AnswersNC-Math 4 CRAdding and Subtracting Matrices

Adding and Subtracting Matrices — Unit test Answers

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On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every 3 sugar cones. Which proportion can be used to represent the cone sales?

A
StartFraction 14 over 6 EndFraction = StartFraction 3 over 7 EndFraction
Option A
B
StartFraction 14 over 6 EndFraction = StartFraction 7 over 3 EndFraction
Option B
C
StartFraction 6 over 14 EndFraction = StartFraction 7 over 3 EndFraction
Option C
D
StartFraction 3 over 7 EndFraction = StartFraction 14 over 6 EndFraction
Option D
4

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

A
StartFraction 40 over 1 EndFraction = StartFraction 120 over 3 EndFraction
Option A
B
StartFraction 1 over 40 EndFraction = StartFraction 120 over 3 EndFraction
Option B
C
StartFraction 40 over 3 EndFraction = StartFraction 120 over 1 EndFraction
Option C
D
StartFraction 1 over 40 EndFraction = StartFraction 120 over 3 EndFraction
Option D
6

The cost of 5 pounds of apples is $6.45. Which statements can be used to solve for a, the cost of each pound of apples? Check all that apply.

A
To solve, find the cost of 1 pound of apples; write a multiplication equation.
B
To solve, find the cost of 1 pound of apples; write an addition equation.
C
The correct equation for this problem is . Solve this problem by dividing both sides by 5.
Option C
D
The correct equation for this problem is . Solve this problem by multiplying both sides by 5.
Option D
E
Each pound of apples costs $1.28.
F
Each pound of apples costs $1.29.
8

Which is the graph of the linear function that is represented by the equation ?

Question illustration
A
On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2).
Option A
B
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
Option B
C
On a coordinate plane, a line goes through points (0, negative 2) and (4, 0).
Option C
D
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Option D
9

Olaf needs a total of 3 cups of sugar to make 4 cakes. Write and solve an equation to find the number of cups of sugar he needs for each cake. Which number line shows the number of cups of sugar Olaf needs for each cake?

A
A number line going from negative 1.5 to positive 1.5. A point is at positive 0.75.
Option A
B
A number line going from negative 1.5 to positive 1.5. A point is at positive 1.
Option B
C
A number line going from negative 1.5 to positive 1.5. A point is at positive 1.30.
Option C
D
A number line going from negative 1.5 to positive 1.5. A point is at positive 1.5.
Option D
10

Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?

A
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
Option A
B
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
Option B
C
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
Option C
D
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).
Option D
11

Which linear equation has a slope of 3 and a y-intercept of –2?

A
y = 3x + 2
B
y = 3x – 2
C
y = –2x + 3
D
y = –2x – 3
12

Last year there were 221 students and 13 teachers at Hillard School. This year there are 272 students. The principal wants to keep the same student-to-teacher ratio as last year. Which proportion can the principal use to find x, the number of teachers needed this year?

A
StartFraction 272 over 221 EndFraction = StartFraction 13 over x EndFraction
Option A
B
StartFraction 221 over 272 EndFraction = StartFraction x over 13 EndFraction
Option B
C
StartFraction 221 over 13 EndFraction = StartFraction 272 over x EndFraction
Option C
D
StartFraction 13 over 221 EndFraction = StartFraction 272 over x EndFraction
Option D
14

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

A
y = negative StartFraction 1 Over 20 EndFraction x minus 5
Option A
B
y = negative StartFraction 1 Over 20 EndFraction x + 5
Option B
C
y = negative 20 x minus 5
Option C
D
y = negative 20 x + 5
Option D
17

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?

A
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
Option A
B
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
Option B
C
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
Option C
D
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Option D
18

Miguel volunteers at his local food pantry and takes note of how much money is donated each day during a 10-day fundraising phone-a-thon. Below is the graph that represents the data that he collected. The slope of the line that represents the data that Miguel collected is 25, and the y-intercept is 50. What do the slope and y-intercept represent in Miguel’s situation?

Question illustration
A
The slope indicates that the food pantry collects $50 each day. The y-intercept indicates that the pantry began with $50 in its donation account.
B
The slope indicates that the food pantry collects $25 each day. The y-intercept indicates that the pantry began with $25 in its donation account.
C
The slope indicates that the food pantry collects $25 each day. The y-intercept indicates that the pantry began with $50 in its donation account.
D
The slope indicates that the food pantry collects $50 each day. The y-intercept indicates that the pantry began with $25 in its donation account.

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Adding and Subtracting Matrices — Unit test…