Answers2026 Summer 305 Edgenuity CR_Grade 8 Pre-Algebra_MathWriting and Solving Systems

Exploring Systems in the Real World Answers

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A system of linear equations includes the line that is created by the equation and the line through the points (3, 1) and (–5, –7), shown below. What is the solution to the system of equations?

Question illustration
A
(–6, –4)
B
(0, –1)
C
(0, –2)
D
(2, 0)
2
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Of the four choices given, which two, when written as a system, have a solution of (–4, 5)?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
3

What is the solution to the system that is created by the equation and the graph shown below?

Question illustration
A
(–8, –4)
B
(–4, –2)
C
(4, 2)
D
(6, 3)
4

The linear equation is represented on the graph below. A second linear equation is represented by the data in the table.xy–4–30–12062What is the solution to the system of equations?

Question illustration
A
(2, 0)
B
(0, 4)
C
(0, –1)
D
(4, –4)
5

Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?

A
2 y + x = 5. 5 x minus y = 3.
Option A
B
2 x + y = 5. 5 y minus x = 3.
Option B
C
2 y + x = 5. y minus 5 x = 3.
Option C
D
2 x + y = 5. x minus 5 y = 3.
Option D
6

A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.

A
x = one-half y minus 3
Option A
B
2 x minus y = negative 6
Option B
C
2 x minus y = negative 3
Option C
D
x = one-half (y minus 3)
Option D
E
y = 10 (x minus 1)
Option E
7

The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. Which equations represent this situation?

A
y = negative x. y = three-halves x minus 5.
Option A
B
y = x. y = three-halves x minus 5.
Option B
C
y = x. y = two-thirds x + StartFraction 10 Over 3 EndFraction.
Option C
D
y = negative x. y = two-thirds x + StartFraction 10 Over 3 EndFraction
Option D
8

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the second number and 5. The situation can be represented by using the graph below, where x represents the second number. Which equations represent the situation?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
9

A system of linear equations includes the line that is created by the equation , graphed below, and the line through the points (3, 1) and (4, 3). What is the solution to the system of equations?

Question illustration
A
(–1, 2)
B
(1, 3)
C
(8, 11)
D
(9, 12)
10

A system of equations is created by using the line that is created by the equation and the line that is created by the data in the table below. xy–3–9–1–53357What is the y-value of the solution to the system?

Question illustration
Answer not available

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