Five more than the product of two and a number, decreased by seven; evaluate when a = 8

A 2-column table with 7 rows. Column 1 is labeled Key Words with entries five, more than, product, two, a number, decreased by, seven. Column 2 is labeled Replace with entries 5, +, times, 2, a, minus, 7.

Write and evaluate the expression. Then, complete the statements.

First, write the expression
.

Second,
8 in for the variable, a.

Third,
by using
✔ order of operations
.

The answer is
.

First, write the expression

✔ 5 + 2a – 7

.

Second,

✔ substitute

8 in for the variable, a.

Third,

✔ simplify

by using

✔ order of operations

The answer is

✔ 14

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions