Foundations of Linear Equations

Which of the following is the graph of y = -4x - 2

(-.5,0) & (0,2)

Which of the following is a solution to both y= 4x - 8 and y = 8x - 4?

(-1, -12)

What are the x and y intercepts for -3x + 5y = -15?

(0, -3) and (5, 0)

Which of the following is a solution to a formula that graphs with a y-intercept of -4?

(0, -4)

Solve the following system of equations 3x + y = 1 and -x + 2y = 2

(0, 1)

Solve the system of equations 2x + y = 4 and x - y = -1

(1, 2)

Which of the following is a solution to both y - 3x = 6 and y - 6x = 3?

(1,9)

Which is a solution for the function shown below? (0,3) & (2,0)

(2, 0)

What are the x and y-intercepts of 3x + 4y = 12?

(4, 0) and (0, 3)

Which linear equation has a y-intercept of 3 and a graph that slopes upward moving left to right?

-4x + 2y - 6 = 0

What is the slope of the horizontal line y = -3?

0

Which of the following is a rational number?

1/4, -25 & 100

Find the slope of the line 2x - y = 6.

2

I have 9 coins in my pocket. They are all nickels or dimes (no quarters or pennies). All together the coins are worth 80 cents. How many nickels and dimes do I have?

2 nickels and 7 dimes

Which line has the correct slope?

4x - 5y = 12 m = 4/5

The image is the graph of the line Ax + By = -5. Which of the following represents the correct signs for the coefficients of A and B?

A < 0 and B > 0

If a line has a slope of ½ and a y-intercept of 1, which of the following statements is true?

A perpendicular line will have a slope of -2

Which of the following is NOT a valid way of solving a system of linear equations?

Evaluation

Two points on a line are (2, 1) and (-3, 0). Which statement about the line is true?

The line never enters the fourth quadrant

Two points on a line are (3, 5) and (-4, 0). Which statement about the line is true?

The slope of the line is 5/7

Which of the following formulas could have a graph that starts below the origin, has a negative y-intercept and slopes upward as it moves from left to right?

Y = 2x - 4

You are shipping a package to a relative who lives in another state. Rapid Shipment charges a flat rate of $2.00 for the first 5 pounds and $0.50 for each pound over 5 pounds. Hare Shipment charges a flat rate of $3.00 for the first 5 pounds and $0.35 for each pound over 5 pounds. If the cost of shipping is represented by c, which system of equations is true?

c = 0.5(p-5) + 2 and c = 0.35(p-5) + 3

Two cellphone carriers offer different plans. Speedy Cellular offers a $100 monthly flat rate plus $10 for each gb of data that you use. Qwik Communications has no flat rate but charges $40 for each gb of data that you use. Let c = your total cost and d = the data used. What is a system of equations that represents these two plans?

c = 100 + 10d and c = 40d

An equation of the form y = mx + b has a graph that starts above the origin when x = 0 and slopes downward moving left to right. What are the correct signs for m and b?

m < 0 and b > 0

What is the slope of the line below? (0,3) & (4,0)

m = -3/4

What is the equation of the line graphed below? (-3,0) line goes straight vertically

x=-3

Which linear equation is shown below? (-6,0) & (0,4)

y = (2/3)x + 4

A line has the slope m = (-3/4) and a y intercept of -6. Which statement is TRUE?

y = (4/3)x - 7 is perpendicular to the given line

Which linear equation has the solutions (1, 3) and (3, 9)?

y = 3x