Question

7. (08.03 LC)

A set of equations is given below:

Equation E: a = 5b + 1
Equation F: a = 3b + 4

Which statement describes a step that can be used to find the solution to the set of equations? (1 point)


Equation F can be written as 5b + 1 = 3b + 4.
Equation F can be written as b + 1 = 3b + 4.
Equation F can be written as a = 3(a – 1) + 4.
Equation F can be written as a = 5(a – 4) + 1.
8. (08.03 LC)
A set of equations is given below:

Equation C: y = 7x + 12
Equation D: y = 7x + 2

How many solutions are there to the given set of equations? (1 point)


One solution
Two solutions
Infinitely many solutions
No solution
9. (08.03 MC)
Two equations are given below:

m + 5n = 20
m = n – 4

What is the solution to the set of equations in the form (m, n)? (1 point)


(3, 7)
(0, 4)
(5, 1)
(2, 6)
10. (08.03 MC)
A system of equations is shown below:

y = 3x – 7
y = 2x + 1

What is the solution to the system of equations? (1 point)


(8, 17)
(–8, 17)
(–8, –17)
(8, –17)
11. (08.05 LC)
A student is trying to solve the system of two equations given below:

Equation P: y + z = 6
Equation Q: 5y + 9z = 1

Which of the following is a possible step used in eliminating the y-term? (1 point)


(y + z = 6) • 9
(y + z = 6) • –5
(5y + 9z = 1) • 9
(5y + 9z = 1) • 5

Answer 1

7. A.
Because both define the variable a, the equations must be equivalent.

8. D no solution
The lines have the same slope and different y intercepts. Therefore they are parallel and never cross

9. B
(n-4)+5n=20
6n-4=20
6n=24
n=4

m=4-4
m=0

10. A
3x-7=2x+1
x-7=1
x=8

y= 2(8)+1
y=17

11. B
Since we already have 5y, we want -5y in order for them to cancel each other out.