Algebraic Equation Solution

Write an equation for the word sentence:
The sum of a number and 4.5 is 8.2.

• 8.2=4.5n

• n+4.5=8.2

• 8.2n=4.5

• n-4.5=8.2

Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58;  x = 82

• yes

• no

Solve the equation:
a + 2.4 = 7.8

• a = 10.2

• a = 5.4

• a = 17.76

• a = 3.25

Solve the equation:
b - ¼ = 3 ½

• b = 3 ¼

• b = 14

• b = ⅞

• b = 3 ¾

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Determine the values of x and y that satisfy the equations: 6x + 2y = 14 and 3x - 5y = 1

• x = 3, y = 4

• x = 2, y = 5

• x = 1, y = 7

• x = 5, y = 2

Determine the values of x and y that satisfy the equations: 7x - 2y = 5 and 3x + 4y = 11

• x = 4, y = 3

• x = 2, y = 4

• x = 3, y = 2

• x = 5, y = 1

Find the value of s if (23,2), is a solution of sx + 12y = 7 is

• 476

• -0.739

• 12.32

• -1.453

The equation y = 3x + 5 has _____

• A unique solution

• Only two solutions

• Three solutions

• Infinitely many solutions

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

• 4

• 5

• 6

• 2