7.
Two equations are given below:

a – 3b = 4
a = b – 2

What is the solution to the set of equations in the form (a, b)? (5 points)



(–2, –2)
(–3, –1)
(–9, –7)
(–5, –3)
8.
A student is trying to solve the set of two equations given below:

Equation A: x + z = 6
Equation B: 2x + 4z = 1

Which of the following is a possible step used in eliminating the z-term? (5 points)



Multiply equation B by 4.
Multiply equation A by 2.
Multiply equation A by –4.
Multiply equation B by 2.
9.
The work of a student to solve a set of equations is shown:

Equation A: y = 4 – 2z
Equation B: 4y = 2 – 4z

Step 1: –4(y) = –4(4 – 2z) [Equation A is multiplied by –4.]
4y = 2 – 4z [Equation B]
Step 2: –4y = 4 – 2z [Equation A in Step 1 is simplified.]
4y = 2 – 4z [Equation B]
Step 3: 0 = 6 – 6z [Equations in Step 2 are added.]
Step 4: 6z = 6
Step 5: z = 1


In which step did the student first make an error? (5 points)



Step 1
Step 3
Step 4
Step 2
10.
Variable p is 2 more than variable d. Variable p is also 1 less than variable d. Which pair of equations best models the relationship between p and d? (5 points)



p = d + 2
p = d – 1
p = d – 2
p = d + 1
d = 2p
d = 2p – 1
d = 2p
d = 2p + 1