet time: 28mins
What is a coefficient? Choose the correct answer.
A variable in an expression
A number that is multiplied by a variable
The sum of all numbers in an expression
A mathematical operation
In the expression 3x + 4y + 12, fill in the blanks: The coefficients are ___ and ___.
3 and 4
4 and 12
3 and 12
12 and 4
A constant is a term that only contains a _______.
number
variable
operator
function
In the expression 5x + 7 = 12, which term is the coefficient?
5
x
7
12
In the expression 5x + 7 = 12, which term is the variable?
5
x
7
12
In the expression 5x + 7 = 12, which terms are constants?
5
x
7
12
Fill in the blank: 7 __ 4 = 3
7 - 4 = 3
7 + 4 = 3
7 × 4 = 3
7 ÷ 4 = 3
Fill in the blank: 12 __ 4 = 3
12 ÷ 4 = 3
12 + 4 = 3
12 - 4 = 3
12 × 4 = 3
Substitution is the replacement of the variable of an expression with a _______.
number
letter
symbol
operator
Evaluate y = x + 3 when x = 5. What is the value of y?
5
8
3
10
What is a variable? Fill in the blank: A variable is a letter that represents an ________ value.
unknown
constant
visible
fixed
Which of the following are variables in the algebraic expression 2x + 3p - 10y?
A) x, p, y
B) 2, 3, 10
C) +, -
D) x, 2, y
What is a bar diagram?
A type of chart that uses circles to represent data
A visual representation of a mathematical problem using rectangular bars divided into segments
A graph that shows data using lines
A table that lists numbers in rows and columns
Given the bar diagram showing 4 segments each labeled x+2 and the total length is 12, solve for x in the equation 4(x + 2) = 12. Fill in the blank: x = ____
1
2
0
3
What does 'Combine Like Terms' mean in algebra?
A way of multiplying algebraic expressions
A way of simplifying algebraic expressions by grouping similar parts together
A way of dividing algebraic expressions
A way of factoring algebraic expressions
Simplify the expression by combining like terms: 3a + 4b + 2a - 2b = ____
5a + 2b
7a + 6b
5a + 6b
3a + 2b
Which of the following are like terms in the expression 3a + 4b + 2a - 2b?
3a and 4b
3a and 2a
4b and -2b
Both B and C
What does isolating a variable mean in algebra?
Rearranging an equation so the variable is alone on one side of the equals sign
Adding numbers to both sides of the equation
Multiplying both sides by the same number
Leaving the variable with other terms on the same side
Solve for x: x + 9 = 3 Fill in the blank: x = ____
-6
6
-12
12
What is the Distributive Property?
The property which allows you to simplify expressions by multiplying a factor with each term within parentheses.
The property which allows you to add numbers inside parentheses.
The property which allows you to divide numbers inside parentheses.
The property which allows you to subtract numbers inside parentheses.
Fill in the blank using the distributive property formula: a(b + c) = ____
ab + ac
a + b + c
ab + c
a(b) + c
The properties of equality state that performing the same operation on both sides of an equation maintains the equality. Which of the following best describes the properties of equality?
Changing only one side of the equation
Performing the same operation on both sides of the equation
Ignoring the operation
Solving only for addition
Solve for x: x - 7 = 25
32
18
25
30
Solve for y: y + 9 = 45
36
45
54
27
Solve for v: v ÷ 8 = 9
72
8
81
17
Solve for w: 3w = 24
8
6
12
24
What is a solution in mathematics?
The value or set of values that satisfy a given equation, inequality, or problem.
A type of mathematical operation used to add numbers.
A geometric shape with equal sides.
A number that cannot be divided by any other number.
Fill in the blank: 2 + x = 4. The solution is x = ___.
2
1
3
0
Fill in the blank: a + 14 = 23. The solution is a = ___.
9
7
11
13
What does 'greater than' mean?
Something is less or smaller than something else.
Something is more or larger than something else.
Something is equal to something else.
Something is divided by something else.
Fill in the blank: The greater-than symbol (>) shows a comparison of two numbers with the number of ______ value shown first, or on the left.
greater
lesser
equal
average
Which of the following statements is true?
42 > 36
36 > 42
42 < 36
36 < 42
In the diagram, what does the open circle on the number line represent in the inequality x > 1?
The open circle represents that 1 is not included in the solution for x > 1.
The open circle represents that 1 is included in the solution for x > 1.
The open circle represents that all numbers less than 1 are included.
The open circle represents that x can be any value.
What does the 'greater than or equal to' (≥) symbol mean?
A) A value is less than another value
B) A value is greater than or equal to another value
C) A value is equal to another value
D) A value is not equal to another value
Fill in the blank: The greater than or equal to symbol (≥) shows a comparison of two numbers with the number of greater or equal to value shown ______, or on the left.
first
last
second
next
Which of the following statements is true?
37 ≥ 36
36 ≥ 37
37 ≤ 36
36 ≤ 37
Refer to the diagram showing 'x ≥ 1' with a closed circle at 1 and an arrow pointing right. What does the closed circle at 1 represent?
x is less than 1
x is greater than 1
x is equal to 1
x is greater than or equal to 1
What is an inequality? Fill in the blank: An inequality is a mathematical sentence that uses __, __, __, __, or __ to compare two quantities.
<, ≤, >, ≥, ≠
+, -, ×, ÷, =
<, >, =, ≠, +
≤, ≥, =, ≠, ×
Which inequality symbol is used in the sentence 'y < 4'?
<
≤
>
≥
≠
Which inequality symbol is used in the sentence '3r ≥ -7.5'?
<
≤
>
≥
≠
Fill in the blank: The solution to the inequality -3(n - 4) < 0 is shown on the number line. What is the value of n?
n > 4
n < 4
n = 4
n > -4
What does 'less than' mean?
Something is greater or larger than something else.
Something is equal to something else.
Something is less or smaller than something else.
Something is not comparable.
Fill in the blank: The less-than symbol (<) shows a comparison of two numbers with the number of lesser value shown first, or on the _____
left
right
top
bottom
Which of the following statements is true? Choose the correct answer.
62 < 84
62 > 84
62 = 84
84 < 62
What does the symbol '<' represent in the context of the number line and the equation x < 1?
A) x is greater than 1
B) x is less than 1
C) x is equal to 1
D) x is not a number
What does 'less than or equal to' mean?
A value is greater than another value
A value is less than or equal to another value
A value is equal to another value
A value is less than another value
Fill in the blank: The less-than or equal to symbol (≤) shows a comparison of two numbers with the number of lesser or equal to value shown first, or on the _____
left
right
top
bottom
Which of the following statements is true?
47 ≤ 56
47 ≥ 56
47 = 56
47 > 56
What does the closed circle on the number line represent in the inequality x ≤ 1?
x is greater than 1
x is less than 1
x is less than or equal to 1
x is equal to 1
What is a negative number?
A number greater than zero
A number less than zero
A number equal to zero
A number to the right of zero on a number line
Fill in the blank: On a number line, negative numbers are located to the ______ of zero.
left
right
top
bottom
The number 0 is neither positive nor negative.
True
False
What is the reciprocal of the fraction 3/4?
4/3
3/4
1/3
3/1
Two numbers are reciprocals if their product is:
0
1
2
-1
What is a multi-step inequality?
An inequality that requires only one algebraic operation to solve for the unknown variable.
An inequality that requires more than one algebraic operation to solve for the unknown variable.
An equation that requires more than one algebraic operation to solve for the unknown variable.
An equation that requires only one algebraic operation to solve for the unknown variable.
Solve the inequality and graph the solutions: 8 - 3y ≥ 29
-7
-5
3
7
