DEFINITIONS
Algebraic word problems are questions that require translating sentences to equations. The equations we need to write will only involve basic arithmetic operations and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
SOLUTION STEPS
Step 1: Name the variable.
The variable, in this case, is n.
Step 2: Identify the mathematical operation in this mathematical statement.
Product refers to multiplication. Therefore, we will be using the multiplication operation for the question.
Step 3: Write out the algebraic expression for the statement: "The product of 7 and a number".
Since we are representing the number with n, the product of n and 7 will be given to be:
ANSWER:
The correct option is OPTION B.
Answer:
D
Step-by-step explanation:
From the diagram
BW = IR
∠BWO = ∠IRO
WO = OR
Hence triangles are congruent by the SAS postulate → D
Answer: -1
Solution:
20 + 4x = 16
Rearrange the terms
4x = 16 - 20
Calculate
4x = -4
Divide both sides
x = -4/4
Simplify
x = -1
Show me a picture I’m not sure?
Answer:
QR = 4x - 6
Step-by-step explanation:
A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.
From the question:
Perimeter of triangle PQR = PQ + PR + QR
But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.
Therefore substituting gives:
8x - 6 = (x + 1) + (3x - 1) + QR
8x - 6 = (x + 3x + 1 - 1) + QR
8x - 6 = 4x + QR
QR = (8x - 6) - 4x
QR = 4x - 6
