AnswersAZ-Algebra 1A MA101Writing Linear Equations

Writing Linear Equations Answers

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The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

A
y = 12x + 8
B
y = 12x − 8
C
y = 14x + 8
D
y = 14x − 8
2
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Line GH passes through points (2, 5) and (6, 9). Which equation represents line GH?

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

Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

A
–21
B
–4
C
11
D
27
4

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Question illustration
A
x – 4y = 8
B
x – 4y = 2
C
4x – y = 8
D
4x – y = 2
5

Marty and Ethan both wrote a function, but in different ways.Marty Ethan

Question illustration
A
Marty’s with a slope of 2/3
B
Ethan’s with a slope of 2/5
C
Marty’s with a slope of 1/3
D
Ethan’s with a slope of 1/5
6

Tim explained a function in words and Paul wrote an equation.TimThe amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Pauly−1,400=56(x+26)Whose function has the smaller y-intercept?

A
Tim’s with a y-intercept of $2,700
B
Paul’s with a y-intercept of $2,856
C
Paul’s with a y-intercept of $2,800
D
Tim’s with a y-intercept of $2,780
7

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=. What is the value of b?

Question illustration
A
−6
B
−5
C
5
D
6

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