Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRUnit Test

Unit Test — Unit test Answers

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1
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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
2
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Two linear equations are represented by using the tables below.The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line.What is the solution to the system of equations?

Question illustration
A
(–2, –8)
B
(–1, –5)
C
(0, –2)
D
(2, 4)
3

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
4

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the smaller number. Which equations represent the situation?

A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
5

A system of equations is created by using the line represented by and the line represented by the data in the table below. xy–183–45–106–13What is the x-value of the solution to the system?

Question illustration
Answer not available
6

A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger number. Which two equations represent the situation?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
7

Moises is determining the solution to the system of equations that is show below. Equation representing line A: Points on line B: (3, –12) and (9, –24) Step 1: Determine the slope for B: Step 2: Determine the y-intercept for B: Step 3: Write the equation in slope-intercept form: Step 4: Graph the equations: Step 5: Determine the intersection point: approximately (–9, –2)Which best describes Moises’ error?

Question illustration
A
Moises incorrectly determined the slope of the line.
B
Moises incorrectly determined the y-intercept of the line.
C
Moises incorrectly graphed one or both of the stated equations.
D
Moises incorrectly approximated the point of intersection shown on the graph.
8

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)
9

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation?

A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
10

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?

A
Infinitely many solutions exist because the two situations describe the same line.
B
Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
C
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
D
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.

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