1.
a student is trying to solve the system of two equations given below:
equation p: a + b = 6
equation q: 4a + 2b = 19
which of the following steps can be used to eliminate the a term? (4 points)
–1(4a + 2b = 19)
–4(4a + 2b = 19)
–4(a + b = 6)
4(a + b = 6)
2.
jordan wants to solve the following system using the elimination method:
2x + 3y = 10
x + y = 7
what number should the equation x + y = 7 be multiplied by to eliminate y? (4 points)
–2
2
–3
3
3.
jemma wants to solve the following system using the elimination method:
y = x – 6
y = 6x – 19
what number should the equation y = x – 6 be multiplied by to eliminate x? (4 points)
1
2
4
–6
4.
which of the following ordered pairs represents the solution to the system given below?
x – 4y = 7
5x + 9y = 6 (4 points)
(3, –1)
(3, 1)
(1, –3)
(–1, –3)
5.
the work of a student to solve a set of equations is shown below:
equation 1: x + 2y = 10
equation 2: 2x + 5y = 15
step 1: –2(x + 2y) = –2(10)
2x + 5y = 15
step 2: –2x – 4y = –10
2x + 5y = 15
step 3: 1y = 5
step 4: x + 2(1) = 10
step 5: x = 8
in which step did the student first make an error? (4 points)
step 1
step 2
step 3
step 4