Question

y is 54 more than x, what equation represents the relationship described above?
A. y = x + 54
B. x = y + 54
C. y = x - 54
D. x = 54 - y

Answer 1

A. y = x + 54

Answer 2

y is 35 more than x, what equation represents the relationship described above?
A. x = y + 35
B. y = x + 35
C. y = x - 35
D. x = 35 - y

Answer 3

B. y = x + 35

Answer 4

What is the equation of a line that has a y-intercept of 1 and passes through the point (2,3 )
A. y = x + 1
B. y = x - 1
C. y = x + 2
D. y = x - 3

Answer 5

To find the equation of a line given a y-intercept and one additional point, we can first determine the slope of the line using the y-intercept and the given point, then use this information to find the equation of the line.

Given y-intercept (0, 1) and point (2, 3):
The slope of the line, m, is given by:
m = (y2 - y1) / (x2 - x1)
m = (3 - 1) / (2 - 0)
m = 2 / 2
m = 1

Now that we know the slope is 1, we can plug the values into the point-slope form of the equation of a line:

y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = x

Therefore, the equation of the line passing through the point (2, 3) with a y-intercept of 1 is:
A. y = x + 1

Answer 6

y is 8 more than x, what equation represents the relationship described above?
A. y = x + 8
B. y = x - 8
C. x = y + 8
D. x = 8 - y

Answer 7

A. y = x + 8

Answer 8

A grocery store charges a fixed delivery fee of $5 for each home-delivery order. The equation given below represents the situation, where y represents the total amount charged for delivering the groceries, and x represents the cost of the groceries.
y = x + 5
What is the y-intercept of the relationship?
A. 5
B. x
C. x + 5
D. y - 5

Answer 9

The y-intercept of an equation represents the value of y when x is equal to 0.

In the equation given:
y = x + 5

If we substitute x = 0 into the equation, we get:
y = 0 + 5
y = 5

Therefore, the y-intercept is 5.

So, the answer is:
A. 5

Answer 10

Michelle made a bead necklace with a length of 12 inches. The length of the necklace, in inches, is equal to 2 added to the quotient of the number of beads, b, and 7.
b ÷ 7 + 2 = 12
How many beads did she use?
A. 700
B. 46
C. 35
D. 70

Answer 11

To solve for the number of beads, we can rewrite the equation given and solve for b:

b ÷ 7 + 2 = 12
b ÷ 7 = 12 - 2
b ÷ 7 = 10
b = 10 * 7
b = 70

Therefore, Michelle used 70 beads.

So, the correct answer is:
D. 70