Operations on integers
What are the four operations used in mathematics?
Multiplication, Division, Addition and Subtraction.
List the order of operations using the acronym PEMDAS.
Parenthesis, Exponent, Multiply, Divide, Add and Subtract.
Identify the coefficient in the term (4x2).
4
What is a fraction?
A fraction is an equal part of a whole.
Calculate the sum of −7+5.
-2
What is the rule that governs order of operations when dealing with MULTIPLICATION and DIVISION?
Whichever comes first moving from left to right.
Calculate the value of the expression (3x + 7) when (x = -2).
1
Identify whether 5/6 is greater than or less than 2/3.
5/6 is greater.
What is (-3)+(-5)-2?
-10
Estimate the result of 8÷2+4×3−1 using the order of operations.
15
Classify the following terms as monomials, binomials, or polynomials: (5x), (3x + 4), (2x2 + 5x + 1).
(5x) is a monomial.
(3x + 4) is a binomial.
(2x2 + 5x + 1) is a polynomial.
Classify the following fractions as proper, improper, or mixed: 7/4, 3/5, and 5/5.
7/4 is improper, 3/5 is proper and 5/5 is improper.
What is the exact value of (1/2)2?
1/4
Analyze the expression 2+3×(4−1) and explain each step taken to arrive at the final answer.
Step 1: Subtract 1 from 4
Step 2: Multiply 3 by 3
Step 3: Add 2 and 9
Summarize the steps to simplify the expression (5x + 3x - 2).
Step 1: add 5x and 3x together since they are like terms.
Step 2: 8x-2 because 8x and -2 are unlike terms.
Formulate a strategy to divide 3/4 by 2/3. What steps will you take?
Step 1: Keep the first fraction.
Step 2: Change the sign from divide to multiply.
Step 3: Reciprocate (flip) the second fraction.
What is the exact value of (-3)3?
-27
Place parentheses in the expression 4+6÷2×3 to have a result of 13.
4+(6÷2)×3
Combine the terms (5a + 3b - 2a + 4b) and find the simplified expression.
5a-2a+3b+4b
3a+7b
What is the sum of 3 1/2 and 2 1/3?
5 5/6